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					          MA160 MathXL homework correspondance with text book problems - Spring 2008
             Text: Caclucus and Its Applications 9th ed, Bittinger and Ellenbogen/AW

MathXL # Text #                                         Concept                                   Point Value
Section R.1 Graphs and Equations
    1     R.1.7      Graph equations.                                                                 1
    2     R.1.13     Graph equations.                                                                 1
    3     R.1.17     Graph equations.                                                                 1
    4     R.1.19     Graph equations.                                                                 1
    5     R.1.21     Graph equations.                                                                 1
    6     R.1.23     Use mathematical models to make predictions.                                     1
    7     R.1.29     Carry out calculations involving compound interest and annuities.                1
    8     R.1.35     Carry out calculations involving compound interest and annuities.                1
Section R.2 Functions and Models
    1     R.2.1      Determine whether or not a    correspondence   is   a   function.                1
    2     R.2.3      Determine whether or not a    correspondence   is   a   function.                1
    3     R.2.11     Determine whether or not a    correspondence   is   a   function.                1
    4     R.2.13     Determine whether or not a    correspondence   is   a   function.                1
    5     R.2.15     Determine whether or not a    correspondence   is   a   function.                1
    6     R.2.21     Find function values.                                                            1
    7     R.2.25     Graphs functions.                                                                1
    8     R.2.29     Graphs functions.                                                                1
    9     R.2.33     Graphs functions.                                                                1
   10     R.2.49     Find function values.                                                            1
   11     R.2.51     Find function values.                                                            1
   12     R.2.63     Graphs functions.                                                                1
   13     R.2.65     Solve application problems.                                                      1
   14     R.2.69     Solve application problems.                                                      1
Section R.3 Finding Domain and Range
    1     R.3.7      Write interval notation for a set of points.                                     1
    2     R.3.9      Write interval notation for a set of points.                                     1
    3     R.3.11     Write interval notation for a set of points.                                     1
    4     R.3.19     Write interval notation for a set of points.                                     1
    5     R.3.21     Find the domain and the range of a function.                                     1
    6     R.3.25     Find the domain and the range of a function.                                     1
    7     R.3.33     Find the domain and the range of a function.                                     1
    8     R.3.37     Find the domain and the range of a function.                                     1
    9     R.3.39     Find the domain and the range of a function.                                     1
   10     R.3.41     Find the domain and the range of a function.                                     1
   11     R.3.45     Find the domain and the range of a function.                                     1
   12     R.3.57     Solve application problems.                                                      1
   13     R.3.59     Solve application problems.                                                      1
Section R.4 Slope and Linear Functions
    1     R.4.13     Graph linear equations.                                                          1
    2     R.4.21     Find the slope and y-intercept.                                                  1
    3     R.4.27     Find an equation of a line when given its slope and one point on the line.       1
    4     R.4.33     Find an equation of a line when given its slope and one point on the line.       1
    5     R.4.37     Find an slope of a line when given two points on the line.                       1
    6     R.4.45     Find an slope of a line when given two points on the line.                       1
    7     R.4.55     Find an equation of a line when given two points on the line.                    1
    8     R.4.61     Solve applied problems involving slope and linear functions.                     1
    9     R.4.63     Solve applied problems involving slope and linear functions.                     1
    10     R.4.73     Solve applied problems involving slope and linear functions.                                 1
    11     R.4.75     Solve applied problems involving slope and linear functions.                                 1
    12     R.4.83     Solve applied problems involving slope and linear functions.                                 1
Section R. 5 Nonlinear Functions and Models
     1     R.5.3      Graph functions.                                                                             1
     2     R.5.5      Graph functions.                                                                             1
     3     R.5.7      Graph functions.                                                                             1
     4     R.5.9      Graph functions.                                                                             1
     5     R.5.11     Graph functions.                                                                             1
     6     R.5.13     Find the parabola's vertex.                                                                  1
     7     R.5.17     Graph functions.                                                                             1
     8     R.5.29     Graph functions.                                                                             1
     9     R.5.35     Graph functions.                                                                             1
    10     R.5.37     Solve quadratic equations.                                                                   1
    11     R.5.43     Solve quadratic equations.                                                                   1
    12     R.5.47     Manipulate radical expressions and rational exponents.                                       1
    13     R.5.51     Manipulate radical expressions and rational exponents.                                       1
    14     R.5.55     Manipulate radical expressions and rational exponents.                                       1
    15     R.5.59     Manipulate radical expressions and rational exponents.                                       1
    16     R.5.69     Manipulate radical expressions and rational exponents.                                       1
    17     R.5.77     Manipulate radical expressions and rational exponents.                                       1
    18     R.5.81     Determine the domain of a rational function.                                                 1
    19     R.5.85     Determine the domain of a rational function.                                                 1
    20     R.5.87     Solve application problems.                                                                  1
    21     R.5.97     Solve application problems.                                                                  1
Section R.6 Mathematical Modeling and Curve Fitting
    1      R.6.1      Determine the type of function could be used as a model for the data.                        1
    2      R.6.7      Determine the type of function could be used as a model for the data.                        1
                      Use curve fitting to find a mathematical model for a set of data and use it to
    3      R.6.11     make predictions.                                                                            1
                      Use curve fitting to find a mathematical model for a set of data and use it to
    4      R.6.13     make predictions.                                                                            1
                      Use curve fitting to find a mathematical model for a set of data and use it to
    5      R.6.15     make predictions.                                                                            1
Section 1.1 Limits: A Numerical and Graphical Approach
     1     1.1.11     Find limits of functions, if they   exist,   using   numerical   or   graphical   methods.   1
     2     1.1.15     Find limits of functions, if they   exist,   using   numerical   or   graphical   methods.   1
     3     1.1.29     Find limits of functions, if they   exist,   using   numerical   or   graphical   methods.   1
     4     1.1.31     Find limits of functions, if they   exist,   using   numerical   or   graphical   methods.   1
     5     1.1.33     Find limits of functions, if they   exist,   using   numerical   or   graphical   methods.   1
     6     1.1.37     Find limits of functions, if they   exist,   using   numerical   or   graphical   methods.   1
     7     1.1.39     Find limits of functions, if they   exist,   using   numerical   or   graphical   methods.   1
     8     1.1.45     Find limits of functions, if they   exist,   using   numerical   or   graphical   methods.   1
     9     1.1.55     Find limits of functions, if they   exist,   using   numerical   or   graphical   methods.   1
    10     1.1.59     Find limits of functions, if they   exist,   using   numerical   or   graphical   methods.   1
    11     1.1.69     Solve application problems.                                                                  1
Section 1.2 Algebraic Limits and Continuity
    1      1.2.9      Develop and use the limit principles to calculate limits.                                    1
    2      1.2.13     Develop and use the limit principles to calculate limits.                                    1
    3      1.2.17     Develop and use the limit principles to calculate limits.                                    1
    4      1.2.19     Develop and use the limit principles to calculate limits.                                    1
    5      1.2.27     Determine whether a function is continuous at a point.                                       1
    6      1.2.34     Determine whether a function is continuous at a point.                                       1
     7     1.2.37      Determine   whether     a   function   is   continuous   at   a   point.            1
     8     1.2.39      Determine   whether     a   function   is   continuous   at   a   point.            1
     9     1.2.43      Determine   whether     a   function   is   continuous   at   a   point.            1
    10     1.2.57      Determine   whether     a   function   is   continuous   at   a   point.            1
Section 1.3 Average Rates of Change
     1     1.3.1       Find a simplified difference quotient.                                              1
     2     1.3.7       Find a simplified difference quotient.                                              1
     3     1.3.9       Find a simplified difference quotient.                                              1
     4     1.3.15      Find a simplified difference quotient.                                              1
     5     1.3.17      Solve average rate of change problems.                                              1
     6     1.3.27      Solve average rate of change problems.                                              1
     7     1.3.29      Solve average rate of change problems.                                              1
     8     1.3.33      Solve average rate of change problems.                                              1
     9     1.3.37      Solve average rate of change problems.                                              1
    10     1.3.41      Solve average rate of change problems.                                              1
Section 1.4 Differentiation Using Limits of Difference Quotients
     1     1.4.3       Find derivatives and values of derivatives.                                         1
     2     1.4.7       Find derivatives and values of derivatives.                                         1
     3     1.4.13      Find derivatives and values of derivatives.                                         1
     4     1.4.15      Find derivatives and values of derivatives.                                         1
     5     1.4.17      Find the equation of a tangent line.                                                1
     6     1.4.19      Find the equation of a tangent line.                                                1
     7     1.4.21      Find the equation of a tangent line.                                                1
     8     1.4.25      Determine where the function is not differentiable.                                 1
     9     1.4.35      Find derivatives and values of derivatives.                                         1
    10     1.4.39      Find derivatives and values of derivatives.                                         1
    11     1.4.40      Find derivatives and values of derivatives.                                         1
Section 1.5 Differentiation Techniques: The Power and Sum-Difference Rules
     1     1.5.1       Differentiate using the power rule.                                                 1
     2     1.5.9       Differentiate using the power rule.                                                 1
     3     1.5.13      Differentiate using the sum-difference rule.                                        1
     4     1.5.19      Differentiate a constant or a constant times a function.                            1
     5     1.5.21      Differentiate a constant or a constant times a function.                            1
     6     1.5.31      Differentiate using the sum-difference rule.                                        1
     7     1.5.37      Differentiate a constant or a constant times a function.                            1
     8     1.5.43      Differentiate a constant or a constant times a function.                            1
     9     1.5.52      Differentiate using the power rule.                                                 1
    10     1.5.53      Differentiate a constant or a constant times a function.                            1
    11     1.5.55      Find the equation of a tangent line.                                                1
    12     1.5.63      Determine points at which a tangent line has a specified                   slope.   1
    13     1.5.65      Determine points at which a tangent line has a specified                   slope.   1
    14     1.5.69      Determine points at which a tangent line has a specified                   slope.   1
    15     1.5.77      Determine points at which a tangent line has a specified                   slope.   1
    16     1.5.79      Determine points at which a tangent line has a specified                   slope.   1
    17     1.5.81      Solve application problems.                                                         1
    18     1.5.87      Solve application problems.                                                         1
Section 1.6 Differentiation Techniques: The Product and Quotient Rules
    1      1.6.7       Differentiate   using   the   product   and   the   quotient      rules.            1
    2      1.6.9       Differentiate   using   the   product   and   the   quotient      rules.            1
    3      1.6.15      Differentiate   using   the   product   and   the   quotient      rules.            1
    4      1.6.21      Differentiate   using   the   product   and   the   quotient      rules.            1
    5      1.6.23      Differentiate   using   the   product   and   the   quotient      rules.            1
    6     1.6.25      Differentiate using the product   and   the   quotient     rules.                                  1
    7     1.6.27      Differentiate using the product   and   the   quotient     rules.                                  1
    8     1.6.33      Differentiate using the product   and   the   quotient     rules.                                  1
    9     1.6.35      Differentiate using the product   and   the   quotient     rules.                                  1
   10     1.6.39      Differentiate using the product   and   the   quotient     rules.                                  1
   11     1.6.101     Solve application problems.                                                                        1
   12     1.6.111     Solve application problems.                                                                        1
Section 1.7 The Chain Rule
    1     1.7.3       Differentiate using the extended power        rule   or   the   chain   rule.                      1
    2     1.7.7       Differentiate using the extended power        rule   or   the   chain   rule.                      1
    3     1.7.11      Differentiate using the extended power        rule   or   the   chain   rule.                      1
    4     1.7.13      Differentiate using the extended power        rule   or   the   chain   rule.                      1
    5     1.7.17      Differentiate using the extended power        rule   or   the   chain   rule.                      1
    6     1.7.23      Differentiate using the extended power        rule   or   the   chain   rule.                      1
    7     1.7.27      Differentiate using the extended power        rule   or   the   chain   rule.                      1
    8     1.7.31      Differentiate using the extended power        rule   or   the   chain   rule.                      1
    9     1.7.37      Differentiate using the extended power        rule   or   the   chain   rule.                      1
   10     1.7.41      Differentiate using the extended power        rule   or   the   chain   rule.                      1
   11     1.7.45      Differentiate using the extended power        rule   or   the   chain   rule.                      1
   12     1.7.51      Differentiate using the extended power        rule   or   the   chain   rule.                      1
   13     1.7.58      Find the equation of the tangent line.                                                             1
   14     1.7.63      Find the composition of two functions.                                                             1
   15     1.7.67      Differentiate using the extended power        rule or the chain rule.                              1
   16     1.7.71      Solve application problems.                                                                        1
   17     1.7.75      Solve application problems.                                                                        1
Section 1.8 Higher-Order Derivatives
    1     1.8.3       Find derivatives of higher order.                                                                  1
    2     1.8.5       Find derivatives of higher order.                                                                  1
    3     1.8.7       Find derivatives of higher order.                                                                  1
    4     1.8.9       Find derivatives of higher order.                                                                  1
    5     1.8.11      Find derivatives of higher order.                                                                  1
    6     1.8.13      Find derivatives of higher order.                                                                  1
    7     1.8.15      Find derivatives of higher order.                                                                  1
    8     1.8.17      Find derivatives of higher order.                                                                  1
    9     1.8.19      Find derivatives of higher order.                                                                  1
   10     1.8.27      Find derivatives of higher order.                                                                  1
   11     1.8.31      Find derivatives of higher order.                                                                  1
   12     1.8.35      Find derivatives of higher order.                                                                  1
   13     1.8.46      Solve application problems.                                                                        1
   14     1.8.49      Solve application problems.                                                                        1
   15     1.8.55      Solve application problems.                                                                        1
Section 2.1 Using 1st Derivatitves to Find Max and Min Values and Sketch Graphs
    1     2.1.3       Find relative extrema of a continuous function            using   the   first-derivative   test.   1
    2     2.1.5       Find relative extrema of a continuous function            using   the   first-derivative   test.   1
    3     2.1.7       Find relative extrema of a continuous function            using   the   first-derivative   test.   1
    4     2.1.11      Find relative extrema of a continuous function            using   the   first-derivative   test.   1
    5     2.1.17      Find relative extrema of a continuous function            using   the   first-derivative   test.   1
    6     2.1.21      Find relative extrema of a continuous function            using   the   first-derivative   test.   1
    7     2.1.25      Find relative extrema of a continuous function            using   the   first-derivative   test.   1
    8     2.1.29      Find relative extrema of a continuous function            using   the   first-derivative   test.   1
    9     2.1.71      Sketch graphs of continuous functions.                                                             1
   10     2.1.75      Sketch graphs of continuous functions.                                                             1
   11     2.1.77     Sketch graphs of continuous functions.                                          1
   12     2.1.81     Solve application problems.                                                     1
Section 2.2 Using 2nd Derivatives to Find Max and Min Values and Sketch Graphs
    1     2.2.1      Classify the relative extrema of a function using the second-derivative test.   1
    2     2.2.5      Classify the relative extrema of a function using the second-derivative test.   1
    3     2.2.15     Sketch the graph of a continuous function.                                      1
    4     2.2.17     Sketch the graph of a continuous function.                                      1
    5     2.2.19     Sketch the graph of a continuous function.                                      1
    6     2.2.23     Sketch the graph of a continuous function.                                      1
    7     2.2.27     Sketch the graph of a continuous function.                                      1
    8     2.2.35     Sketch the graph of a continuous function.                                      1
    9     2.2.41     Sketch the graph of a continuous function.                                      1
   10     2.2.43     Sketch the graph of a continuous function.                                      1
   11     2.2.47     Sketch the graph of a continuous function.                                      1
   12     2.2.51     Sketch the graph of a continuous function.                                      1
   13     2.2.101    Solve application problems.                                                     1
   14     2.2.105    Solve application problems.                                                     1
Ssection 2.3 Graph Sketching: Asymptotes and Rational Functions
    1     2.3.1      Determine the asymptotes of   a   function's   graph.                           1
    2     2.3.5      Determine the asymptotes of   a   function's   graph.                           1
    3     2.3.9      Determine the asymptotes of   a   function's   graph.                           1
    4     2.3.11     Determine the asymptotes of   a   function's   graph.                           1
    5     2.3.13     Determine the asymptotes of   a   function's   graph.                           1
    6     2.3.17     Determine the asymptotes of   a   function's   graph.                           1
    7     2.3.25     Graph rational functions.                                                       1
    8     2.3.29     Graph rational functions.                                                       1
    9     2.3.33     Graph rational functions.                                                       1
   10     2.3.39     Graph rational functions.                                                       1
   11     2.3.45     Graph rational functions.                                                       1
   12     2.3.47     Graph rational functions.                                                       1
   13     2.3.57     Solve application problems.                                                     1
   14     2.3.61     Solve application problems.                                                     1
Section 2.4 Using Derivatives to Find Absolute Max and Min Values
    1     2.4.7      Find absolute extrema.                                                          1
    2     2.4.15     Find absolute extrema.                                                          1
    3     2.4.19     Find absolute extrema.                                                          1
    4     2.4.23     Find absolute extrema.                                                          1
    5     2.4.27     Find absolute extrema.                                                          1
    6     2.4.33     Find absolute extrema.                                                          1
    7     2.4.37     Find absolute extrema.                                                          1
    8     2.4.51     Find absolute extrema.                                                          1
    9     2.4.57     Find absolute extrema.                                                          1
   10     2.4.63     Find absolute extrema.                                                          1
   11     2.4.65     Find absolute extrema.                                                          1
   12     2.4.75     Find absolute extrema.                                                          1
   13     2.4.79     Find absolute extrema.                                                          1
   14     2.4.83     Find absolute extrema.                                                          1
   15     2.4.85     Find absolute extrema.                                                          1
   16     2.4.97     Solve application problems.                                                     1
   17     2.4.103    Solve application problems.                                                     1
   18     2.4.105    Solve application problems.                                                     1
Section 2.5 Max-Min Problems: Business and Economics Applications
     1     2.5.1       Solve   maximum-minimum    problems   using   calculus.   1
     2     2.5.9       Solve   maximum-minimum    problems   using   calculus.   1
     3     2.5.13      Solve   maximum-minimum    problems   using   calculus.   1
     4     2.5.15      Solve   maximum-minimum    problems   using   calculus.   1
     5     2.5.17      Solve   maximum-minimum    problems   using   calculus.   1
     6     2.5.19      Solve   maximum-minimum    problems   using   calculus.   1
     7     2.5.29      Solve   maximum-minimum    problems   using   calculus.   1
     8     2.5.33      Solve   maximum-minimum    problems   using   calculus.   1
     9     2.5.39      Solve   maximum-minimum    problems   using   calculus.   1
    10     2.5.45      Solve   maximum-minimum    problems   using   calculus.   1
    11     2.5.47      Solve   maximum-minimum    problems   using   calculus.   1
Optional Section 2.6   Marginals and Differentials
    1      2.6.1       Find business and economics application   problems.       1
    2      2.6.5       Find business and economics application   problems.       1
    3      2.6.19      Find business and economics application   problems.       1
    4      2.6.25      Find business and economics application   problems.       1
    5      2.6.29      Find delta y and dy.                                      1
    6      2.6.31      Find delta y and dy.                                      1
    7      2.6.37      Use differentials for approximations.                     1
    8      2.6.49      Find delta y and dy.                                      1
Optional Section 2.7   Implicit Differentiation and Related Rates
    1      2.7.7       Differentiate implicitly.                                 1
    2      2.7.11      Differentiate implicitly.                                 1
    3      2.7.17      Differentiate implicitly.                                 1
    4      2.7.23      Differentiate implicitly.                                 1
    5      2.7.25      Differentiate implicitly.                                 1
    6      2.7.33      Solve related-rate problems.                              1
    7      2.7.39      Solve related-rate problems.                              1
    8      2.7.45      Solve related-rate problems.                              1
Section 3.1 Exponential Functions
     1     3.1.1       Graph exponential functions.                              1
     2     3.1.7       Graph exponential functions.                              1
     3     3.1.9       Graph exponential functions.                              1
     4     3.1.13      Differentiate exponential functions.                      1
     5     3.1.17      Differentiate exponential functions.                      1
     6     3.1.19      Differentiate exponential functions.                      1
     7     3.1.23      Differentiate exponential functions.                      1
     8     3.1.25      Differentiate exponential functions.                      1
     9     3.1.29      Differentiate exponential functions.                      1
    10     3.1.31      Differentiate exponential functions.                      1
    11     3.1.33      Differentiate exponential functions.                      1
    12     3.1.35      Differentiate exponential functions.                      1
    13     3.1.39      Differentiate exponential functions.                      1
    14     3.1.43      Differentiate exponential functions.                      1
    15     3.1.45      Differentiate exponential functions.                      1
    16     3.1.47      Differentiate exponential functions.                      1
    17     3.1.55      Graph exponential functions.                              1
    18     3.1.67      Graph exponential functions.                              1
    19     3.1.75      Find the slope or equation of a tangent line.             1
    20     3.1.81      Solve application problems.                               1
    21     3.1.84      Solve application problems.                               1
Section 3.2 Logarithmic Functions
     1     3.2.5      Convert between exponential and logarithmic equations.                     1
     2     3.2.9      Convert between exponential and logarithmic equations.                     1
     3     3.2.11     Convert between exponential and logarithmic equations.                     1
     4     3.2.23     Convert between exponential and logarithmic equations.                     1
     5     3.2.25     Convert between exponential and logarithmic equations.                     1
     6     3.2.31     Convert between exponential and logarithmic equations.                     1
     7     3.2.35     Solve exponential equations.                                               1
     8     3.2.41     Solve exponential equations.                                               1
     9     3.2.45     Differentiate functions involving natural logarithms.                      1
    10     3.2.51     Differentiate functions involving natural logarithms.                      1
    11     3.2.53     Differentiate functions involving natural logarithms.                      1
    12     3.2.55     Differentiate functions involving natural logarithms.                      1
    13     3.2.57     Differentiate functions involving natural logarithms.                      1
    14     3.2.59     Differentiate functions involving natural logarithms.                      1
    15     3.2.61     Differentiate functions involving natural logarithms.                      1
    16     3.2.63     Differentiate functions involving natural logarithms.                      1
    17     3.2.67     Differentiate functions involving natural logarithms.                      1
    18     3.2.77     Solve problems involving exponential and logarithmic functions.            1
    19     3.2.83     Solve problems involving exponential and logarithmic functions.            1
Section 3.3 Applications: Uninhibited and Limited Growth Models
    1      3.3.3      Find functions that satisfy dP/dt = kP.                                    1
                      Solve application problems using exponential   growth and limited growth
    2      3.3.9      models.                                                                    1
                      Solve application problems using exponential   growth and limited growth
    3      3.3.15     models.                                                                    1
                      Solve application problems using exponential   growth and limited growth
    4      3.3.17     models.                                                                    1
                      Solve application problems using exponential   growth and limited growth
    5      3.3.21     models.                                                                    1
                      Solve application problems using exponential   growth and limited growth
    6      3.3.25     models.                                                                    1
                      Solve application problems using exponential   growth and limited growth
    7      3.3.27     models.                                                                    1
                      Solve application problems using exponential   growth and limited growth
    8      3.3.33     models.                                                                    1
                      Solve application problems using exponential   growth and limited growth
    9      3.3.35     models.                                                                    1
                      Solve application problems using exponential   growth and limited growth
    10     3.3.43     models.                                                                    1
                      Solve application problems using exponential   growth and limited growth
    11     3.3.47     models.                                                                    1
Section 3.4 Applications: Decay
    1      3.4.1      Solve decay rate and half-life problems.                                   1
    2      3.4.17     Solve applied problems involving exponential decay.                        1
    3      3.4.21     Solve applied problems involving exponential decay.                        1
    4      3.4.27     Solve applied problems involving exponential decay.                        1
    5      3.4.33     Solve applied problems involving exponential decay.                        1
    6      3.4.37     Solve applied problems involving exponential decay.                        1
    7      3.4.41     Determine the type of model describes the scatterplot.                     1
    8      3.4.43     Determine the type of model describes the scatterplot.                     1
    9      3.4.45     Determine the type of model describes the scatterplot.                     1
Optional: Section 3.5 The Derivatives of a^x and log x (base a)
    1      3.5.1      Differentiate functions involving a^x.                                     1
    2      3.5.5      Differentiate functions involving a^x.                                     1
    3      3.5.7      Differentiate functions involving a^x.                                     1
    4      3.5.9       Differentiate functions involving a^x.                                            1
    5      3.5.13      Differentiate functions involving log x (base a).                                 1
    6      3.5.39      Solve application problems.                                                       1
    7      3.5.43      Solve application problems.                                                       1
Section 4.1 The Area Under a Graph
    1      4.1.1       Use the area under a graph to find total cost.                                    1
    2      4.1.9       Use the area under a graph to find total cost.                                    1
    3      4.1.13      Express a sum with or without summation notation.                                 1
    4      4.1.19      Express a sum with or without summation notation.                                 1
    5      4.1.23      Use rectangles to approximate the area under a graph.                             1
    6      4.1.25      Use rectangles to approximate the area under a graph.                             1
    7      4.1.27      Use rectangles to approximate the area under a graph.                             1
Section 4.2 Area, Antiderivataives, and Integrals
     1     4.2.1       Evaluate indefinite integrals using the basic integration formulas.               1
     2     4.2.5       Evaluate indefinite integrals using the basic integration formulas.               1
     3     4.2.11      Evaluate indefinite integrals using the basic integration formulas.               1
     4     4.2.13      Evaluate indefinite integrals using the basic integration formulas.               1
     5     4.2.19      Evaluate indefinite integrals using the basic integration formulas.               1
     6     4.2.23      Evaluate indefinite integrals using the basic integration formulas.               1
     7     4.2.27      Evaluate indefinite integrals using the basic integration formulas.               1
     8     4.2.35      Evaluate indefinite integrals using the basic integration formulas.               1
     9     4.2.39      Evaluate indefinite integrals using the basic integration formulas.               1
    10     4.2.47      Use initial conditions, or boundary conditions, to determine an antiderivative.   1
    11     4.2.51      Use initial conditions, or boundary conditions, to determine an antiderivative.   1
    12     4.2.57      Use initial conditions, or boundary conditions, to determine an antiderivative.   1
    13     4.2.59      Solve application problems.                                                       1
    14     4.2.65      Solve application problems.                                                       1
    15     4.2.69      Solve application problems.                                                       1
Section 4.3 Area and Definite Integrals
     1     4.3.1       Find the area under a curve over   a   given   closed   interval.                 1
     2     4.3.3       Find the area under a curve over   a   given   closed   interval.                 1
     3     4.3.13      Find the area under a curve over   a   given   closed   interval.                 1
     4     4.3.25      Find the area under a curve over   a   given   closed   interval.                 1
     5     4.3.27      Find the area under a curve over   a   given   closed   interval.                 1
     6     4.3.35      Evaluate a definite integral.                                                     1
     7     4.3.43      Evaluate a definite integral.                                                     1
     8     4.3.51      Evaluate a definite integral.                                                     1
     9     4.3.53      Evaluate a definite integral.                                                     1
    10     4.3.57      Evaluate a definite integral.                                                     1
    11     4.3.65      Solve applied problems involving   definite integrals.                            1
    12     4.3.77      Solve applied problems involving   definite integrals.                            1
    13     4.3.87      Solve applied problems involving   definite integrals.                            1
Section 4.4 Properties of Definite Integrals
    1      4.4.1       Use properties of definite integrals to find the area between       curves.       1
    2      4.4.11      Use properties of definite integrals to find the area between       curves.       1
    3      4.4.13      Use properties of definite integrals to find the area between       curves.       1
    4      4.4.15      Use properties of definite integrals to find the area between       curves.       1
    5      4.4.17      Use properties of definite integrals to find the area between       curves.       1
    6      4.4.23      Use properties of definite integrals to find the area between       curves.       1
    7      4.4.29      Use properties of definite integrals to find the area between       curves.       1
    8      4.4.31      Use properties of definite integrals to find the area between       curves.       1
    9      4.4.39      Solve applied problems involving definite integrals.                              1
    10     4.4.41      Solve applied problems involving definite integrals.                                                 1
    11     4.4.45      Determine the average value of a function.                                                           1
    12     4.4.47      Determine the average value of a function.                                                           1
    13     4.4.57      Determine the average value of a function.                                                           1
Section 4.5 Integration Techniques: Substitution
     1     4.5.1       Evaluate integrals using substitution.                                                               1
     2     4.5.7       Evaluate integrals using substitution.                                                               1
     3     4.5.9       Evaluate integrals using substitution.                                                               1
     4     4.5.11      Evaluate integrals using substitution.                                                               1
     5     4.5.15      Evaluate integrals using substitution.                                                               1
     6     4.5.17      Evaluate integrals using substitution.                                                               1
     7     4.5.19      Evaluate integrals using substitution.                                                               1
     8     4.5.27      Evaluate integrals using substitution.                                                               1
     9     4.5.29      Evaluate integrals using substitution.                                                               1
    10     4.5.33      Evaluate integrals using substitution.                                                               1
    11     4.5.35      Evaluate integrals using substitution.                                                               1
    12     4.5.43      Evaluate integrals using substitution.                                                               1
    13     4.5.49      Evaluate integrals using substitution.                                                               1
    14     4.5.51      Evaluate integrals using substitution.                                                               1
    15     4.5.59      Evaluate integrals using substitution.                                                               1
    16     4.5.65      Solve applied problems involving integration by substitution.                                        1
Section 5.1 An Economics Application: Consumer Surplus and Producer Surplus
    1      5.1.3       Find   the   consumer     surplus    and      producer   surplus   at   the   equilibrium   point.   1
    2      5.1.7       Find   the   consumer     surplus    and      producer   surplus   at   the   equilibrium   point.   1
    3      5.1.9       Find   the   consumer     surplus    and      producer   surplus   at   the   equilibrium   point.   1
    4      5.1.11      Find   the   consumer     surplus    and      producer   surplus   at   the   equilibrium   point.   1
Section 6.1 Functions of Several Variables
    1      6.1.1       Find a function value for a function of several variables.                                           1
    2      6.1.5       Find a function value for a function of several variables.                                           1
                       Solve applied problems involving function values for a function of several
    3      6.1.9       variables.                                                                                           1
                       Solve applied problems involving function values for a function of several
    4      6.1.13      variables.                                                                                           1
Section 6.2 Partial Derivatives
    1      6.2.3       Find   the   partial   derivatives   of   a   given   function.                                      1
    2      6.2.11      Find   the   partial   derivatives   of   a   given   function.                                      1
    3      6.2.13      Find   the   partial   derivatives   of   a   given   function.                                      1
    4      6.2.17      Find   the   partial   derivatives   of   a   given   function.                                      1
    5      6.2.19      Find   the   partial   derivatives   of   a   given   function.                                      1
    6      6.2.23      Find   the   partial   derivatives   of   a   given   function.                                      1

    7      6.2.31      Find the four second-order partial derivatives of a function in two variables.                       1

    8      6.2.33      Find the four second-order partial derivatives of a function in two variables.                       1

    9      6.2.39      Find the four second-order partial derivatives of a function in two variables.                       1
                       Solve applied problems involving partial derivatives of a function in two
    10     6.2.43      variables.                                                                                           1
                       Solve applied problems involving partial derivatives of a function in two
    11     6.2.45      variables.                                                                                           1
                       Solve applied problems involving partial derivatives of a function in two
    12     6.2.51      variables.                                                                                           1
Section 6.3 Maximum-Minimum Problems
    1      6.3.1       Find relative extrema of a function of two variables.                                                1
2   6.3.5    Find relative extrema of a function of two variables.                    1
3   6.3.9    Find relative extrema of a function of two variables.                    1
4   6.3.11   Find relative extrema of a function of two variables.                    1
             Solve applied problems involving relative extrema of a function of two
5   6.3.17   variables.                                                               1

				
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