# MA160 Rosetta Stone F07

Document Sample

```					          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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