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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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posted: | 10/12/2011 |

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