Calculus and Its Applications, Books a ...11th EditionMarvin L. Bittinger, David J. Ellenbogen, Scott J. Surgent Publisher: PEARSONISBN: 9780133862386
Calculus and Its Applications, Books a ...
Solutions for Calculus and Its Applications, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
Problem 1E:
Differentiate two ways; first, by using the Product Rule; then by multiplying the expression before...Problem 2E:
Differentiate two ways; first, by using the Product Rule; then by multiplying the expression before...Problem 3E:
Differentiate two ways; first, by using the Product Rule; then by multiplying the expression before...Problem 4E:
Differentiate two ways; first, by using the Product Rule; then by multiplying the expression before...Problem 5E:
Differentiate two ways; first, by using the Product Rule; then by multiplying the expression before...Problem 6E:
Differentiate two ways; first, by using the Product Rule; then by multiplying the expression before...Problem 7E:
Differentiate two ways; first, by using the Product Rule; then by multiplying the expression before...Problem 8E:
Differentiate two ways; first, by using the Product Rule; then by multiplying the expression before...Problem 9E:
Differentiate two ways; first, by using the Product Rule; then by multiplying the expression before...Problem 10E:
Differentiate two ways; first, by using the Product Rule; then by multiplying the expression before...Problem 11E:
Differentiate two ways; first, by using the Product Rule; then by multiplying the expression before...Problem 12E:
Differentiate two ways; first, by using the Product Rule; then by multiplying the expression before...Problem 13E:
Differentiate two ways; first, by using the Quotient Rule; then, by dividing the expressions before...Problem 14E:
Differentiate two ways; first, by using the Quotient Rule; then, by dividing the expressions before...Problem 15E:
Differentiate two ways; first, by using the Quotient Rule; then, by dividing the expressions before...Problem 16E:
Differentiate two ways; first, by using the Quotient Rule; then, by dividing the expressions before...Problem 17E:
Differentiate two ways; first, by using the Quotient Rule; then, by dividing the expressions before...Problem 18E:
Differentiate two ways; first, by using the Quotient Rule; then, by dividing the expressions before...Problem 19E:
Differentiate two ways; first, by using the Quotient Rule; then, by dividing the expressions before...Problem 20E:
Differentiate two ways; first, by using the Quotient Rule; then, by dividing the expressions before...Problem 21E:
Differentiate each function. g(x)=(5x2+4x3)(2x23x+1)Problem 22E:
Differentiate each function.
22.
Problem 23E:
Differentiate each function. y=5x212x3+3Problem 24E:
Differentiate each function.
24.
Problem 25E:
Differentiate each function.
25.
Problem 26E:
Differentiate each function. G(x)=(8x+x)(5x2+3)Problem 27E:
Differentiate each function.
27.
Problem 28E:
Differentiate each function. f(t)=t5+2t2t4Problem 29E:
Differentiate each function. G(x)=(5x4)2Problem 30E:
Differentiate each function.
30.
[Hint: ]
Problem 31E:
Differentiate each function. y=(x34x)2Problem 32E:
Differentiate each function. y=(3x24x+5)2Problem 33E:
Differentiate each function. f(x)=6x4(6x3+10x28x+3)Problem 34E:
Differentiate each function.
34.
Problem 35E:
Differentiate each function. F(t)=(t+2t)(t23)Problem 36E:
Differentiate each function. G(x)=(3t5t2)(t5t)Problem 37E:
Differentiate each function. y=x31x2+1+4x3Problem 38E:
Differentiate each function. y=x2+1x315x2Problem 39E:
Differentiate each function.
39.
Problem 40E:
Differentiate each function. y=x+4x35Problem 41E:
Differentiate each function. f(x)=x1x+x1Problem 42E:
Differentiate each function. f(x)=xx1+1Problem 43E:
Differentiate each function. F(t)=1t4Problem 44E:
Differentiate each function.
44.
Problem 45E:
Differentiate each function. f(x)=3x25xx21Problem 46E:
Differentiate each function.
46.
Problem 47E:
Differentiate each function. g(x)=t2+3t+5t2+2t+4Problem 48E:
Differentiate each function.
48.
Problem 52E:
Find an equation of the tangent line to the graph of y=4x/(1+x2) at (a) (0,0); (b) (1,2).Problem 53E:
Average cost. Prestons Leatherworks finds that cost, in dollars, of producing x belts is given by...Problem 54E:
54. Average cost. Tongue-Tied Sauces, Inc, finds that the cost, in dollars, of producing x bottles...Problem 55E:
Average revenue. Prestons Leatherworks find that the revenue, in dollars, from the sale of x belts...Problem 56E:
56. Average revenue. Tongue-Tied Sauces, Inc, finds that the revenue, in dollars, from the sale of x...Problem 57E:
Average profit. Use the information in Exercises 53 and 55 to determine the rate at which Prestons...Problem 58E:
Average profit. Use the information in exercises 54 and 56 to determine the rate at which...Problem 59E:
59. Average profit. Sparkle pottery has determined that the cost, in dollars, of producing x vases...Problem 60E:
60. Average profit. Cruzin’ Boards has found that the cost, in dollars of producing x skateboards is...Problem 61E:
Gross domestic produced. The U.S. gross domestic produced (in billions of dollars) can be...Problem 62E:
Population growth. The population P, in thousands, of the town of Coyote Wells is given by...Problem 65E:
Differentiate each function.
65.
Problem 66E:
Differentiate each function.
66.
Problem 67E:
Differentiate each function. g(x)=(x38)x2+1x21Problem 68E:
Differentiate each function. f(t)=(t5+3)t31t3+1Problem 69E:
Differentiate each function. f(x)=(x1)(x2+x+1)x43x35Problem 70E:
Let f(x)=xx+1 and g(x)=1x+1. a. Compute f(x). b. Compute g(x). c. c) What can you conclude about f...Problem 71E:
71. Let and .
a. Compute .
b. Compute .
c. c) What can you conclude about the graphs of f and g...Problem 72E:
Write a rule for finding the derivative of f(x)g(x)h(x). Describe the rule in as few words as...Problem 73E:
Is the derivative of the reciprocal of f(x) the reciprocal of the derivative of f(x)? Why or why...Problem 74E:
Sensitivity. The reaction R of the body to a dose Q of medication is often represented by the...Problem 76E:
76. Business. Refer to Exercises 54, 56, and 58. At what rate is Tongue-Tied Sauces’ profit changing...Problem 77E:
77. Business. Refer to Exercises 53, 55, and 58, At what rate is Preston’s Leatherworks’ profit...Problem 78E:
For the function in each of Exercises 78-83, graph f and f Then estimate points at which the tangent...Problem 79E:
For the function in each of Exercises 78-83, graph f and Then estimate points at which the tangent...Problem 80E:
For the function in each of Exercises 78-83, graph f and f Then estimate points at which the tangent...Problem 81E:
For the function in each of Exercises 78-83, graph f and Then estimate points at which the tangent...Problem 82E:
For the function in each of Exercises 78-83, graph f and Then estimate points at which the tangent...Browse All Chapters of This Textbook
Chapter R - Functions, Graphs, And ModelsChapter R.1 - Graphs And EquationsChapter R.2 - Functions And ModelsChapter R.3 - Finding Domain And RangeChapter R.4 - Slope And Linear FunctionsChapter R.5 - Nonlinear Functions And ModelsChapter R.6 - Mathematical Modeling And Curve FittingChapter 1 - DifferentiationChapter 1.1 - Limits: A Numerical And Graphical ApproachChapter 1.2 - Algebraic Limits And Continuity
Chapter 1.3 - Average Rates Of ChangeChapter 1.4 - Differentiation Using Limits Of Difference QuotientsChapter 1.5 - The Power And Sum–difference RulesChapter 1.6 - The Product And Quotient RulesChapter 1.7 - The Chain RuleChapter 1.8 - Higher-order DerivativesChapter 2 - Applications Of DifferentiationChapter 2.1 - Using First Derivatives To Classify Maximum And Minimum Values And Sketch GraphsChapter 2.2 - Using Second Derivatives To Classify Maximum And Minimum Values And Sketch GraphsChapter 2.3 - Graph Sketching: Asymptotes And Rational FunctionsChapter 2.4 - Using Derivatives To Find Absolute Maximum And Minimum ValuesChapter 2.5 - Maximum–minimum Problems; Business, Economics, And General ApplicationsChapter 2.6 - Marginals And DifferentialsChapter 2.7 - Elasticity Of DemandChapter 2.8 - Implicit Differentiation And Related RatesChapter 3 - Exponential And Logarithmic FunctionsChapter 3.1 - Exponential FunctionsChapter 3.2 - Logarithmic FunctionsChapter 3.3 - Applications: Uninhibited And Limited Growth ModelsChapter 3.4 - Applications: DecayChapter 3.5 - The Derivatives Of Ax And Log A X Logax; Application: AnnuitiesChapter 3.6 - A Business Application: AmortizationChapter 4 - IntegrationChapter 4.1 - AntidifferentiationChapter 4.2 - Antiderivatives As AreasChapter 4.3 - Area And Definite IntegralsChapter 4.4 - Properties Of Definite IntegralsChapter 4.5 - Integration Techniques: SubstitutionChapter 4.6 - Integration Techniques: Integration By PartsChapter 4.7 - Integration Techniques: TablesChapter 5 - Applications Of IntegrationChapter 5.1 - Consumer Surplus And Producer SurplusChapter 5.2 - Integrating Growth And Decay ModelsChapter 5.3 - Improper IntegralsChapter 5.4 - ProbabilityChapter 5.5 - Probability: Expected Value; The Normal DistributionChapter 5.6 - VolumeChapter 5.7 - Differential EquationsChapter 6 - Functions Of Several VariablesChapter 6.1 - Functions Of Several VariablesChapter 6.2 - Partial DerivativesChapter 6.3 - Maximum–minimum ProblemsChapter 6.4 - An Application: The Least-squares TechniqueChapter 6.5 - Constrained OptimizationChapter 6.6 - Double IntegralsChapter CR - Cumulative ReviewChapter A - Review Of Basic AlgebraChapter PSDT - Prerequisite Skills Diagnostic Test
Book Details
Anticipating and meeting student needs Calculus and Its Applications, Eleventh Edition, remains a best-selling text because of its accessible presentation that anticipates student needs. The writing style is ideal for today’s students, providing intuitive explanations that work with the carefully crafted artwork to help them visualize new calculus concepts. Additionally, the text’s numerous and up-to-date applications from business, economics, life sciences, and social sciences help motivate students. Algebra diagnostic and review material is available for those who need to strengthen basic skills. Every aspect of this revision is designed to motivate and help students to more readily understand and apply the mathematics.
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