Solutions for Calculus and Its Applications, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
Problem 1E:
Find dydx. y=x8Problem 2E:
Find dydx. y=x7Problem 3E:
Find.
3.
Problem 4E:
Find.
4.
Problem 5E:
Find.
5.
Problem 6E:
Find.
6.
Problem 7E:
Find.
7.
Problem 8E:
Find.
8.
Problem 9E:
Find.
9.
Problem 10E:
Find dydx. y=x6Problem 11E:
Find dydx. y=3x5Problem 12E:
Find.
12.
Problem 13E:
Find.
13.
Problem 14E:
Find dydx. y=x3+3x2Problem 15E:
Find.
15.
Problem 16E:
Find.
16.
Problem 17E:
Find.
17.
Problem 18E:
Find.
18.
Problem 19E:
Find.
19.
Problem 20E:
Find.
20.
Problem 21E:
Find.
21.
Problem 22E:
Find.
22.
Problem 23E:
Find dydx. y=3x4 y=4x5Problem 24E:
Find.
24.
Problem 25E:
Find each derivative.
25.
Problem 26E:
Find each derivative. ddx(x3+4x)Problem 27E:
Find each derivative.
27.
Problem 28E:
Find each derivative. ddx(x34)Problem 29E:
Find each derivative. ddx(5x27x+3)Problem 30E:
Find each derivative.
30.
Problem 31E:
Find
31.
Problem 32E:
Find f(x). f(x)=0.6x1.5Problem 33E:
Find
33.
Problem 34E:
Find f(x). f(x)=2x3Problem 35E:
Find
35.
Problem 36E:
Find f(x). f(x)=47x3Problem 37E:
Find
37.
Problem 38E:
Find f(x). f(x)=5xx2/3Problem 39E:
Find f(x). f(x)=7x14Problem 40E:
Find
40.
Problem 41E:
Find f(x). f(x)=x3/23Problem 42E:
Find
42.
Problem 43E:
Find f(x). f(x)=0.01x2+0.4x+500.02x+0.4Problem 44E:
Find f(x). f(x)=0.01x20.5x+700.02x0.5Problem 45E:
Find y y=x3/43x2/3+x5/4+2x434x7/42x1/3+54x1/48x5Problem 46E:
Find
46.
Problem 47E:
Find y y=x7+7xProblem 48E:
Find
48.
Problem 49E:
Find y If f(x)=x,findf(4).Problem 50E:
Find
50. If.
Problem 51E:
Find y If y=x+2x3,finddydx|x=1Problem 52E:
Find
52. If
Problem 53E:
Find
53. If
Problem 54E:
Find
54. If
Problem 55E:
Find
55. If
Problem 56E:
Find
56. If
Problem 58E:
Find an equation (in y=mx+b form) of the tangent line to the graph of f(x)=x32x+1 a. at (2,5) b. at...Problem 60E:
Find an equation of the tangent line to the graph of f(x)=1x2 a. at (1,1) b. at (3,19) c. at (2,14)Problem 61E:
For each function, find the point on the graph at which the tangent line is horizontal. If none...Problem 62E:
For each function, find the point on the graph at which the tangent line is horizontal. If none...Problem 63E:
For each function, find the point on the graph at which the tangent line is horizontal. If none...Problem 64E:
For each function, find the point on the graph at which the tangent line is horizontal. If none...Problem 65E:
For each function, find the point on the graph at which the tangent line is horizontal. If none...Problem 66E:
For each function, find the point on the graph at which the tangent line is horizontal. If none...Problem 67E:
For each function, find the point on the graph at which the tangent line is horizontal. If none...Problem 68E:
For each function, find the point on the graph at which the tangent line is horizontal. If none...Problem 69E:
For each function, find the point on the graph at which the tangent line is horizontal. If none...Problem 70E:
For each function, find the point on the graph at which the tangent line is horizontal. If none...Problem 71E:
For each function, find the point on the graph at which the tangent line is horizontal. If none...Problem 72E:
For each function, find the point on the graph at which the tangent line is horizontal. If none...Problem 73E:
For each function, find the point on the graph at which the tangent line is horizontal. If none...Problem 74E:
For each function, find the point on the graph at which the tangent line is horizontal. If none...Problem 75E:
For each function, find the point on the graph at which the tangent line is horizontal. If none...Problem 76E:
For each function, find the point on the graph at which the tangent line is horizontal. If none...Problem 77E:
For each function, find the point on the graph at which the tangent line is horizontal. If none...Problem 78E:
For each function, find the point on the graph at which the tangent line is horizontal. If none...Problem 79E:
For each the function, find the point on the graph at which the tangent line has slope 1.
79.
Problem 80E:
For each the function, find the point on the graph at which the tangent line has slope 1.
80.
Problem 81E:
For each the function, find the point on the graph at which the tangent line has slope 1....Problem 82E:
For each the function, find the point on the graph at which the tangent line has slope 1....Problem 83E:
For each the function, find the point on the graph at which the tangent line has slope 1.
83.
Problem 84E:
For each the function, find the point on the graph at which the tangent line has slope 1....Problem 85E:
85. Heading wound. The circumference C, in centimeters, of a heading wound is approximated by...Problem 86E:
86. Heading wound. The circular area A, in square centimeters, of a heading wound is approximated by...Problem 87E:
87. Growth of a baby. The median weight of a boy whose age is between 0 and 36 month is approximated...Problem 89E:
89. Heart rate. The equation
can be used to determine the heart rate, R, of a person whose heart...Problem 91E:
Population growth rate. In t year, the population of Kingsville grows from 100,000 to a size P given...Problem 92E:
Median age of women at first marriage. The median age of women at first marriage is approximated by...Problem 94E:
Super Bowl ticket prices. The of a ticket to the Super Bowl t years after 1967 can be estimated by...Problem 96E:
For Exercises 95 and 96, find the interval(s) for which f(x) is positive, f(x)=13x3x23x+5Problem 102E:
Use the derivative to help explain why f(x)=x3+ax increases for all x in (,) when a0 but not when...Problem 103E:
Find Each function can be different using the rules developed in this section, but some algebra may...Problem 105E:
Find dy/dx Each function can be different using the rules developed in this section, but some...Problem 106E:
Find dy/dx Each function can be different using the rules developed in this section, but some...Problem 107E:
Find Each function can be different using the rules developed in this section, but some algebra may...Problem 108E:
Find Each function can be different using the rules developed in this section, but some algebra may...Problem 109E:
Find Each function can be different using the rules developed in this section, but some algebra may...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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