Solutions for EBK CALCULUS+ITS APPLICATIONS
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
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