Solutions for Calculus and Its Applications, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
Problem 1E:
Find .
1.
Problem 2E:
Find d2y/dx2. y=x5+9Problem 3E:
Find .
3.
Problem 4E:
Find .
4.
Problem 5E:
Find .
5.
Problem 6E:
Find d2y/dx2. y=4x2+3x1Problem 7E:
Find d2y/dx2. y=7x+2Problem 8E:
Find d2y/dx2. y=6x3Problem 9E:
Find .
9.
Problem 10E:
Find .
10.
Problem 11E:
Find .
11.
Problem 12E:
Find d2y/dx2. y=x4Problem 13E:
Find f(x). f(x)=x35xProblem 14E:
Find f(x). f(x)=x4+3xProblem 15E:
Find .
15.
Problem 16E:
Find .
16.
Problem 17E:
Find .
17.
Problem 18E:
Find f(x). f(x)=4x3Problem 19E:
Find .
19.
Problem 20E:
Find f(x). f(x)=(x3+2x)6Problem 21E:
Find .
21.
Problem 22E:
Find f(x). f(x)=(2x23x+1)10Problem 23E:
Find .
23.
Problem 24E:
Find f(x). f(x)=(x21)23Problem 25E:
Find y. y=x3/25xProblem 26E:
Find y. y=x2/3+4xProblem 27E:
Find y. y=(x3x)3/4Problem 28E:
Find y. y=(x4+x)2/3Problem 29E:
Find .
29.
Problem 30E:
Find y. y=2x5/4+x1/2Problem 31E:
Find y. y=2x3+1x2Problem 32E:
Find y. y=3x41xProblem 33E:
Find y. y=(x2+3)(4x1)Problem 34E:
Find y. y=(x2+3)(4x1)Problem 35E:
Find y. y=3x+12x3Problem 36E:
Find y. y=2x+35x1Problem 37E:
For y=x5, find d4y/dx4.Problem 38E:
38. For , find .
Problem 39E:
39. For , find .
Problem 40E:
40. For , find .
Problem 41E:
41. For , find .
Problem 42E:
For f(x)=x2x1/2, find f(4)(x).Problem 43E:
For g(x)=x43x37x26x+9, find g(6)(x).Problem 44E:
44. For , find .
Problem 45E:
Given s(t)=10t2+2t+5, where s(t) is in meters and t is in seconds, find each of the following. a. a)...Problem 46E:
Given s(t)=t3+t where s(t) is in feet and t is in seconds, find each of the following. a. v(t) b....Problem 47E:
47. Given
,
where is in miles and t is in hours, find each of the following.
a.
b.
c. The...Problem 48E:
48. Given
,
where is in meters and t is in seconds, find each of the following.
a.
b.
c. The...Problem 49E:
Free fall. When an object is dropped the distance it falls in t seconds, assuming negligible air...Problem 50E:
50. Free fall. (See Exercises 49.) Suppose a worker drops a bolt from a scoffold high above a work...Problem 51E:
Free fall. Find the velocity and acceleration of the stone in Exercises 3 after it has been falling...Problem 52E:
52. Free fall. Find the velocity and acceleration of the stone in Exercises 3 after it has been...Problem 53E:
53. The following graph describes a bicycle racer’s distance from a roadside television...Problem 54E:
The following graph describes an airplanes distance from its last point of rest. a. Is the planes...Problem 55E:
Sales. The following graph represents the sales, y, of a new video game after t weeks on the market....Problem 56E:
Velocity and acceleration. The following graph describe the distance of Jesses car from home as a...Problem 57E:
57. Sales. A company determine that monthly sales , in thousands of dollars, after t months of...Problem 58E:
Sales. Nadias fashions discovers that the number of items. Sold N(t)=2t33t2+2t. days after launching...Problem 59E:
Population. The function P(t)=2000t4t+75 gives the population of deer in an area after t months. a....Problem 60E:
60. Medicine. A medication is injected into the bloodstream, where it is quickly metabolized. The...Problem 62E:
Find y for each function. y=12x+1Problem 63E:
Find y for each function. y=x+1x1Problem 64E:
Find y for each function. y=xx1Problem 65E:
For y=xk, find d5y/dx5.Problem 69E:
69. Free fall. On Earth, all free-fall distance functions are of the form where t is in seconds and...Problem 70E:
Free fall. On the moon, all free-fall distance functions are of the form s(t)=0.81t2, where t is in...Problem 71E:
71. Hang time. On Earth, an object travels after of free fall. Thus, by symmetry, an athlete would...Problem 72E:
Free fall. Skateboarder Danny way free-fell 28 ft from the fender Stratocaster Guitar atop the Hard...Problem 73E:
An object rolls 1 m in 1 min. Below are four possible graphs showing the objects distance traveled...Problem 74E:
A bicyclists distance from her starting point is given by y=s(t). Suppose the graph of s has a...Problem 78E:
Indeterminate Forms and IHopitals Rule, Let f and g be differentiable over an open interval...Problem 83E:
Indeterminate Forms and IHopitals Rule, Let f and g be differentiable over an open interval...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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