Solutions for Calculus: Single And Multivariable, 7e Wileyplus Registration Card + Loose-leaf Print Companion
Problem 1E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. f(x)=(x+1)99Problem 2E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. w=(t3+1)100Problem 3E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. g(x)=(4x2+1)7Problem 6E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. w=(t+1)100Problem 7E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. h(w)=(w42w)5Problem 8E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. s(t)=(3t2+4t+1)3Problem 9E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. w(r)=r4+1Problem 10E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. k(x)=(x3+ex)4Problem 11E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. f(x)=e2x(x2+5x)Problem 14E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. B=15e0.20tProblem 15E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. w=100ex2Problem 18E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. g(x)=3(2x+7)Problem 19E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. f(t)=te52tProblem 20E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. p(t)=e4t+2Problem 21E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. v(t)=t2ectProblem 22E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. g(t)=e(1+3t)2Problem 27E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. f(z)=zezProblem 28E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. z(x)=2x+53Problem 30E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. w=(x25x)3Problem 31E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. f(y)=10(5y)Problem 32E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. f(z)=zezProblem 34E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. y=(x2+23)2Problem 35E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. h(x)=x2+9x+3Problem 36E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. y=exexex+exProblem 37E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. y=1e3x+x2Problem 38E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. h(z)=(ba+z2)4Problem 39E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. f(x)=1x3+1Problem 40E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. f(z)=1(ez+1)2Problem 41E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. w=(t2+3t)(1e2t)Problem 42E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. h(x)=2e3xProblem 43E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. f(x)=6e5x+ex2Problem 44E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. f(x)=e(x1)2Problem 45E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. f(w)=(5w2+3)ew2Problem 46E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. f()=(e+e)1Problem 47E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. y=e3t2+5Problem 48E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. z=(te3t+e5t)9Problem 49E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. f(y)=ee(y2)Problem 50E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. f(t)=2e2e2tProblem 51E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. f(x)=(ax2+b)3Problem 52E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. f(t)=aebtProblem 53E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. f(x)=axebxProblem 55E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. y=aebecxProblem 56E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. y=(exex)2Problem 57E:
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. y=(x2+5)3(3x32)2Problem 58E:
In Problems 5861, use Figure 3.16 and the chain rule to estimate the derivative, or state why the...Problem 59E:
In Problems 5861, use Figure 3.16 and the chain rule to estimate the derivative, or state why the...Problem 60E:
In Problems 5861, use Figure 3.16 and the chain rule to estimate the derivative, or state why the...Problem 61E:
In Problems 5861, use Figure 3.16 and the chain rule to estimate the derivative, or state why the...Problem 62E:
In Problems 6265, use Figure 3.17 to evaluate the derivative. Figure 3.17 ddxf(g(x))x=30Problem 63E:
In Problems 6265, use Figure 3.17 to evaluate the derivative. Figure 3.17 ddxf(g(x))x=70Problem 64E:
In Problems 6265, use Figure 3.17 to evaluate the derivative. Figure 3.17 ddxg(f(x))x=30Problem 65E:
In Problems 6265, use Figure 3.17 to evaluate the derivative. Figure 3.17 ddxg(f(x))x=70Problem 70E:
For what intervals is f(x)=xex concave down?Problem 71E:
Suppose f(x)=(2x+1)10(3x1)7. Find a formula for f (x). Decide on a reasonable way to simplify your...Problem 73E:
Given F(2) = 1, F(2) = 5, F(4) = 3, F(4) = 7 and G(4) = 2, G(4) = 6, G(3) = 4, G(3) = 8, find: (a)...Problem 74E:
Given f(x) with f(1) = 2 and f (1) = 5, find (a) g(1) if g(x)=(f(x))3 (b) h(1) if h(x)=f(x3)Problem 75E:
Given f(x) with f(2) = 7 and f (2) = 3 and f (4) = 2 find (a) g(2) if g(x)=(f(x))2 (b) h(2) if...Problem 76E:
A particle is moving on the x-axis, where x is in centimeters. Its velocity, , in cm/sec, when it is...Problem 77E:
A fish population is approximated by P(t)=10e0.6t, where t is in months. Calculate and use units to...Problem 78E:
The worlds population8 is about f(t)=7.17e0.011t billion, where t is time in years since July 2014....Problem 79E:
Fourth-quarter net sales for the Hershey Company9, in billion dollars, in t years from 2012 can be...Problem 80E:
For t in years since 2010, daily oil consumption in China, in thousands of barrels, was approximated...Problem 81E:
The balance in a bank account t years after money is deposited is given by f(t)=5000e0.02t dollars....Problem 82E:
For t 0 in minutes, the temperature, H, of a pot of soup in degrees Celsius is11 H=5+95e0.054t. (a)...Problem 83E:
A yam is put in a hot oven, maintained at a constant temperature 200C. At time t = 30 minutes, the...Problem 84E:
The 2010 census12 determined the population of the US was 308.75 million on April 1, 2010. If the...Problem 85E:
If you invest P dollars in a bank account at an annual interest rate of r%, then after t years you...Problem 86E:
The theory of relativity predicts that an object whose mass is m0 when it is at rest will appear...Problem 87E:
Since the 1950s, the carbon dioxide concentration in the air has been recorded at the Mauna Loa...Problem 88E:
Instruments on a plane measure the distance traveled, x (in km), and the quantity of fuel in the...Problem 89E:
For Problems 8992, if f(x) has a positive slope everywhere, and g(x) has a negative slope...Problem 90E:
For Problems 8992, if f(x) has a positive slope everywhere, and g(x) has a negative slope...Problem 91E:
For Problems 8992, if f(x) has a positive slope everywhere, and g(x) has a negative slope...Problem 92E:
For Problems 8992, if f(x) has a positive slope everywhere, and g(x) has a negative slope...Problem 93E:
In Problems 9395, explain what is wrong with the statement. The derivative of g(x)=(ex+2)5 is...Problem 94E:
In Problems 9395, explain what is wrong with the statement. The derivative of w(x)=ex2 is w(x)=ex2.Problem 95E:
In Problems 9395, explain what is wrong with the statement. If f(x)=h(g(x)) and h(3) = 0, then f (3)...Problem 96E:
In Problems 9697, give an example of: A function involving a sine and an exponential that requires...Problem 97E:
In Problems 9697, give an example of: A function that can be differentiated both using the chain...Problem 98E:
Are the statements in Problems 98101 true or false? If a statement is true, explain how you know. If...Problem 99E:
Are the statements in Problems 98101 true or false? If a statement is true, explain how you know. If...Browse All Chapters of This Textbook
Chapter 1 - Foundation For Calculus: Functions And LimitsChapter 1.1 - Functions And ChangeChapter 1.2 - Exponential FunctionsChapter 1.3 - New Functions From OldChapter 1.4 - Logarithmic FunctionsChapter 1.5 - Trigonometric FunctionsChapter 1.6 - Powers, Polynomials, And Rational FunctionsChapter 1.7 - Introduction To Limits And ContinuityChapter 1.8 - Extending The Idea Of A LimitChapter 1.9 - Further Limit Calculations Using Algebra
Chapter 1.10 - Optional Preview Of The Formal Definition Of A LimitChapter 2 - Key Concept: The DerivativeChapter 2.1 - How Do We Measure Speed?Chapter 2.2 - The Derivative At A PointChapter 2.3 - The Derivative FunctionChapter 2.4 - Interpretations Of The DerivativeChapter 2.5 - The Second DerivativeChapter 2.6 - DifferentiabilityChapter 3 - Short-cuts To DifferentiationChapter 3.1 - Powers And PolynomialsChapter 3.2 - The Exponential FunctionChapter 3.3 - The Product And Quotient RulesChapter 3.4 - The Chain RuleChapter 3.5 - The Trigonometric FunctionsChapter 3.6 - The Chain Rule And Inverse FunctionsChapter 3.7 - Implicit FunctionsChapter 3.8 - Hyperbolic FunctionsChapter 3.9 - Linear Approximation And The DerivativeChapter 3.10 - Theorems About Differentiable FunctionsChapter 4 - Using The DerivativeChapter 4.1 - Using First And Second DerivativesChapter 4.2 - OptimizationChapter 4.3 - Optimization And ModelingChapter 4.4 - Families Of Functions And ModelingChapter 4.5 - Applications To MarginalityChapter 4.6 - Rates And Related RatesChapter 4.7 - L’hopital’s Rule, Growth, And DominanceChapter 4.8 - Parametric EquationsChapter 5.1 - How Do We Measure Distance Traveled?Chapter 8.1 - Areas And VolumesChapter 10.2 - Taylor SeriesChapter 10.3 - Finding And Using Taylor SeriesChapter 13.2 - Vectors In GeneralChapter 14.1 - The Partial DerivativeChapter 14.2 - Computing Partial Derivatives AlgebraicallyChapter 14.3 - Local Linearity And The DifferentialChapter 14.4 - Gradients And Directional Derivatives In The PlaneChapter 18.1 - The Idea Of A Line IntegralChapter 20.1 - The Curl Of A Vector FieldChapter 21 - Parameters, Coordinates, And Integrals
Book Details
Calculus: Single and Multivariable, 7th Edition continues the effort to promote courses in which understanding and computation reinforce each other. The 7th Edition reflects the many voices of users at research universities, four-year colleges, community colleges, and secondary schools. This new edition has been streamlined to create a flexible approach to both theory and modeling. The program includes a variety of problems and examples from the physical, health, and biological sciences, engineering and economics; emphasizing the connection between calculus and other fields.
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