Calculus: Single And Multivariable, 7e ...7th EditionDeborah Hughes-Hallett Publisher: Wiley (wileyplus Products) (edition 7)ISBN: 9781119343998
Calculus: Single And Multivariable, 7e ...
Solutions for Calculus: Single And Multivariable, 7e Wileyplus Registration Card + Loose-leaf Print Companion
Problem 1E:
If f(x)=x2(x3+5), find f(x) two ways: by using the product rule and by multiplying out before taking...Problem 2E:
If f(x)=2x3x, find f(x) two ways: by using the product rule and by using the fact that 2x3x = 6x. Do...Problem 3E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 4E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 5E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 6E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 7E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 8E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 9E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 10E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 11E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 12E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 13E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 14E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 15E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 16E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 17E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 18E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 19E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 20E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 21E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 22E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 23E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 24E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 25E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 26E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 27E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 28E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 29E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 30E:
For Exercises 330, find the derivative. It may be to your advantage to simplify first. Assume that...Problem 31E:
In Problems 3133, use Figure 3.14 and the product or quotient rule to estimate the derivative, or...Problem 32E:
In Problems 3133, use Figure 3.14 and the product or quotient rule to estimate the derivative, or...Problem 33E:
In Problems 3133, use Figure 3.14 and the product or quotient rule to estimate the derivative, or...Problem 34E:
For Problems 3439, let h(x)=f(x)g(x), and k(x)=f(x)/g(x), and l(x)=g(x)/f(x). Use Figure 3.15 to...Problem 35E:
For Problems 3439, let h(x)=f(x)g(x), and k(x)=f(x)/g(x), and l(x)=g(x)/f(x). Use Figure 3.15 to...Problem 36E:
For Problems 3439, let h(x)=f(x)g(x), and k(x)=f(x)/g(x), and l(x)=g(x)/f(x). Use Figure 3.15 to...Problem 37E:
For Problems 3439, let h(x)=f(x)g(x), and k(x)=f(x)/g(x), and l(x)=g(x)/f(x). Use Figure 3.15 to...Problem 38E:
For Problems 3439, let h(x)=f(x)g(x), and k(x)=f(x)/g(x), and l(x)=g(x)/f(x). Use Figure 3.15 to...Problem 39E:
For Problems 3439, let h(x)=f(x)g(x), and k(x)=f(x)/g(x), and l(x)=g(x)/f(x). Use Figure 3.15 to...Problem 40E:
Differentiate f(t)=et by writing it as f(t)=1et.Problem 41E:
Differentiate f(x)=e2x by writing it as f(x)=exex.Problem 42E:
Differentiate f(x)=e3x by writing it as f(x)=exe2x and using the result of Problem 41. 41....Problem 43E:
For what intervals is f(x)=xex concave up?Problem 44E:
For what intervals is g(x)=1x2+1 concave down?Problem 45E:
Find the equation of the tangent line to the graph of f(x)=5xex at the point at which x = 0.Problem 46E:
Find the equation of the tangent line to the graph of f(x)=x3ex at the point at which x = 2.Problem 47E:
Find the equation of the tangent line to the graph of f(x)=2x5x+1 at the point at which x = 0.Problem 48E:
In Problems 4851, the functions f(x), g(x), and h(x) are differentiable for all values of x. Find...Problem 49E:
In Problems 4851, the functions f(x), g(x), and h(x) are differentiable for all values of x. Find...Problem 50E:
In Problems 4851, the functions f(x), g(x), and h(x) are differentiable for all values of x. Find...Problem 51E:
In Problems 4851, the functions f(x), g(x), and h(x) are differentiable for all values of x. Find...Problem 52E:
The differentiable functions f and g have the values in the table. For each of the following...Problem 53E:
If H (3) = 1, H (3) = 3, F(3) = 5, F (3) = 4, find: (a) G(3) if G(z)=F(z)H(z) (b) G(3) if...Problem 54E:
Find the slope of the line tangent to h(x)=f(x)g(x) at x = 3, given that the line tangent to the...Problem 56E:
The density of veins on leaves tells us about a regions past climate. Scientists measure vein...Problem 57E:
The quantity, q, of a skateboard sold depends on the selling price, p, in dollars, so we write q =...Problem 58E:
A museum has decided to sell one of its paintings and to invest the proceeds. If the picture is sold...Problem 59E:
Let f() be the gas consumption (in liters/km) of a car going at velocity v (in km/hr). In other...Problem 60E:
The manager of a political campaign uses two functions to predict fund-raising: N(t) gives the...Problem 61E:
A mutual fund holds N(t) million shares of a company with total value A(t) million dollars, where t...Problem 62E:
A patients total cholesterol level, T (t), and good cholesterol level, G(t), at t weeks after...Problem 63E:
For Problems 6366, use the graphs of h(x) and g(x) to find f(0) where f(x) = g(x)h(x). If this is...Problem 64E:
For Problems 6366, use the graphs of h(x) and g(x) to find f(0) where f(x) = g(x)h(x). If this is...Problem 65E:
For Problems 6366, use the graphs of h(x) and g(x) to find f(0) where f(x) = g(x)h(x). If this is...Problem 66E:
For Problems 6366, use the graphs of h(x) and g(x) to find f(0) where f(x) = g(x)h(x). If this is...Problem 67E:
In Problems 6769, explain what is wrong with the statement. The derivative of f(x)=x2ex is...Problem 68E:
In Problems 6769, explain what is wrong with the statement. Differentiating f(x)=x/(x+1) by the...Problem 69E:
In Problems 6769, explain what is wrong with the statement. The quotient f(x)=(x+1)/ex cannot be...Problem 70E:
In Problems 7071, give an example of: A function involving a sine and an exponential that can be...Problem 71E:
In Problems 7071, give an example of: A function f(x) that can be differentiated both using the...Problem 72E:
Are the statements in Problems 7274 true or false? Give an explanation for your answer. Let f and g...Problem 73E:
Are the statements in Problems 7274 true or false? Give an explanation for your answer. If the...Problem 74E:
Are the statements in Problems 7274 true or false? Give an explanation for your answer. Suppose that...Problem 75E:
Which of the following would be a counterexample to the product rule? (a) Two differentiable...Problem 76E:
In Problems 7679, let f(x) = g(x)h(x), with g (2) = 0.5 and h (2) = 0.7. Either explain why the...Problem 77E:
In Problems 7679, let f(x) = g(x)h(x), with g(2) = 0.5 and h(2) = 0.7. Either explain why the given...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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Calculus: Single and Multivariable
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