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:
The table shows values of f(x) = x3 near x = 2 (to three decimal places). Use it to estimate f(2).Problem 2E:
By choosing small values for h, estimate the instantaneous rate of change of the function f(x) = x3...Problem 3E:
The income that a company receives from selling an item is called the revenue. Production decisions...Problem 4E:
(a) Make a table of values rounded to two decimal places for the function f(x) = ex for x = 1, 1.5,...Problem 5E:
(a) Make a table of values, rounded to two decimal places, for f(x) = log x (that is, log base 10)...Problem 6E:
If f(x) = x3 + 4x, estimate f(3) using a table with values of x near 3, spaced by 0.001.Problem 7E:
Graph f(x) = sin x, and use the graph to decide whether the derivative of f(x) at x=3 is positive or...Problem 8E:
For the function f(x) = log x, estimate f(1). From the graph of f(x), would you expect your estimate...Problem 10E:
The graph of y = f(x) is shown in Figure 2.21. Which is larger in each of the following pairs? (a)...Problem 11E:
Use Figure 2.22 to decide which is larger in each of the following pairs (a) Average rate of change...Problem 12E:
Figure 2.23 shows the graph of f. Match the derivatives in the table with the points a, b, c, d, e....Problem 13E:
Label points A, B, C, D, E, and F on the graph of y = f(x) in Figure 2.24. (a) Point A is a point on...Problem 14E:
In Exercises 1418, interpret the expression in terms of Arctic Sea ice extent, the area of sea...Problem 15E:
In Exercises 1418, interpret the expression in terms of Arctic Sea ice extent, the area of sea...Problem 16E:
In Exercises 1418, interpret the expression in terms of Arctic Sea ice extent, the area of sea...Problem 17E:
In Exercises 1418, interpret the expression in terms of Arctic Sea ice extent, the area of sea...Problem 18E:
In Exercises 1418, interpret the expression in terms of Arctic Sea ice extent, the area of sea...Problem 20E:
Show how to represent the following on Figure 2.25. (a) f(4) (b) f(4) f(2) (c) f(5)f(2)52 (d) f(3)...Problem 21E:
For each of the following pairs of numbers, use Figure 2.25 to decide which is larger. Explain your...Problem 22E:
With the function f given by Figure 2.25, arrange the following quantities in ascending order: 0,...Problem 23E:
The function in Figure 2.26 has f(4) = 25 and f(4)=1.5. Find the coordinates of the points A, B, C....Problem 24E:
Use Figure 2.27 to fill in the blanks in the following statements about the function g at point B....Problem 25E:
On a copy of Figure 2.28, mark lengths that represent the quantities in parts (a)(d). (Pick any...Problem 26E:
On a copy of Figure 2.29, mark lengths that represent the quantities in parts (a)(d). (Pick any...Problem 27E:
Consider the function shown in Figure 2.30. (a) Write an expression involving f for the slope of the...Problem 28E:
(a) If f is even and f(10)=6, what is f(10)? (b) If f is any even function and f(0) exists, what is...Problem 29E:
If g is an odd function and g(4)=5, what is g(4)?Problem 30E:
(a) Estimate f(0) if f(x) = sin x, with x in degrees. (b) In Example 3 on page 93, we found that the...Problem 31E:
Find the equation of the tangent line to f(x) = x2 + x at x = 3. Sketch the function and this...Problem 32E:
Estimate the instantaneous rate of change of the function f(x) = x ln x at x = 1 and at x = 2. What...Problem 33E:
Estimate the derivative of f(x) = xx at x = 2.Problem 34E:
For y = f(x) = 3x32 x, use your calculator to construct a graph of y = f(x), for 0 x 2. From your...Problem 35E:
Let f(x) = ln(cos x). Use your calculator to approximate the instantaneous rate of change of f at...Problem 36E:
The population, P(t), of China, in billions, can be approximated by4 P(t) = 1.394(1.006)t, where t...Problem 37E:
The US population5 officially reached 300 million on October 17, 2006 and was gaining 1 person each...Problem 38E:
For Problems 3841, estimate the change in y for the given change in x. y = f(x), f(100)=0.4, x...Problem 39E:
For Problems 3841, estimate the change in y for the given change in x. y = f(x), f(12)=30, x...Problem 40E:
For Problems 3841, estimate the change in y for the given change in x. y = g(x), g(250)=0.5, x...Problem 41E:
For Problems 3841, estimate the change in y for the given change in x. y = p(x), p(400)=2, x...Problem 42E:
(a) Graph f(x)=12x2 and g(x) = f(x) + 3 on the same set of axes. What can you say about the slopes...Problem 43E:
Suppose Table 2.3 on page 94 is continued with smaller values of h. A particular calculator gives...Problem 44E:
(a) Let f(x) = x2. Explain what Table 2.5 tells us about f(1). (b) Find f(1) exactly. (c) If x...Problem 49E:
Use algebra to evaluate the limits in Problems 4550. limh04+h2h [Hint: Multiply by 4+h+2 in...Problem 51E:
For Problems 5155, estimate the value of f(1) by substituting small values for h. Then use algebra...Problem 52E:
For Problems 5155, estimate the value of f(1) by substituting small values for h. Then use algebra...Problem 53E:
For Problems 5155, estimate the value of f(1) by substituting small values for h. Then use algebra...Problem 54E:
For Problems 5155, estimate the value of f(1) by substituting small values for h. Then use algebra...Problem 55E:
For Problems 5155, estimate the value of f(1) by substituting small values for h. Then use algebra...Problem 62E:
For Problems 6265, find the equation of the line tangent to the function at the given point. f(x) =...Problem 63E:
For Problems 6265, find the equation of the line tangent to the function at the given point. f(x) =...Problem 64E:
For Problems 6265, find the equation of the line tangent to the function at the given point. f(x) =...Problem 65E:
For Problems 6265, find the equation of the line tangent to the function at the given point. f(x) =...Problem 66E:
In Problems 6667, explain what is wrong with the statement. For the function f(x) = log x we have...Problem 67E:
In Problems 6667, explain what is wrong with the statement. The derivative of a function f(x) at x =...Problem 68E:
In Problems 6869, give an example of: A continuous function which is always increasing and positive.Problem 70E:
Are the statements in Problems 7072 true or false? Give an explanation for your answer. You cannot...Problem 71E:
Are the statements in Problems 7072 true or false? Give an explanation for your answer. If you zoom...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, 7e Student Solutions Manual
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