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 7E:
Show that ex 1 x near x = 0.Problem 8E:
Local linearization gives values too small for the function x2 and too large for the function x....Problem 9E:
Using a graph like Figure 3.37, estimate to one decimal place the magnitude of the error in...Problem 10E:
For x near 0, local linearization gives ex 1 + x. Using a graph, decide if the approximation is an...Problem 11E:
(a) Find the best linear approximation, L(x), to f(x) = ex near x = 0. (b) What is the sign of the...Problem 12E:
(a) Find the tangent line approximation to cos x at x = 4. (b) Use a graph to explain how you know...Problem 13E:
Suppose f(x) has f(50) = 99.5 and f50) = 0.2. (a) Find a linear function that approximates f(x) for...Problem 14E:
The graphs in Figure 3.39 have the same window and the same scale. Use local linearization at x = 0...Problem 15E:
(a) Graph f(x) = x3 3x2 + 3x + 1. (b) Find and add to your sketch the local linearization to f(x)...Problem 16E:
(a) Show that 1+kx is the local linearization of (1+x)k near x = 0. (b) Someone claims that the...Problem 17E:
Figure 3.40 shows f(x) and its local linearization at x = a. What is the value of a? Of f(a)? Is the...Problem 18E:
In Problems 1819, the equation has a solution near x = 0. By replacing the left side of the equation...Problem 19E:
In Problems 1819, the equation has a solution near x = 0. By replacing the left side of the equation...Problem 20E:
(a) Given that f(7) = 13 and f(7) = 0.38, estimate f(7.1). (b) Suppose also f(x) 0 for all x. Does...Problem 21E:
A function g has g(3) = 7 and g(3.001) g(3) = 0.0025. (a) Estimate g(3). (b) Using the estimate...Problem 22E:
(a) Explain why the following equation has a solution near 0: et = 0.02t + 1.098. (b) Replace et by...Problem 23E:
The speed of sound in dry air is f(T)=331.31+T273.15 meters/second where T is the temperature in...Problem 24E:
Live phytoplankton of diameter x micrometers sink in the ocean at a rate of u = 0.021x1.177 meters...Problem 25E:
The generation time for an organism is the time from its birth until it begins to reproduce. For...Problem 26E:
Air pressure at sea level is 30 inches of mercury. At an altitude of feet above sea level, the air...Problem 27E:
On October 7, 2010, the Wall Street Journal22 reported that Android cell phone users had increased...Problem 28E:
Table 3.9 shows the water stored S(t), in acre-feet,23 of Lake Sonoma, a reservoir in Northern...Problem 29E:
Small water bugs swim in groups as protection against attacks from fish. In one observational study,...Problem 30E:
If C (in units of 104 molar) is the concentration of glucose in a solution, then E. coli bacterium...Problem 31E:
Writing g for the acceleration due to gravity, the period, T, of a pendulum of length l is given by...Problem 32E:
Suppose now the length of the pendulum in Problem 31 remains constant, but that the acceleration due...Problem 33E:
Suppose f has a continuous positive second derivative for all x. Which is larger, f(1+x) or...Problem 34E:
Suppose f(x) is a differentiable decreasing function for all x. In each of the following pairs,...Problem 35E:
Problems 3537 investigate the motion of a projectile shot from a cannon. The fixed parameters are...Problem 36E:
Problems 3537 investigate the motion of a projectile shot from a cannon. The fixed parameters are...Problem 37E:
Problems 3537 investigate the motion of a projectile shot from a cannon. The fixed parameters are...Problem 38E:
In Problems 3840, find the local linearization of f(x) near 0 and use this to approximate the value...Problem 39E:
In Problems 3840, find the local linearization of f(x) near 0 and use this to approximate the value...Problem 40E:
In Problems 3840, find the local linearization of f(x) near 0 and use this to approximate the value...Problem 41E:
In Problems 4145, find a formula for the error E(x) in the tangent line approximation to the...Problem 42E:
In Problems 4145, find a formula for the error E(x) in the tangent line approximation to the...Problem 43E:
In Problems 4145, find a formula for the error E(x) in the tangent line approximation to the...Problem 44E:
In Problems 4145, find a formula for the error E(x) in the tangent line approximation to the...Problem 45E:
In Problems 4145, find a formula for the error E(x) in the tangent line approximation to the...Problem 46E:
Multiply the local linearization of ex near x = 0 by itself to obtain an approximation for e2x....Problem 47E:
(a) Show that 1 x is the local linearization of 11+x near x = 0. (b) From your answer to part (a),...Problem 48E:
From the local linearizations of ex and sin x near x = 0, write down the local linearization of the...Problem 49E:
Use local linearization to derive the product rule, [f(x)g(x)] = f(x)g(x) + f(x)g(x). [Hint: Use the...Problem 50E:
Derive the chain rule using local linearization. [Hint: In other words, differentiate f(g(x)), using...Problem 51E:
Consider a function f and a point a. Suppose there is a number L such that the linear function g...Problem 52E:
Consider the graph of f(x) = x2 near x = 1. Find an interval around x = 1 with the property that...Problem 53E:
In Problems 5354, explain what is wrong with the statement. To approximate f(x) = ex, we can always...Problem 54E:
In Problems 5354, explain what is wrong with the statement. The linear approximation for F(x) = x3...Problem 55E:
In Problems 5557, give an example of: Two different functions that have the same linear...Problem 56E:
In Problems 5557, give an example of: A non-polynomial function that has the tangent line...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.
Sample Solutions for this Textbook
We offer sample solutions for Calculus: Single And Multivariable, 7e Wileyplus Registration Card + Loose-leaf Print Companion homework problems. See examples below:
More Editions of This Book
Corresponding editions of this textbook are also available below:
Calculus: Single and Multivariable
6th Edition
ISBN: 9780470888612
CALCULUS-NEXT GEN WILEYPLUS ACCESS CARD
8th Edition
ISBN: 9781119783770
CALCULUS:SINGLE+MULTIVARIABLE (LOOSE)
8th Edition
ISBN: 9781119696551
CALCULUS:SINGLE&MULTI. (LL) W/WILEY PLUS
8th Edition
ISBN: 9781119783923
Calculus, Binder Ready Version: Single and Multivariable (OE)
6th Edition
ISBN: 9781118231142
CALCULUS+WILEY PLUS PACKAGE
8th Edition
ISBN: 9781119783732
CALCULUS SINGLE AND MULTIVARIABLE
13th Edition
ISBN: 9781118859438
Calculus
6th Edition
ISBN: 9781118475713
CALCULUS:SINGLE+MULTIVAR.(LL) >PKG.<
7th Edition
ISBN: 9781119344070
Calculus: Single And Multivariable, 7e Student Solutions Manual
7th Edition
ISBN: 9781119138549
CALCULUS:SINGLE+MULTIVARIABLE-WILEYPLUS
7th Edition
ISBN: 9781119043133
CALC SINGLE & MULTIVAR (LL) W/ACCESS COD
7th Edition
ISBN: 9781119344001
CALCULUS -NEXT GEN WILEY PLUS ACCESS
7th Edition
ISBN: 9781119499657
Calculus: Single and Multivariable
7th Edition
ISBN: 9781119499640
CALCULUS:SINGLE...(LL)-W/WILEYPLUS
7th Edition
ISBN: 9781119776581
Calculus: Single And Multivariable
7th Edition
ISBN: 9781119444190
CALCULUS:SINGLE+MULTIVAR.-ACCESS PKG
7th Edition
ISBN: 9781119661030
CALCULUS:SINGLE VAR.(LL)-W/ACCESS
7th Edition
ISBN: 9781119500049
Calculus: Single and Multivariable
7th Edition
ISBN: 9781119138532
Calculus: Single And Multivariable
4th Edition
ISBN: 9780471472452
CALCULUS:SINGLE+MULTI...-STUD.SOLN.MAN
5th Edition
ISBN: 9780470414149
CALCULUS:SINGLE+MULTIVARIABLE
5th Edition
ISBN: 9780470089149
Related Calculus Textbooks with Solutions
Still sussing out bartleby
Check out a sample textbook solution.
