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Math
CalculusSingle Variable Calculus: Early Transcendentals, Volume I8th Edition

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Chapter 3.6, Problem 20E
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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 54E
Problem 55E
Problem 56E
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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Differentiate the function.

H ( z ) = a 2 − z 2 a 2 + z 2

To determine

To find: The derivative of H(z).

Explanation

Given:

The function H(z)=lna2−z2a2+z2.

Calculation:

The given function can be expressed as follows,

H(z)=ln(a2−z2a2+z2)12=12ln(a2−z2a2+z2)                        (Qlnax=xlna)=12(ln(a2−z2)−ln(a2+z2)) (Qlnab=lna−lnb)

Obtain the derivative y.

H′(z)=ddz(12(ln(a2−z2)−ln(a2+z2)))=12(ddz(ln(a2−z2))−ddz(ln(a2+z2)))=12((1a2−z2

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Chapter 3.6,
Problem 19E
Chapter 3.6,
Problem 21E
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Essentials Of Statistics

Differentiate. J(v)=(v32v)(v4+v2)

Calculus (MindTap Course List)

Growth of Cruise Industry The number of North American cruise ship passengers has been increasing over the last...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Complete the final! two columns in the following frequency distribution table and then find the percentiles and...

Statistics for The Behavioral Sciences (MindTap Course List)

For Problems 15-20, use the specified number of classes to do the following. (a) Find the class width. (b) Make...

Understanding Basic Statistics

Explain how each graph is obtained from the graph of y = f(x). (a) y = f(x) + 8 (b) y = f(x + 8) (c) y = 8f(x) ...

Single Variable Calculus

Let 0 . Then a 100(1 )% CI for when n is large is (xzsn,x+zsn) The choice = /2 yields the usual interval ...

Probability and Statistics for Engineering and the Sciences

Convert the expressions in Exercises 8596 radical form. 34(1x)5/2

Finite Mathematics

In Exercises 17 to 24, let U = {2. 6, 8, 10, 12, 14, 16, 18}, A = {2, 6, 10}, B = {6, 10, 16, 18}, and C = {14,...

Mathematical Excursions (MindTap Course List)

In Problems 19-44, factor completely. 41.

Mathematical Applications for the Management, Life, and Social Sciences

For Problems 96-104, write a numerical statement to represent the problem. Then simplify the numerical expressi...

Intermediate Algebra

Prove that abx2dx=b3a33.

Single Variable Calculus: Early Transcendentals

In Exercises 5 to 14, find the value of x in each proportion. a x38=x+324 b x+16=4x118

Elementary Geometry For College Students, 7e

Use a calculator to find each of the following. Round all answers to four places past the decimal point. sec48....

Trigonometry (MindTap Course List)

Solve the following word problems. Round dollars to the nearest cent and percents to the nearest tenth of a per...

Contemporary Mathematics for Business & Consumers

Let G be as in Exercise 23. Suppose also that ar is a generator of G. Define f on G by f(a)=ar, f(ai)=(ar)i=ari...

Elements Of Modern Algebra

Determine the accuracy of each measurement; that is, give the number of significant digits for each measurement...

Elementary Technical Mathematics

Applying the First Derivative Test In Exercises 23-56, (a) find the critical numbers of f, if any, (b) find the...

Calculus: Early Transcendental Functions (MindTap Course List)

Tangent Lines at the Pole In Exercises 73-80, sketch a graph of the polar equation and find the tangent line(s)...

Calculus of a Single Variable

In Exercise 5-8, plot the straight line with the equation in a the standard viewing window and b the indicated ...

Finite Mathematics for the Managerial, Life, and Social Sciences

In Exercises 27 to 33, give both exact solutions and approximate solutions to two decimal places. Given: In ABC...

Elementary Geometry for College Students

For , which vector, a, b, c, or d, best represents F(1, 1)? a b c d

Study Guide for Stewart's Multivariable Calculus, 8th

Evaluating a Line Integral Using Green's Theorem In Exercises 53-58, use Greens Theorem to evaluate the line in...

Multivariable Calculus

Differentiation of Vector-Valued Functions In Exercises 3-10, find r(t),r(t0), and r'(t0) for the given value o...

Calculus (MindTap Course List)

0 2 −2 does not exist

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Determining Convergence or Divergence In Exercises 29-44, determine the convergence or divergence of the sequen...

Calculus

What is the purpose for determining a set of behavior categories and creating a list of specific behaviors to d...

Research Methods for the Behavioral Sciences (MindTap Course List)

The estimated regression equation = 28 0.05x1, 0.003x2 + 0.00002x3 where y = Number of indictments disposed ...

Introduction To Statistics And Data Analysis

For the rectangular solid for Exercise 2 a. Compute the angle of rotation R. b. Compute the angle of tilt T.

Mathematics For Machine Technology

The manager of an automobile dealership is considering a new bonus plan designed toincrease sales volume. Curre...

Statistics for Business & Economics, Revised (MindTap Course List)

Refer again to the data in exercise 21. a. Develop an estimate of the total number of deaths (in the three stat...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Discovery and writing Explain what the common difference d is in an arithmetic sequence.

College Algebra (MindTap Course List)

What is a ceiling effect, and how can it be a problem?

Research Methods for the Behavioral Sciences (MindTap Course List)

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