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Math
CalculusMultivariable Calculus8th Edition

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Chapter 11.10, Problem 49E
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Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643

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Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643
Textbook Problem

Use the Maclaurin series for cos x to compute cos 5° correct to five decimal places.

To determine

To compute: The sum of cos5∘ correct to five decimal places by using the Maclaurin series for cosx .

Explanation

Result used:

The expansion of the Maclaurin series for cosx is ∑n=0∞(−1)nx2n(2n)! (1)

Calculation:

Consider the given function f(θ)=cosθ where θ=5∘ .

Convert 5∘ to radian,

5∘=5∘(π180∘)=π36

That is, θ=π36 .

Substitute π36 for x in equation (1),

cos(π36)=∑n=0∞(−1)n(

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Chapter 11.10,
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(a) Find the intervals of increase or decrease. (b) Find the local maximum and minimum values. (c) Find the int...

Single Variable Calculus: Early Transcendentals

Finding a Value In Exercises 59-62, use the result of Exercise 51 to find A such that RN0.001 for the convergen...

Calculus: Early Transcendental Functions (MindTap Course List)

In Exercises 5762, determine whether the statement is true or not. If it is true, explain why it is true. If it...

Finite Mathematics for the Managerial, Life, and Social Sciences

An integral for the surface area obtained by rotating y = sin x + cos x, , about the x-axis is:

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

The curvature of at t = 0 is:

Study Guide for Stewart's Multivariable Calculus, 8th

Precalculus or Calculus In Exercises 3-6.decide whether the problem can be solved using precalculus or whether ...

Calculus

Given: AEBDEC AEDE Prove: AEBDEC

Elementary Geometry for College Students

Give as much information as you can about the P-value for the model utility F test in each of the following sit...

Introduction To Statistics And Data Analysis

Finding the Domain and Range of a Function In Exercises 21-32, find the domain and range of the function. g(x,y...

Multivariable Calculus

Finding a Taylor Series In Exercises 5-16, use the definition of Taylor series to find the Taylor series, cente...

Calculus (MindTap Course List)

Describe how participant reactivity can be a threat to external validity; that is, how can participant reactivi...

Research Methods for the Behavioral Sciences (MindTap Course List)

Use a calculator to find each value to four decimal places. ln452

College Algebra (MindTap Course List)

It has been demonstrated that students with high self-esteem tend to have higher grades than students with low ...

Research Methods for the Behavioral Sciences (MindTap Course List)

A workpiece or tool with a diameter of 0.750" turns at 350 revolutions per minute. Use C=3.1416DN12 or DN12 to ...

Mathematics For Machine Technology

A national study by Harris Interactive, Inc., evaluated the top technology companies and their reputations. The...

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

Refer to Table 2.12. a. Prepare a crosstabulation of the data on Industry (rows) and Brand Revenue ( billions)....

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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