CALCULUS+ITS APPL.,BRIEF-MYLAB MATH
15th Edition
ISBN: 9780137638826
Author: Goldstein
Publisher: PEARSON
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Chapter 11.3, Problem 16E
Sum an appropriate infinite series to find the rational number whose decimal expansion is given by
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4. Identify at least two mistakes in Francisco's work. Correct the mistakes and
complete the problem by using the second derivative test.
2f
2X
2. Find the relative maximum and relative minimum points of f(x) = 2x3 + 3x² - 3, using the
First Derivative Test or the Second Derivative Test.
bx+ bx
6x +6x=0
12x-
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108
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function and label the local max and local min.
1. Find the equation of the tangent line to the curve
y=x-2x3+x-2 at the point (1.-2).
Sketch the araph of y=x42x3+x-2 and the tangent line at (1,-2)
y' = 4x-6x
y' (1) = 4(1) - 667 - 2
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Chapter 11 Solutions
CALCULUS+ITS APPL.,BRIEF-MYLAB MATH
Ch. 11.1 - Determine the third Taylor polynomial of f(x)=cosx...Ch. 11.1 - Prob. 2CYUCh. 11.1 - Prob. 1ECh. 11.1 - Prob. 2ECh. 11.1 - Prob. 3ECh. 11.1 - Prob. 4ECh. 11.1 - Prob. 5ECh. 11.1 - Prob. 6ECh. 11.1 - Prob. 7ECh. 11.1 - Prob. 8E
Ch. 11.1 - Prob. 9ECh. 11.1 - Prob. 10ECh. 11.1 - Prob. 11ECh. 11.1 - Prob. 12ECh. 11.1 - Prob. 13ECh. 11.1 - Prob. 14ECh. 11.1 - Prob. 15ECh. 11.1 - Prob. 16ECh. 11.1 - Prob. 17ECh. 11.1 - Prob. 18ECh. 11.1 - Determine the third and fourthTaylor polynomial...Ch. 11.1 - Prob. 20ECh. 11.1 - Prob. 21ECh. 11.1 - Prob. 22ECh. 11.1 - Prob. 23ECh. 11.1 - Prob. 24ECh. 11.1 - Prob. 25ECh. 11.1 - Prob. 26ECh. 11.1 - Prob. 27ECh. 11.1 - Prob. 28ECh. 11.1 - Prob. 29ECh. 11.1 - Prob. 30ECh. 11.1 - Graph the function Y1=11x and its fourth Taylor...Ch. 11.1 - Prob. 32ECh. 11.1 - Prob. 33ECh. 11.1 - Prob. 34ECh. 11.2 - Prob. 1CYUCh. 11.2 - Prob. 2CYUCh. 11.2 - In Exercises 18, use three repetitions of the...Ch. 11.2 - In Exercises 18, use three repetitions of the...Ch. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 11.2 - In Exercises 18, use three repetitions of the...Ch. 11.2 - Prob. 6ECh. 11.2 - Prob. 7ECh. 11.2 - Prob. 8ECh. 11.2 - Sketch the graph of y=x3+2x+2, and use the...Ch. 11.2 - Prob. 10ECh. 11.2 - Prob. 11ECh. 11.2 - Prob. 12ECh. 11.2 - Prob. 13ECh. 11.2 - Internet Rate of Return An investor buys a bond...Ch. 11.2 - Prob. 15ECh. 11.2 - Prob. 16ECh. 11.2 - Prob. 17ECh. 11.2 - Prob. 18ECh. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - Figure 9contains the graph of the function...Ch. 11.2 - Prob. 23ECh. 11.2 - Prob. 24ECh. 11.2 - Exercises 25 and 26 present two examples in which...Ch. 11.2 - Prob. 26ECh. 11.2 - Prob. 27ECh. 11.2 - Prob. 28ECh. 11.2 - Prob. 29ECh. 11.2 - Prob. 30ECh. 11.3 - Determine the sum of the geometric series...Ch. 11.3 - Prob. 2CYUCh. 11.3 - Determine the sums of the following geometric...Ch. 11.3 - Prob. 2ECh. 11.3 - Prob. 3ECh. 11.3 - Determine the sums of the following geometric...Ch. 11.3 - Prob. 5ECh. 11.3 - Determine the sums of the following geometric...Ch. 11.3 - Prob. 7ECh. 11.3 - Prob. 8ECh. 11.3 - Prob. 9ECh. 11.3 - Prob. 10ECh. 11.3 - Prob. 11ECh. 11.3 - Prob. 12ECh. 11.3 - Prob. 13ECh. 11.3 - Prob. 14ECh. 11.3 - Prob. 15ECh. 11.3 - Sum an appropriate infinite series to find the...Ch. 11.3 - Prob. 17ECh. 11.3 - Sum an appropriate infinite series to find the...Ch. 11.3 - Prob. 19ECh. 11.3 - Prob. 20ECh. 11.3 - Prob. 21ECh. 11.3 - Prob. 22ECh. 11.3 - Prob. 23ECh. 11.3 - The Multiplier Effect Compute the effect of a 20...Ch. 11.3 - Perpetuity Consider a perpetuity that promises to...Ch. 11.3 - Prob. 26ECh. 11.3 - Bonus plus Taxes on Taxes A generous corporation...Ch. 11.3 - Total Distance Travelled by a Bouncing Ball The...Ch. 11.3 - Elimination of a Drug A patient receives 6 mg of a...Ch. 11.3 - Elimination of a Drug A patient receives 2 mg of a...Ch. 11.3 - Drug Dosage A patient receives M mg of a certain...Ch. 11.3 - Drug Dosage A patient receives M mg of a certain...Ch. 11.3 - Prob. 33ECh. 11.3 - The infinite series a1+a2+a3+ has partial sums...Ch. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - Prob. 37ECh. 11.3 - Determine the sums of the following infinite...Ch. 11.3 - Prob. 39ECh. 11.3 - Prob. 40ECh. 11.3 - Prob. 41ECh. 11.3 - Prob. 42ECh. 11.3 - Prob. 43ECh. 11.3 - Prob. 44ECh. 11.3 - Prob. 45ECh. 11.3 - Prob. 46ECh. 11.3 - Prob. 47ECh. 11.3 - Prob. 48ECh. 11.3 - Prob. 49ECh. 11.3 - In Exercises 49 and 50, convince yourself that the...Ch. 11.4 - What is the improper integral associated with the...Ch. 11.4 - Prob. 2CYUCh. 11.4 - Prob. 1ECh. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - In Exercises 116, use the integral test to...Ch. 11.4 - Prob. 12ECh. 11.4 - Prob. 13ECh. 11.4 - Prob. 14ECh. 11.4 - Prob. 15ECh. 11.4 - In Exercises 116, use the integral test to...Ch. 11.4 - Prob. 17ECh. 11.4 - Prob. 18ECh. 11.4 - Prob. 19ECh. 11.4 - Prob. 20ECh. 11.4 - In Excercises 2126, use the comparison test to...Ch. 11.4 - Prob. 22ECh. 11.4 - Prob. 23ECh. 11.4 - Prob. 24ECh. 11.4 - Prob. 25ECh. 11.4 - Prob. 26ECh. 11.4 - Prob. 27ECh. 11.4 - Prob. 28ECh. 11.4 - Prob. 29ECh. 11.4 - Prob. 30ECh. 11.4 - Use Exercise 29 to show that the series...Ch. 11.4 - Use Exercise 30 to show that the series k=13k2 is...Ch. 11.5 - Find the Taylor series expansion of sinx at x=0.Ch. 11.5 - Find the Taylor series expansion of cosx at x=0.Ch. 11.5 - Prob. 3CYUCh. 11.5 - Prob. 4CYUCh. 11.5 - Prob. 1ECh. 11.5 - Prob. 2ECh. 11.5 - Prob. 3ECh. 11.5 - In Exercises 14, find the Taylor series at x=0 of...Ch. 11.5 - Prob. 5ECh. 11.5 - Prob. 6ECh. 11.5 - Prob. 7ECh. 11.5 - Prob. 8ECh. 11.5 - Prob. 9ECh. 11.5 - In Exercises 520, find the Taylor series at x=0 of...Ch. 11.5 - Prob. 11ECh. 11.5 - Prob. 12ECh. 11.5 - Prob. 13ECh. 11.5 - Prob. 14ECh. 11.5 - In Exercises 520, find the Taylor series at x=0 of...Ch. 11.5 - Prob. 16ECh. 11.5 - Prob. 17ECh. 11.5 - Prob. 18ECh. 11.5 - Prob. 19ECh. 11.5 - In Exercises 520, find the Taylor series at x=0 of...Ch. 11.5 - Find the Taylor series of xex2 at x=0.Ch. 11.5 - Prob. 22ECh. 11.5 - Prob. 23ECh. 11.5 - Prob. 24ECh. 11.5 - Prob. 25ECh. 11.5 - Prob. 26ECh. 11.5 - Prob. 27ECh. 11.5 - Prob. 28ECh. 11.5 - Prob. 29ECh. 11.5 - Prob. 30ECh. 11.5 - Prob. 31ECh. 11.5 - Prob. 32ECh. 11.5 - Prob. 33ECh. 11.5 - The Taylor series at x=0 for 1+x21x is...Ch. 11.5 - Prob. 35ECh. 11.5 - Prob. 36ECh. 11.5 - Prob. 37ECh. 11.5 - Prob. 38ECh. 11.5 - In Exercises 3840, find the infinite series that...Ch. 11.5 - Prob. 40ECh. 11.5 - Prob. 41ECh. 11.5 - Prob. 42ECh. 11.5 - Prob. 43ECh. 11.5 - Prob. 44ECh. 11.5 - Prob. 45ECh. 11.5 - Prob. 46ECh. 11 - Prob. 1CYUCh. 11 - Prob. 2CYUCh. 11 - Prob. 3CYUCh. 11 - Prob. 4CYUCh. 11 - Prob. 5CYUCh. 11 - Prob. 6CYUCh. 11 - What is meant by the sum of a convergent infinite...Ch. 11 - Prob. 8CYUCh. 11 - Prob. 9CYUCh. 11 - Prob. 10CYUCh. 11 - Prob. 11CYUCh. 11 - Prob. 1RECh. 11 - Prob. 2RECh. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Use the third Taylor polynomial of ln(1x) at x=0...Ch. 11 - Prob. 11RECh. 11 - Prob. 12RECh. 11 - In Exercise 1320, find the sum of the given...Ch. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - Prob. 16RECh. 11 - Prob. 17RECh. 11 - Prob. 18RECh. 11 - Prob. 19RECh. 11 - Prob. 20RECh. 11 - Prob. 21RECh. 11 - Prob. 22RECh. 11 - Prob. 23RECh. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - Prob. 26RECh. 11 - Prob. 27RECh. 11 - Prob. 28RECh. 11 - Prob. 29RECh. 11 - In Exercise 2932, find the Taylor series at x=0 of...Ch. 11 - Prob. 31RECh. 11 - Prob. 32RECh. 11 - Fine the Taylor series of cos2x at x=0, either by...Ch. 11 - Prob. 34RECh. 11 - Prob. 35RECh. 11 - Prob. 36RECh. 11 - Prob. 37RECh. 11 - Prob. 38RECh. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - Prob. 41RECh. 11 - Prob. 42RECh. 11 - Prob. 43RECh. 11 - Prob. 44RECh. 11 - Prob. 45RE
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