CODE/CALC ET 3-HOLE
2nd Edition
ISBN: 9781323178522
Author: Briggs
Publisher: PEARSON
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Textbook Question
Chapter 9.3, Problem 2E
What conditions must be satisfied by a function f to have a Taylor series centered at a?
Expert Solution & Answer
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Students have asked these similar questions
5. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.5.AE.003.
y
y= ex²
0
Video Example
x
EXAMPLE 3
(a) Use the Midpoint Rule with n = 10 to approximate the integral
कर
L'ex²
dx.
(b) Give an upper bound for the error involved in this approximation.
SOLUTION
8+2
1
L'ex² d
(a) Since a = 0, b = 1, and n = 10, the Midpoint Rule gives the following. (Round your answer to six decimal places.)
dx Ax[f(0.05) + f(0.15) + ... + f(0.85) + f(0.95)]
0.1 [0.0025 +0.0225
+
+ e0.0625 + 0.1225
e0.3025 + e0.4225
+ e0.2025
+
+ e0.5625 €0.7225 +0.9025]
The figure illustrates this approximation.
(b) Since f(x) = ex², we have f'(x)
=
0 ≤ f'(x) =
< 6e.
ASK YOUR TEACHER
and f'(x) =
Also, since 0 ≤ x ≤ 1 we have x² ≤
and so
Taking K = 6e, a = 0, b = 1, and n = 10 in the error estimate, we see that an upper bound for the error is as follows. (Round your final
answer to five decimal places.)
6e(1)3
e
24(
=
≈
2. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.5.015.
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.)
ASK YOUR TEACHER
3
1
3 +
dy, n = 6
(a) the Trapezoidal Rule
(b) the Midpoint Rule
(c) Simpson's Rule
Need Help? Read It
Watch It
This question builds on an earlier problem. The randomized numbers may have changed, but have your work for the previous problem available to help with this one.
A 4-centimeter rod is attached at one end to a point A rotating counterclockwise on a wheel of radius 2 cm. The other end B is free to move back and forth along a horizontal bar that goes through the center of the wheel. At time t=0 the rod is situated as in the diagram at the left below. The
wheel rotates counterclockwise at 1.5 rev/sec. At some point, the rod will be tangent to the circle as shown in the third picture.
B
A
B
at some instant, the piston will be tangent to the circle
(a) Express the x and y coordinates of point A as functions of t:
x= 2 cos(3πt)
and y= 2 sin(3πt)
(b) Write a formula for the slope of the tangent line to the circle at the point A at time t seconds:
-cot (3πt)
(c) Express the x-coordinate of the right end of the rod at point B as a function of t: 2 cos(3πt) +41/1
(d) Express the slope of the rod…
Chapter 9 Solutions
CODE/CALC ET 3-HOLE
Ch. 9.1 - Suppose you use a second-order Taylor polynomial...Ch. 9.1 - Does the accuracy of an approximation given by a...Ch. 9.1 - The first three Taylor polynomials for f(x)=1+x...Ch. 9.1 - Prob. 4ECh. 9.1 - How is the remainder Rn(x) in a Taylor polynomial...Ch. 9.1 - Explain how to estimate the remainder in an...Ch. 9.1 - Linear and quadratic approximation a. Find the...Ch. 9.1 - Linear and quadratic approximation a. Find the...Ch. 9.1 - Linear and quadratic approximation a. Find the...Ch. 9.1 - Linear and quadratic approximation a. Find the...
Ch. 9.1 - Linear and quadratic approximation a. Find the...Ch. 9.1 - Linear and quadratic approximation a. Find the...Ch. 9.1 - Linear and quadratic approximation a. Find the...Ch. 9.1 - Linear and quadratic approximation a. Find the...Ch. 9.1 - Taylor polynomials a. Find the nth-order Taylor...Ch. 9.1 - Taylor polynomials a. Find the nth-order Taylor...Ch. 9.1 - Taylor polynomials a. Find the nth-order Taylor...Ch. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Prob. 21ECh. 9.1 - Prob. 22ECh. 9.1 - Approximations with Taylor polynomials a. Use the...Ch. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Approximations with Taylor polynomials a. Use the...Ch. 9.1 - Approximations with Taylor polynomials a. Use the...Ch. 9.1 - Prob. 28ECh. 9.1 - Taylor polynomials centered at a 0 a. Find the...Ch. 9.1 - Taylor polynomials centered at a 0 a. Find the...Ch. 9.1 - Prob. 31ECh. 9.1 - Prob. 32ECh. 9.1 - Prob. 33ECh. 9.1 - Prob. 34ECh. 9.1 - Prob. 35ECh. 9.1 - Prob. 36ECh. 9.1 - Prob. 37ECh. 9.1 - Prob. 38ECh. 9.1 - Approximations with Taylor polynomials a....Ch. 9.1 - Approximations with Taylor polynomials a....Ch. 9.1 - Approximations with Taylor polynomials a....Ch. 9.1 - Approximations with Taylor polynomials a....Ch. 9.1 - Approximations with Taylor polynomials a....Ch. 9.1 - Approximations with Taylor polynomials a....Ch. 9.1 - Prob. 45ECh. 9.1 - Approximations with Taylor polynomials a....Ch. 9.1 - Approximations with Taylor polynomials a....Ch. 9.1 - Prob. 48ECh. 9.1 - Remainders Find the remainder Rn for the nth-order...Ch. 9.1 - Remainders Find the remainder Rn for the nth-order...Ch. 9.1 - Prob. 51ECh. 9.1 - Remainders Find the remainder Rn for the nth-order...Ch. 9.1 - Remainders Find the remainder Rn for the nth-order...Ch. 9.1 - Remainders Find the remainder Rn for the nth-order...Ch. 9.1 - Estimating errors Use the remainder to find a...Ch. 9.1 - Estimating errors Use the remainder to find a...Ch. 9.1 - Estimating errors Use the remainder to find a...Ch. 9.1 - Estimating errors Use the remainder to find a...Ch. 9.1 - Estimating errors Use the remainder to find a...Ch. 9.1 - Estimating errors Use the remainder to find a...Ch. 9.1 - Error bounds Use the remainder to find a bound on...Ch. 9.1 - Prob. 62ECh. 9.1 - Error bounds Use the remainder to find a bound on...Ch. 9.1 - Error bounds Use the remainder to find a bound on...Ch. 9.1 - Error bounds Use the remainder to find a bound on...Ch. 9.1 - Error bounds Use the remainder to find a bound on...Ch. 9.1 - Number of terms What is the minimum order of the...Ch. 9.1 - Number of terms What is the minimum order of the...Ch. 9.1 - Number of terms What is the minimum order of the...Ch. 9.1 - Number of terms What is the minimum order of the...Ch. 9.1 - Number of terms What is the minimum order of the...Ch. 9.1 - Number of terms What is the minimum order of the...Ch. 9.1 - Explain why or why not Determine whether the...Ch. 9.1 - Prob. 74ECh. 9.1 - Matching functions with polynomials Match...Ch. 9.1 - Prob. 76ECh. 9.1 - Small argument approximations Consider the...Ch. 9.1 - Prob. 78ECh. 9.1 - Prob. 79ECh. 9.1 - Prob. 80ECh. 9.1 - Small argument approximations Consider the...Ch. 9.1 - Small argument approximations Consider the...Ch. 9.1 - Small argument approximations Consider the...Ch. 9.1 - Prob. 84ECh. 9.1 - Prob. 85ECh. 9.1 - Prob. 86ECh. 9.1 - Prob. 87ECh. 9.1 - Prob. 88ECh. 9.1 - Prob. 89ECh. 9.1 - Prob. 90ECh. 9.1 - Best expansion point Suppose you wish to...Ch. 9.1 - Prob. 92ECh. 9.1 - Tangent line is p1 Let f be differentiable at x =...Ch. 9.1 - Local extreme points and inflection points Suppose...Ch. 9.1 - Prob. 95ECh. 9.1 - Approximating In x Let f(x) = ln x and let pn and...Ch. 9.1 - Approximating square roots Let p1 and q1 be the...Ch. 9.1 - A different kind of approximation When...Ch. 9.2 - Write the first four terms of a power series with...Ch. 9.2 - Prob. 2ECh. 9.2 - What tests are used to determine the radius of...Ch. 9.2 - Prob. 4ECh. 9.2 - Do the interval and radius of convergence of a...Ch. 9.2 - Prob. 6ECh. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Interval and radius of convergence Determine the...Ch. 9.2 - Prob. 10ECh. 9.2 - Interval and radius of convergence Determine the...Ch. 9.2 - Interval and radius of convergence Determine the...Ch. 9.2 - Interval and radius of convergence Determine the...Ch. 9.2 - Interval and radius of convergence Determine the...Ch. 9.2 - Interval and radius of convergence Determine the...Ch. 9.2 - Interval and radius of convergence Determine the...Ch. 9.2 - Interval and radius of convergence Determine the...Ch. 9.2 - Interval and radius of convergence Determine the...Ch. 9.2 - Interval and radius of convergence Determine the...Ch. 9.2 - Interval and radius of convergence Determine the...Ch. 9.2 - Interval and radius of convergence Determine the...Ch. 9.2 - Interval and radius of convergence Determine the...Ch. 9.2 - Interval and radius of convergence Determine the...Ch. 9.2 - Interval and radius of convergence Determine the...Ch. 9.2 - Interval and radius of convergence Determine the...Ch. 9.2 - Prob. 26ECh. 9.2 - Interval and radius of convergence Determine the...Ch. 9.2 - Interval and radius of convergence Determine the...Ch. 9.2 - Combining power series Use the geometric series...Ch. 9.2 - Combining power series Use the geometric series...Ch. 9.2 - Combining power series Use the geometric series...Ch. 9.2 - Combining power series Use the geometric series...Ch. 9.2 - Combining power series Use the geometric series...Ch. 9.2 - Combining power series Use the geometric series...Ch. 9.2 - Combining power series Use the power series...Ch. 9.2 - Combining power series Use the power series...Ch. 9.2 - Prob. 37ECh. 9.2 - Combining power series Use the power series...Ch. 9.2 - Combining power series Use the power series...Ch. 9.2 - Prob. 40ECh. 9.2 - Differentiating and integrating power series Find...Ch. 9.2 - Differentiating and integrating power series Find...Ch. 9.2 - Differentiating and integrating power series Find...Ch. 9.2 - Differentiating and integrating power series Find...Ch. 9.2 - Differentiating and integrating power series Find...Ch. 9.2 - Differentiating and integrating power series Find...Ch. 9.2 - Prob. 47ECh. 9.2 - Functions to power series Find power series...Ch. 9.2 - Functions to power series Find power series...Ch. 9.2 - Functions to power series Find power series...Ch. 9.2 - Functions to power series Find power series...Ch. 9.2 - Functions to power series Find power series...Ch. 9.2 - Explain why or why not Determine whether the...Ch. 9.2 - Radius of convergence Find the radius of...Ch. 9.2 - Radius of convergence Find the radius of...Ch. 9.2 - Summation notation Write the following power...Ch. 9.2 - Summation notation Write the following power...Ch. 9.2 - Prob. 58ECh. 9.2 - Prob. 59ECh. 9.2 - Scaling power series If the power series...Ch. 9.2 - Shifting power series If the power series...Ch. 9.2 - Prob. 62ECh. 9.2 - Series to functions Find the function represented...Ch. 9.2 - Series to functions Find the function represented...Ch. 9.2 - Prob. 65ECh. 9.2 - Series to functions Find the function represented...Ch. 9.2 - Series to functions Find the function represented...Ch. 9.2 - A useful substitution Replace x with x 1 in the...Ch. 9.2 - Prob. 69ECh. 9.2 - Prob. 70ECh. 9.2 - Prob. 71ECh. 9.2 - Exponential function In Section 9.3, we show that...Ch. 9.2 - Prob. 73ECh. 9.2 - Remainders Let f(x)=k=0xk=11xandSn(x)=k=0n1xk. The...Ch. 9.2 - Prob. 75ECh. 9.2 - Inverse sine Given the power series...Ch. 9.2 - Prob. 77ECh. 9.3 - How are the Taylor polynomials for a function f...Ch. 9.3 - What conditions must be satisfied by a function f...Ch. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - For what values of p does the Taylor series for...Ch. 9.3 - In terms of the remainder, what does it mean for a...Ch. 9.3 - Prob. 8ECh. 9.3 - Maclaurin series a. Find the first four nonzero...Ch. 9.3 - Maclaurin series a. Find the first four nonzero...Ch. 9.3 - Maclaurin series a. Find the first four nonzero...Ch. 9.3 - Maclaurin series a. Find the first four nonzero...Ch. 9.3 - Maclaurin series a. Find the first four nonzero...Ch. 9.3 - Prob. 14ECh. 9.3 - Maclaurin series a. Find the first four nonzero...Ch. 9.3 - Maclaurin series a. Find the first four nonzero...Ch. 9.3 - Maclaurin series a. Find the first four nonzero...Ch. 9.3 - Maclaurin series a. Find the first four nonzero...Ch. 9.3 - Prob. 19ECh. 9.3 - Maclaurin series a. Find the first four nonzero...Ch. 9.3 - Taylor series centered at a 0 a. Find the first...Ch. 9.3 - Taylor series centered at a 0 a. Find the first...Ch. 9.3 - Taylor series centered at a 0 a. Find the first...Ch. 9.3 - Taylor series centered at a 0 a. Find the first...Ch. 9.3 - Taylor series centered at a 0 a. Find the first...Ch. 9.3 - Taylor series centered at a 0 a. Find the first...Ch. 9.3 - Taylor series centered at a 0 a. Find the first...Ch. 9.3 - Prob. 28ECh. 9.3 - Prob. 29ECh. 9.3 - Prob. 30ECh. 9.3 - Prob. 31ECh. 9.3 - Prob. 32ECh. 9.3 - Prob. 33ECh. 9.3 - Prob. 34ECh. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.3 - Prob. 37ECh. 9.3 - Prob. 38ECh. 9.3 - Binomial series a. Find the first four nonzero...Ch. 9.3 - Binomial series a. Find the first four nonzero...Ch. 9.3 - Prob. 41ECh. 9.3 - Binomial series a. Find the first four nonzero...Ch. 9.3 - Binomial series a. Find the first four nonzero...Ch. 9.3 - Binomial series a. Find the first four nonzero...Ch. 9.3 - Prob. 45ECh. 9.3 - Prob. 46ECh. 9.3 - Prob. 47ECh. 9.3 - Working with binomial series Use properties of...Ch. 9.3 - Prob. 49ECh. 9.3 - Working with binomial series Use properties of...Ch. 9.3 - Working with binomial series Use properties of...Ch. 9.3 - Working with binomial series Use properties of...Ch. 9.3 - Working with binomial series Use properties of...Ch. 9.3 - Working with binomial series Use properties of...Ch. 9.3 - Working with binomial series Use properties of...Ch. 9.3 - Working with binomial series Use properties of...Ch. 9.3 - Remainders Find the remainder in the Taylor series...Ch. 9.3 - Prob. 58ECh. 9.3 - Remainders Find the remainder in the Taylor series...Ch. 9.3 - Remainders Find the remainder in the Taylor series...Ch. 9.3 - Explain why or why not Determine whether the...Ch. 9.3 - Any method a. Use any analytical method to find...Ch. 9.3 - Any method a. Use any analytical method to find...Ch. 9.3 - Any method a. Use any analytical method to find...Ch. 9.3 - Any method a. Use any analytical method to find...Ch. 9.3 - Any method a. Use any analytical method to find...Ch. 9.3 - Any method a. Use any analytical method to find...Ch. 9.3 - Any method a. Use any analytical method to find...Ch. 9.3 - Any method a. Use any analytical method to find...Ch. 9.3 - Approximating powers Compute the coefficients for...Ch. 9.3 - Approximating powers Compute the coefficients for...Ch. 9.3 - Approximating powers Compute the coefficients for...Ch. 9.3 - Prob. 73ECh. 9.3 - Prob. 74ECh. 9.3 - Integer coefficients Show that the first five...Ch. 9.3 - Choosing a good center Suppose you want to...Ch. 9.3 - Alternative means By comparing the first four...Ch. 9.3 - Alternative means By comparing the first four...Ch. 9.3 - Prob. 79ECh. 9.3 - Prob. 80ECh. 9.3 - Prob. 81ECh. 9.3 - Composition of series Use composition of series to...Ch. 9.3 - Prob. 83ECh. 9.3 - Approximations Choose a Taylor series and center...Ch. 9.3 - Approximations Choose a Taylor series and center...Ch. 9.3 - Prob. 86ECh. 9.3 - Prob. 87ECh. 9.3 - Prob. 88ECh. 9.3 - Prob. 89ECh. 9.3 - Prob. 90ECh. 9.4 - Explain the strategy presented in this section for...Ch. 9.4 - Explain the method presented in this section for...Ch. 9.4 - How would you approximate e0.6 using the Taylor...Ch. 9.4 - Prob. 4ECh. 9.4 - Prob. 5ECh. 9.4 - What condition must be met by a function f for it...Ch. 9.4 - Limits Evaluate the following limits using Taylor...Ch. 9.4 - Limits Evaluate the following limits using Taylor...Ch. 9.4 - Limits Evaluate the following limits using Taylor...Ch. 9.4 - Limits Evaluate the following limits using Taylor...Ch. 9.4 - Limits Evaluate the following limits using Taylor...Ch. 9.4 - Limits Evaluate the following limits using Taylor...Ch. 9.4 - Limits Evaluate the following limits using Taylor...Ch. 9.4 - Limits Evaluate the following limits using Taylor...Ch. 9.4 - Limits Evaluate the following limits using Taylor...Ch. 9.4 - Limits Evaluate the following limits using Taylor...Ch. 9.4 - Limits Evaluate the following limits using Taylor...Ch. 9.4 - Limits Evaluate the following limits using Taylor...Ch. 9.4 - Limits Evaluate the following limits using Taylor...Ch. 9.4 - Limits Evaluate the following limits using Taylor...Ch. 9.4 - Limits Evaluate the following limits using Taylor...Ch. 9.4 - Limits Evaluate the following limits using Taylor...Ch. 9.4 - Limits Evaluate the following limits using Taylor...Ch. 9.4 - Limits Evaluate the following limits using Taylor...Ch. 9.4 - Power series for derivatives a. Differentiate the...Ch. 9.4 - Prob. 26ECh. 9.4 - Power series for derivatives a. Differentiate the...Ch. 9.4 - Power series for derivatives a. Differentiate the...Ch. 9.4 - Power series for derivatives a. Differentiate the...Ch. 9.4 - Power series for derivatives a. Differentiate the...Ch. 9.4 - Power series for derivatives a. Differentiate the...Ch. 9.4 - Power series for derivatives a. Differentiate the...Ch. 9.4 - Differential equations a. Find a power series for...Ch. 9.4 - Differential equations a. Find a power series for...Ch. 9.4 - Differential equations a. Find a power series for...Ch. 9.4 - Differential equations a. Find a power series for...Ch. 9.4 - Approximating definite integrals Use a Taylor...Ch. 9.4 - Approximating definite integrals Use a Taylor...Ch. 9.4 - Approximating definite integrals Use a Taylor...Ch. 9.4 - Approximating definite integrals Use a Taylor...Ch. 9.4 - Approximating definite integrals Use a Taylor...Ch. 9.4 - Approximating definite integrals Use a Taylor...Ch. 9.4 - Approximating definite integrals Use a Taylor...Ch. 9.4 - Approximating definite integrals Use a Taylor...Ch. 9.4 - Approximating real numbers Use an appropriate...Ch. 9.4 - Approximating real numbers Use an appropriate...Ch. 9.4 - Approximating real numbers Use an appropriate...Ch. 9.4 - Approximating real numbers Use an appropriate...Ch. 9.4 - Approximating real numbers Use an appropriate...Ch. 9.4 - Approximating real numbers Use an appropriate...Ch. 9.4 - Evaluating an infinite series Let f(x) = (ex ...Ch. 9.4 - Prob. 52ECh. 9.4 - Evaluating an infinite series Write the Taylor...Ch. 9.4 - Prob. 54ECh. 9.4 - Representing functions by power series Identify...Ch. 9.4 - Representing functions by power series Identify...Ch. 9.4 - Representing functions by power series Identify...Ch. 9.4 - Representing functions by power series Identify...Ch. 9.4 - Representing functions by power series Identify...Ch. 9.4 - Representing functions by power series Identify...Ch. 9.4 - Representing functions by power series Identify...Ch. 9.4 - Representing functions by power series Identify...Ch. 9.4 - Representing functions by power series Identify...Ch. 9.4 - Representing functions by power series Identify...Ch. 9.4 - Explain why or why not Determine whether the...Ch. 9.4 - Limits with a parameter Use Taylor series to...Ch. 9.4 - Limits with a parameter Use Taylor series to...Ch. 9.4 - Limits with a parameter Use Taylor series to...Ch. 9.4 - A limit by Taylor series Use Taylor series to...Ch. 9.4 - Prob. 70ECh. 9.4 - Prob. 71ECh. 9.4 - Prob. 72ECh. 9.4 - Prob. 73ECh. 9.4 - Prob. 74ECh. 9.4 - Prob. 75ECh. 9.4 - Prob. 76ECh. 9.4 - Elliptic integrals The period of a pendulum is...Ch. 9.4 - Prob. 78ECh. 9.4 - Fresnel integrals The theory of optics gives rise...Ch. 9.4 - Error function An essential function in statistics...Ch. 9.4 - Prob. 81ECh. 9.4 - Prob. 82ECh. 9.4 - Prob. 83ECh. 9.4 - Prob. 84ECh. 9.4 - Prob. 85ECh. 9 - Explain why or why not Determine whether the...Ch. 9 - Prob. 2RECh. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RECh. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Approximations a. Find the Taylor polynomials of...Ch. 9 - Estimating remainders Find the remainder term...Ch. 9 - Estimating remainders Find the remainder term...Ch. 9 - Estimating remainders Find the remainder term...Ch. 9 - Prob. 17RECh. 9 - Prob. 18RECh. 9 - Prob. 19RECh. 9 - Prob. 20RECh. 9 - Prob. 21RECh. 9 - Prob. 22RECh. 9 - Prob. 23RECh. 9 - Prob. 24RECh. 9 - Power series from the geometric series Use the...Ch. 9 - Power series from the geometric series Use the...Ch. 9 - Power series from the geometric series Use the...Ch. 9 - Prob. 28RECh. 9 - Prob. 29RECh. 9 - Power series from the geometric series Use the...Ch. 9 - Taylor series Write out the first three nonzero...Ch. 9 - Prob. 32RECh. 9 - Taylor series Write out the first three nonzero...Ch. 9 - Taylor series Write out the first three nonzero...Ch. 9 - Taylor series Write out the first three nonzero...Ch. 9 - Taylor series Write out the first three nonzero...Ch. 9 - Prob. 37RECh. 9 - Prob. 38RECh. 9 - Prob. 39RECh. 9 - Prob. 40RECh. 9 - Binomial series Write out the first three terms of...Ch. 9 - Prob. 42RECh. 9 - Prob. 43RECh. 9 - Prob. 44RECh. 9 - Convergence Write the remainder term Rn(x) for the...Ch. 9 - Prob. 46RECh. 9 - Limits by power series Use Taylor series to...Ch. 9 - Limits by power series Use Taylor series to...Ch. 9 - Limits by power series Use Taylor series to...Ch. 9 - Limits by power series Use Taylor series to...Ch. 9 - Limits by power series Use Taylor series to...Ch. 9 - Prob. 52RECh. 9 - Definite integrals by power series Use a Taylor...Ch. 9 - Prob. 54RECh. 9 - Definite integrals by power series Use a Taylor...Ch. 9 - Prob. 56RECh. 9 - Approximating real numbers Use an appropriate...Ch. 9 - Prob. 58RECh. 9 - Approximating real numbers Use an appropriate...Ch. 9 - Prob. 60RECh. 9 - Prob. 61RECh. 9 - Prob. 62RECh. 9 - Prob. 63RECh. 9 - Graphing Taylor polynomials Consider the function...
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