Question 9 8 pts (a) Find a series representation for function f (x) = e-² using e (b) Using your answer in (a), estimate the following integral's value with an error of magnitude less than 10-8. Do not round your answer until the final answer. Then round to five decimal places as needed. 50.24e-2² dx n=0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.4: Total Differentials And Approximations
Problem 9E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
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Question 9
(a) Find a series representation for function ƒ (x) = e-™² using eª
(b) Using your answer in (a), estimate the following integral's value with an error of magnitude less than 10-8. Do not round your answer
until the final answer. Then round to five decimal places as needed.
+0.2
0.²4e-² dx
xn
n!
n=0
8 pts
Transcribed Image Text:Question 9 (a) Find a series representation for function ƒ (x) = e-™² using eª (b) Using your answer in (a), estimate the following integral's value with an error of magnitude less than 10-8. Do not round your answer until the final answer. Then round to five decimal places as needed. +0.2 0.²4e-² dx xn n! n=0 8 pts
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