Solved: COMPUTER EXPLORATIONSUse a CAS to estimate the

Chapter 3, Problem 69E

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Problem 69E

COMPUTER EXPLORATIONS

Use a CAS to estimate the magnitude of the error in using the linearization in place of the function over a specified interval I. Perform the following steps:

a. Plot the function ƒ over I.

b. Find the linearization L of the function at the point a.

c. Plot ƒ and L together on a single graph.

d. Plot the absolute error and I find its maximum value.

e. From your graph in part (d), estimate as large a as you can, satisfying

for  Then check graphically to see if your  holds true.

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