COMPUTER EXPLORATIONSUse a CAS to estimate
Chapter 3, Problem 72E(choose chapter or problem)
Problem 72E
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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