Lagrange Error Bound Worksheet With Answers- Calculus Maximus Ws 9.5
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13Calculus Maximus
WS 9.5: Lagrange Error Bound
Name_________________________________________ Date________________________ Period______
Worksheet 9.5—Lagrange Error Bound
Show all work. Calculator permitted except unless specifically stated.
Free Response & Short Answer
1. (a) Find the fourth-degree Taylor polynomial for cos x about
. Then use your polynomial to
x
0
approximate the value of cos 0.8 , and use Taylor’s Theorem to determine the accuracy of the
approximation. Give three decimal places.
(b) Find the interval
, a b such that
a
cos 0.8
b .
(c) Could cos 0.8 equal 0.695? Show why or why not.
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