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Based - Calculus - Quiz, Exercises of Calculus

Aliah UniversityCalculus

This is class quiz. Its from Calculus class. Some key points are: Based, Third Order, Taylor Polynomial, Function, Theorem, Error Committed, Maclaurin

Typology: Exercises

2012/2013

Uploaded on 03/16/2013

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MATH 106B,C - CALCULUS II FALL 2011
QUIZ 6
NAME:
Show ALL your work CAREFULLY.
(a) Find the third-order Taylor polynomial P3(x) for the function g(x) = sin(2x) based at x0=π
2.
(b) Let f(x) = xex. Using Taylor’s theorem, what is the error committed by M2, the Maclaurin
polynomial of degree 2 for f(x) over the interval [−1,1]?
Date: October 28, 2011.
1

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MATH 106B,C - CALCULUS II FALL 2011

QUIZ 6

NAME:

Show ALL your work CAREFULLY.

(a) Find the third-order Taylor polynomial P 3 (x) for the function g(x) = sin(2x) based at x 0 = π 2.

(b) Let f (x) = xex. Using Taylor’s theorem, what is the error committed by M 2 , the Maclaurin polynomial of degree 2 for f (x) over the interval [− 1 , 1]?

Date: October 28, 2011. 1