Calc BC Day 2 after 9B Test 2013.notebook

Calc BC Day 2 after 9B Test 2013.notebook
March 18, 2013
AP Calculus BC: LaGrange Error Bound
Obj: Use LaGrange Remainder to find an upper bound for the error in approximations made with a Taylor polynomial.
Remember Taylor's Series Formula:
where z is between x (variable) and c (center)
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Calc BC Day 2 after 9B Test 2013.notebook
March 18, 2013
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Calc BC Day 2 after 9B Test 2013.notebook
March 18, 2013
2) e0.3 A) Approximate using 6 terms of a Taylor polynomial
B) Find the LaGrange Error Bound for the approximation above.
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Calc BC Day 2 after 9B Test 2013.notebook
March 18, 2013
3) Approximate using a Taylor Polynomial of order 3
centered at 1. Use this for |x| < 1.1
A) Give an upper bound for the error of this approximation
using LaGrange Error Bound.
Assignment: Worksheet 5
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