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Degree - Calculus - Quiz, Exercises of Calculus

Aliah UniversityCalculus

This is class quiz. Its from Calculus class. Some key points are: Degree, Taylor Polynomial, Previous, Estimate, Maximum Possible Error, Interval, Fraction

Typology: Exercises

2012/2013

Uploaded on 03/16/2013

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NAME:
Math 106 - Quiz 6 - October 27, 2006
Instructions: Show all of your work and circle your final answers. Calculators are allowed, but notes and
books are not.
1. Find the Taylor polynomial of degree 3 for f(x) = ln xat x0= 1.
2. Use your answer in the previous problem to find an estimate for ln 2. (Your final answer should be a
(single) fraction.)
3. According to Taylor’s Theorem, what is the maximum possible error that could occur with this Taylor
polynomial on the interval [1,2]?

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NAME:

Math 106 - Quiz 6 - October 27, 2006

Instructions: Show all of your work and circle your final answers. Calculators are allowed, but notes and books are not.

  1. Find the Taylor polynomial of degree 3 for f (x) = ln x at x 0 = 1.
  2. Use your answer in the previous problem to find an estimate for ln 2. (Your final answer should be a (single) fraction.)
  3. According to Taylor’s Theorem, what is the maximum possible error that could occur with this Taylor polynomial on the interval [1, 2]?