Suppose g is a function which has continuous derivatives, and that g(0) = - 10, g'(0) = 9, g "(0) = - 1 and g(0) = 12. What is the Taylor polnomial of degree 2 for g, centered at a = 0? T2(z) : - 10 + 9z What is the Taylor polnomial of degree 3 for g, centered at a = 0? T3(z) = 10 + 9z – 0.5z2 +r 3 Use T2(x) to approximate 9(0.3) 2 Use T3(z) to approximate g(0.3) -

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra
Problem 3E: A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is...
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Suppose g is a function which has continuous derivatives, and that g(0) = - 10, g'(0) = 9,
g "(0) = - 1 and g(0) = 12.
What is the Taylor polnomial of degree 2 for g, centered at a = 0?
T2(z) :
- 10 + 9z
What is the Taylor polnomial of degree 3 for g, centered at a = 0?
T3(z) =
10 + 9z – 0.5z2 +r
3
Use T2(x) to approximate
9(0.3) 2
Use T3(z) to approximate
g(0.3) a
Transcribed Image Text:Suppose g is a function which has continuous derivatives, and that g(0) = - 10, g'(0) = 9, g "(0) = - 1 and g(0) = 12. What is the Taylor polnomial of degree 2 for g, centered at a = 0? T2(z) : - 10 + 9z What is the Taylor polnomial of degree 3 for g, centered at a = 0? T3(z) = 10 + 9z – 0.5z2 +r 3 Use T2(x) to approximate 9(0.3) 2 Use T3(z) to approximate g(0.3) a
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