The degree three Taylor polynomial of a function f about x = e is: T3(x) = 2 + (x − e) + 4(x − e)² + 6(x – e)³. Which assertion can be deduced from this information? ○ f'(e) = 2 ○ ƒ(0) = 2 − e + 4e² − 6e³ f"(e) = 18 f" (e) = 36 ○ ƒ(2) = e³

The degree three Taylor polynomial of a function f about x = e is: T3(x) = 2 + (x − e) + 4(x − e)² + 6(x – e)³. Which assertion can be deduced from this information? ○ f'(e) = 2 ○ ƒ(0) = 2 − e + 4e² − 6e³ f"(e) = 18 f" (e) = 36 ○ ƒ(2) = e³

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Complex Numbers

Section4.2: Complex Solutions Of Equations

Problem 7ECP: Find the cubic polynomial function f with real coefficients that has 1 and 2+i as zeros, and f2=2.

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Question

The degree three Taylor polynomial of a function f about x = e is:
T3(x) = 2 + (x − e) + 4(x − e)² + 6(x – e)³.
Which assertion can be deduced from this information?
ƒ'(e) = 2
ƒ(0) = 2 −e + 4e² − 6e³
f"(e) = 18
f" (e) = 36
ƒ(2) = e³

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