Math Problem Statement

Find the order 3 Taylor polynomial T3(x) of the given function given. Use exact values.

f(x)=(-7x+51)3/2 centered at a=6.

T3(x)=

Solution

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Math Problem Analysis

Mathematical Concepts

Taylor series
Polynomials
Derivatives

Formulas

Taylor series expansion

Theorems

Taylor's theorem

Suitable Grade Level

Advanced undergraduate level