Find the Taylor polynomial T3 for the function f(x) at the numbe sin(9) + cos(9)(x-9). sin (9) + cos(9)(x + 9) sin(9) + cos(9)(x - 9) + sin (9) 2 -(x - 9)² - sin (9) 2 f(x) = sin(x) sin (9) cos(9)(x-9) ³ cos(9) 6 x + 9)² - ²(x-9)² + -(x + 9) ³ -(x-9) ³ cos(9) 6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 12E
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Find the Taylor polynomial T3 for the function f(x) at the number a = 9.
sin (9) + cos(9)(x − 9) -
sin (9) + cos(9)(x + 9)
sin (9) + cos(9)(x - 9) +
sin (9)
2
(⁹)
sin (9)
2
(x-9)
f(x) = sin(x)
sin (9)
2
(x + 9)²-
cos(9)
6
²(x-9) ²
+
3
-(x-9) ³
cos(9)
6
3
-(x + 9) ³
cos(9)
6
3
-(x-9) ³
Transcribed Image Text:Find the Taylor polynomial T3 for the function f(x) at the number a = 9. sin (9) + cos(9)(x − 9) - sin (9) + cos(9)(x + 9) sin (9) + cos(9)(x - 9) + sin (9) 2 (⁹) sin (9) 2 (x-9) f(x) = sin(x) sin (9) 2 (x + 9)²- cos(9) 6 ²(x-9) ² + 3 -(x-9) ³ cos(9) 6 3 -(x + 9) ³ cos(9) 6 3 -(x-9) ³
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