(a) Write the Taylor polynomial of degree 6 centered at 7 for cosx. (b) Use ≈ 3.14159 and the above polynomial to find an approximate value of cos(3). Round your answer to 5 digits after the decimal sign. (c) Use a computing device to find the value of cos(3). Round the output to 5 digits after the decimal sign. (d) Write the difference between the values that you obtained in parts (b) and (c).
(a) Write the Taylor polynomial of degree 6 centered at 7 for cosx. (b) Use ≈ 3.14159 and the above polynomial to find an approximate value of cos(3). Round your answer to 5 digits after the decimal sign. (c) Use a computing device to find the value of cos(3). Round the output to 5 digits after the decimal sign. (d) Write the difference between the values that you obtained in parts (b) and (c).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 4E
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Transcribed Image Text:Exercise 2.
(a) Write the Taylor polynomial of degree 6 centered at π for cosx.
(b) Use ≈ 3.14159 and the above polynomial to find an approximate value of cos(3). Round your answer to 5
digits after the decimal sign.
(c) Use a computing device to find the value of cos(3). Round the output to 5 digits after the decimal sign.
(d) Write the difference between the values that you obtained in parts (b) and (c).
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