Question 2. Define an even periodic extension of f(t) = 1 + 6t, and hence find its half-range cosine series representation in the form 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 71E
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Question 2.
Define an even periodic extension of
f(t) = 1 + 6t,
and hence find its half-range cosine series representation in the form
0<t≤ 4
ao
FS(t) + San cos
2
n=1
nπt
4
Compute ao, a₁, a2, a correct to three decimal places and enter the values in the appropriate boxes below.
A: Enter a correct to 3 decimal places:
B: Enter a₁ correct to 3 decimal places:
C: Enter a
correct to 3 decimal places:
D: Enter a
correct to 3 decimal places:
Transcribed Image Text:Question 2. Define an even periodic extension of f(t) = 1 + 6t, and hence find its half-range cosine series representation in the form 0<t≤ 4 ao FS(t) + San cos 2 n=1 nπt 4 Compute ao, a₁, a2, a correct to three decimal places and enter the values in the appropriate boxes below. A: Enter a correct to 3 decimal places: B: Enter a₁ correct to 3 decimal places: C: Enter a correct to 3 decimal places: D: Enter a correct to 3 decimal places:
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