Question 3. Define an even periodic extension of f(t) = 4 + 2t, and hence find its half-range cosine series representation in the form ao FS(t) = 2 + 2a, cos (nat). an 2 n=1 0 < t < 2 Compute ao, a₁, a2, a3 correct to three decimal places and enter the values in the appropriate boxes below. A: Enter a correct to 3 decimal places: B: Enter a correct to 3 decimal places: C: Enter a correct to 3 decimal places: D: Enter a3 correct to 3 decimal places:
Question 3. Define an even periodic extension of f(t) = 4 + 2t, and hence find its half-range cosine series representation in the form ao FS(t) = 2 + 2a, cos (nat). an 2 n=1 0 < t < 2 Compute ao, a₁, a2, a3 correct to three decimal places and enter the values in the appropriate boxes below. A: Enter a correct to 3 decimal places: B: Enter a correct to 3 decimal places: C: Enter a correct to 3 decimal places: D: Enter a3 correct to 3 decimal places:
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
Related questions
Question
![Question 3.
Define an even periodic extension of
f(t) = 4 + 2t,
and hence find its half-range cosine series representation in the form
FS(t)
=
ao
2
0<t≤2
∞
+ Σ ancos
n=1
nπt
a, cos (12)
Compute aº, a₁, a2, a3 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 a3 correct to 3 decimal places:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71d8f41c-1b77-46dd-a37a-38b24e87dcf6%2F1633c9a0-36b0-422e-89d2-b4f417722aa2%2F0unbnes_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 3.
Define an even periodic extension of
f(t) = 4 + 2t,
and hence find its half-range cosine series representation in the form
FS(t)
=
ao
2
0<t≤2
∞
+ Σ ancos
n=1
nπt
a, cos (12)
Compute aº, a₁, a2, a3 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 a3 correct to 3 decimal places:
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