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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
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 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:
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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