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Question 3. Define an even periodic extension of f(t) and hence find its half-range cosine series representation in the form ²) = 1 + 5t, FS(t): - ao 2 0 < t ≤4 + an Cos n=1 nπt Compute ao, a1, a2, a3 correct to three decimal places and enter the values in the appropriate boxes below. A: Enter ao correct to 3 decimal places: B: Enter a₁ correct to 3 decimal places: C: Enter a2 correct to 3 decimal places: D: Enter a3 correct to 3 decimal places:

Question 3. Define an even periodic extension of f(t) and hence find its half-range cosine series representation in the form ²) = 1 + 5t, FS(t): - ao 2 0 < t ≤4 + an Cos n=1 nπt Compute ao, a1, a2, a3 correct to three decimal places and enter the values in the appropriate boxes below. A: Enter ao correct to 3 decimal places: B: Enter a₁ correct to 3 decimal places: C: Enter a2 correct to 3 decimal places: D: Enter a3 correct to 3 decimal places:

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 3. Define an even periodic extension of f(t) = 1 + 5t, 0 < t ≤ 4 and hence find its half-range cosine series representation in the form FS(t) = 200 ao + an cos nπt Compute ao, a1, a2, a3 correct to three decimal places and enter the values in the appropriate boxes below. A: Enter ao correct to 3 decimal places: B: Enter a₁ correct to 3 decimal places: C: Enter a2 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) = 1 + 5t, 0 < t ≤ 4 and hence find its half-range cosine series representation in the form FS(t) = 200 ao + an cos nπt Compute ao, a1, a2, a3 correct to three decimal places and enter the values in the appropriate boxes below. A: Enter ao correct to 3 decimal places: B: Enter a₁ correct to 3 decimal places: C: Enter a2 correct to 3 decimal places: D: Enter a3 correct to 3 decimal places:
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