2. Let f(t) be a continuous function on the interval [0, 27]. Suppose the 1st order Fourier approximation to f(t) is 1 – cos(t). Prove that " f(t)²dt > 3n.
2. Let f(t) be a continuous function on the interval [0, 27]. Suppose the 1st order Fourier approximation to f(t) is 1 – cos(t). Prove that " f(t)²dt > 3n.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.4: Related Rates
Problem 9E: Assume xand yare functions of t.Evaluate dy/dtfor each of the following. cos(xy)+2x+y2=2; dxdt=2,...
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![2. Let f(t) be a continuous function on the interval [0, 27]. Suppose the 1st order Fourier
approximation to f(t) is 1 – cos(t). Prove that " f(t)²dt > 3n.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb33503e-6593-4dd1-add7-d84a9cfe1195%2Ffebe4aec-636d-46a9-829d-a1652d5a9f69%2Flm4t3uo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Let f(t) be a continuous function on the interval [0, 27]. Suppose the 1st order Fourier
approximation to f(t) is 1 – cos(t). Prove that " f(t)²dt > 3n.
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