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Question 6 Four data points, (0,1), (1,4), (2,2), and (3,3), were collected in an experiment. The DFT of [1, 4, 2, 3] is [5, -i, -2,- + i]. Let f (t) = a + b cos(nt) + c sin(at) + d cos(at) be the trig interpolation function that passes through the four data points. What is the value of the coefficient d?

Question 6 Four data points, (0,1), (1,4), (2,2), and (3,3), were collected in an experiment. The DFT of [1, 4, 2, 3] is [5, -i, -2,- + i]. Let f (t) = a + b cos(nt) + c sin(at) + d cos(at) be the trig interpolation function that passes through the four data points. What is the value of the coefficient d?

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 6 Four data points, (0,1), (1,4), (2,2), and (3,3), were collected in an experiment. The DFT of [1, 4, 2, 3] is [5, - -i, -2, - +i). Let f (t) = a+ b cos(at) +c sin(at) +d cos(rt) be the trig interpolation function that passes through the four data points. What is the value of the coefficient d?
Transcribed Image Text:Question 6 Four data points, (0,1), (1,4), (2,2), and (3,3), were collected in an experiment. The DFT of [1, 4, 2, 3] is [5, - -i, -2, - +i). Let f (t) = a+ b cos(at) +c sin(at) +d cos(rt) be the trig interpolation function that passes through the four data points. What is the value of the coefficient d?
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