Problem #3: Expand the following function in a cosine series, 9 -8 < x < -1 4 -1 < x < 1 9 1 ≤ x ≤ 8 f(x) = = and then u

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Problem 3 Expand The Following Function In A Cosine Series 9 8 X 1 4 1 X 1 9 1 X 8 F X And Then U 1 (33.57 KiB) Viewed 40 times

Problem 3 Expand The Following Function In A Cosine Series 9 8 X 1 4 1 X 1 9 1 X 8 F X And Then U 2 (26.6 KiB) Viewed 40 times

Problem 3 Expand The Following Function In A Cosine Series 9 8 X 1 4 1 X 1 9 1 X 8 F X And Then U 3 (43.76 KiB) Viewed 40 times

Problem #3: Expand the following function in a cosine series, 9 -8 < x < -1 4 -1 < x < 1 9 1 ≤ x ≤ 8 f(x) = = and then using the notation from Problem #2 above, (a) find the value of co. (b) find the function gi(n,x).

m #2: Let f(x) = 3 − 2x, −1 < x < 7. Using the same notation as in Problem #1 above, (a) find the value of co. (b) find the function gi(n,x). (c) find the function g₂(n,x).

Problem #1: Let f(x) M (3 -1 < x < 0 8.x 0 < x < 1 The Fourier series for f(x), ∞ f(x) = + (an cos x + bn sin x) is of the form n=1 8 f(x) = co + 2 (g1(2,x) + g2(n,x)) n=1 (a) Find the value of co. (b) Find the function gi(n,x). (c) Find the function g₂(n,x).