8. Consider the periodic function f(t) = 1 - t 2 , -1 t 1, T = 2 (a) Find the Fourier coefficients for this function. (b) Plot the function and its Fourier approximation between t = -2 and t = 2. For the Fourier Approximation, use K = 5; 11 and 51. (c) How many terms in the Fourier series are required for good resolution of the function