1. Suppose f(t) is a 27 periodic function, but we only know the value of f at certain values of t: t - TT -71 /2 10 TT / 2 TT f (t) 1 4 5 2 1 a Use Riemann sums to approximate the first partial sum of the Fourier series for f(x). This means that, with appropriately chosen coefficients, your answer should be of the form F(t) = do + a1 cos(t) + b, sin(t) b Why must it be true that the left-hand, right-hand, and trapezoidal sum would give the same