1) Find the inner product (f.j) between the following pairs of functions fands. part a) f and are 2x-penodic with F(x) = sinx and g(x)=x for x = (0,2x). part b) f and Ig are 2x-pensdic with F(x) = ((1+i)x and g(x) = x² for x = (0,2%). part c) f and I are 4x-penodic with f(x) = x and g(x) = e* for x = (-2,2). = (1+i)x for x = (0,2x). part d) f and are 2x-penodic with F(x) = x² and g(x) part e) f and I are 10x-periodic with f(x) = Sin (x³ cos(x)) and g(x) = cos (2x sin(x)) for x = (-5,5).