Plot the function and find the Laplace transform of a periodic function with a period T = 2a, definedasf(t) = t(H(t) H(t a)) + (2a t)(H(t a) H(t 2a))…

Plot the function and find the Laplace transform of a periodic function with a period T = 2a, definedasf(t) = t(H(t) − H(t − a)) + (2a − t)(H(t − a) − H(t − 2a)) t ∈ [0, 2a)Here a is a positive real number