Solve for the following higher order mathematical operations a) Find the derivative of f = 5x cos x² with respect to x, and with respect to y. b) Find the second derivative of f = sin(2x) cos(3y) c) Find the integral of f = 3x³y + 4x²y³ - 5xy + 8 with respect to x, and with respect to y d) Find the Laplace transform of f(t) = 3 sinh 2t Complete the Codes: clear clc Blank 1 x ty =====Given Equations== fa Blank 2; fb = sin (2*x) *Blank 3; fc = 3* (x^3) *y+4* (x^2) * (y^3) -5*x*y+8; fd = 3*Blank 4; dfax = diff (fa, Blank 5) dfay = Blank 6fa, 'y') d2fb = Blank 72) ifcx int (Blank 8) ifcy = int (fc, Blank 9) lapfd = Blank 10 (fd) Blank 1 Solutions Blank 3 Blank 2 Add your answer Blank 4 Add your answer Add your answer Add your answer Blank 5 Add your answer Blank 6 Add your answer Blank 7 Add your answer Blank 8 Add your answer Blank 9 Add your answer Blank 10 Add your answer