Find for the following function: dx 1- y = log2 cosh(2x) 2- y = e(x³+1) 3- xy + x²y = 3 at x = 1 4- y = 2sec(tanx²) 5- y = cos s-

The following problems can be solved by writing commands in the command window.

N i N i N TẠC = N TBD = N TBE= N

(1 5 -4 Given the matrix A = 1-3 4 2 2 4 (a) Find the determinant of A. [4 marks] (b) Calculate the inverse of A. [8 marks] (c) Hence find the general solution of the linear simultaneous equations x+5y -4z -w = 3 x-3y +4z +w = 3 2x + 2y +4z = 10 [6 marks] (d) Find the eigenvalues and eigenvectors of A. [12 marks]