Mathematics

 

 

 

Homework 5 Due October 30, 2017 Late homework will not be graded 1. Let f(x,y) = In (1 2x) ,cosysin 2x). Determine the matrix. (in the standard basis of R2), for Df(x,y) then evaluate D f(x,y)(h,k)
2. Let f (x, y) = (x2 — y,x + y2) and g(u, v) + v). (a) Determine a formula for f o g(u,v) and use it to give the matrix, (in the standard basis of R2). for Df o y(u,u).

 

C? /-2I (x2y ± y2 x) dxdy 2. Evaluate the integral J _110