Chapter 13.1, Problem 20ES

These exercises involve functions of three variables.

Find $g(u(x,y,z),v(x,y,z),w(x,y,z))\text{if g(x,}\text{y,}\text{z)}=z\sin xy,u(x,y,z)=x^2{z}^3,v(x,y,z)=\pi xyz,\text{and}\omega (x,y,z)=xy/z.$