Let D be the region determined by the inequalities...

This preview shows page 1 out of 1 page.

Homework #8 Math 23, Spring 2015 Due Thursday, April 2 or Friday, April 3 in class. 1. Let D be the region determined by the inequalities 4 x 2 + y 2 16 and x 0. Compute ZZ D ln ( x 2 + y 2 ) dA. 2. Determine the integral of f ( x, y, z ) = 3 over the region bounded by the parabolic cylinders y = x 2 and z = x 2 and the planes x = 1 2 y and z = 0. 3. Find the mass of the disk ( x - 1) 2 + y 2 1 if the density is ρ ( x, y ) = 2 + x . 4. Consider the following integral Z 2 0 Z 1 x/ 2 Z x 2 0 f ( x, y, z ) dz dy dx. (a) Rewrite this integral so that the inner most integral is with respect to z , the middle integral is with respect to

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture