Question

Please show all steps. Thank you, need to verify what I'm doing wrong.

1. (20 points) Suppose B is the solid region inside the sphere 2+ y2 +2 4, above the plane = 1, and in the first octant (z, y, z 0)、z, y and z are measured in meters and the density over B is given by the function p(z, y, z)-(12 + y2 + ?)-1 kg/m3 (a) Set up and write the triple integral that gives the mass of B using Cartesian coordinates and the order of integration d:drdy. Include sketches/diagrams showing how you used the region B to find your limits of integration. Do not evaluate the integral. (b) Set up and write the triple integral that gives the mass of B using cylindrical coordinates and the order of integration d:drde. Include sketches/diagrams showing how you used the region B to find your limits of integration. Do not evaluate the integral. (c) Set up and write the triple integral that gives the mass of B using spherical coordinates and the order of integration dpdódd. Include sketches/diagrams showing how you used the region B to find your limits of integration. Do not evaluate the integral. (d) In (a) (c) you have written 3 different integrals for the mass of this solid. Pick one of the integrals, and use it to compute the mass of this solid. Show all work to compute the integral by hand.

Answer 1

solution

the data /u 「唄 (c) mass, m &u-H -Thank You.