Question

Write iterated integrals for each of the given caleu- Question 7 (5 pts each] lations. Do not evaluate. (A) The integral of f(x,y) 32 + 12y over the domain D: +20 (B) The integral of f(x, y,) first octant and below the graph z 8-y 2 (C) The mass of an object occupying the region bounded between the sur- faces 2 +y +2216 and 2Vr+y (all dimensions in meters), with a variable density of δ(z, y, z) 8r2 + 8y2 + z (include units in your 12r + z over the volume contained in the answer (A) Use polar coordinates: (3r2 cos (0) + 12r sin(0))r dr de (B) Use Cartesian, with z first and r last: (12r +2)dzdydr Jo Jo (C) Use Cylindrical or spherical. Account for the difference in units. In Spherical: 2x clan(1/2) in kg.

solutions are labeled a to c at the bottom. can you explain what the r stands for. I'm assuming x2 + y2

Answer 1