Let E Be the Part of the Solid Ellipsoid $x ^ { 2 } + y ^ { 2 } + 4 z ^ { 2 } \leq 9$

Essay

Let E be the part of the solid ellipsoid $x ^ { 2 } + y ^ { 2 } + 4 z ^ { 2 } \leq 9$ that lies in the first octant above
the plane z = 1.(a) Express the triple integral $\iiint _ { Z } \frac { y } { z } d V$ as an iterated integral in rectangular coordinates.(b) Express the triple integral $\iiint _ { Z } \frac { y } { z } d V$ as an iterated integral in cylindrical coordinates.(c) Express the triple integral $\iiint _ { Z } \frac { y } { z } d V$ as an iterated integral in spherical coordinates.