(A) Sketch the Solid Whose Volume Is Given by the Iterated

Essay

(a) Sketch the solid whose volume is given by the iterated integral $\int _ { 0 } ^ { 2 } \int _ { 0 } ^ { 2 - y } \int _ { 0 } ^ { 4 - y ^ { 2 } } d x d z d y$ .(b) Rewrite the integral in part (a) as an equivalent iterated integral (or integrals) in the order dz, dx, dy.(c) Rewrite the integral in part (a) as an equivalent iterated integral (or integrals) in the order dy, dx, dz.