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

Question 231

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(a) Sketch the solid whose volume is given by the iterated integral 22x2404ydzdydx\int _ { - 2 } ^ { 2 } \int _ { x ^ { 2 } } ^ { 4 } \int _ { 0 } ^ { 4 - y } d z d y d x .(b) Rewrite the integral in part (a) as an equivalent iterated integral (or integrals) in the order dx, dz, dy.(c) Rewrite the integral in part (a) as an equivalent iterated integral (or integrals) in the order dy, dz, dx.

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