   Chapter 15.6, Problem 28E

Chapter
Section
Textbook Problem

Sketch the solid whose volume is given by the iterated integral.28. ∫ 0 2 ∫ 0 2 − y ∫ 0 4 − y 2 d x   d z   d y

To determine

To sketch: The solid whose volume is given by 0202y04y2dxdzdy .

Explanation

Observe the boundaries of solid from the given integral and let the region be E where E={(x,y,z)|0x4y2,0y2,0z2y} .

From the region write as,

x=4y2 (1)

y=2 (2)

z=2y (3)

To get the vertex of x plane, substitute y=0 and z=0 in (1) and get x=4

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