Chapter 14.6, Problem 27E

(a)

To determine

To graph: The solid whose volume is represented by the iterated integral ${\displaystyle \underset{0}{\overset{4}{\int }}{\displaystyle \underset{0}{\overset{(4-x)/2}{\int }}{\displaystyle \underset{0}{\overset{\left(12-3x-6y\right)/4}{\int }}dzdy}}}dx$.

(b)

To determine

The triple integral ${\displaystyle \underset{0}{\overset{4}{\int }}{\displaystyle \underset{0}{\overset{(4-x)/2}{\int }}{\displaystyle \underset{0}{\overset{\left(12-3x-6y\right)/4}{\int }}dzdy}}}dx$ in the provided order of integration $dydxdz$.