Use a computer algebra system to find the exact volume of the solid obtained by rotating the region bounded by the given curves about the specified line.
$$y = 4 x , y = 4 x e ^ { 1 - x / 2 } , \text { about } y = 16$$

Name: Use a computer algebra system to find the exact volume of the solid obtained by rotating the region bounded by the given curves about the specified line. \[y = 4 x , y = 4 x e ^ { 1 - x / 2 } , \text { about } y = 16\]
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Question

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The Answer is

16 \pi \left( - 2 e ^ { 2 } + 32 e - \frac { 202 } { 3 } \right)

Use a Computer Algebra System to Find the Exact Volume y=4x,y=4xe1−x/2, about y=16y = 4 x , y = 4 x e ^ { 1 - x / 2 } , \text { about } y = 16y=4x,y=4xe1−x/2, about y=16

Use a Computer Algebra System to Find the Exact Volume $y = 4 x , y = 4 x e ^ { 1 - x / 2 } , \text { about } y = 16$