Find the volume of the solid bounded by the surface $z = 5 + ( x - 4 ) ^ { 2 } + 2 y$ and the planes $x = 3 , y = 4$ and coordinate planes.
Select the correct answer.
A) $V = 768$
B) $V = 256$
C) $V = 384$
D) $V = 192$
E) $V = 576$

Question

Quizplus · Accepted Answer

The volume is found by integrating the function $z = 5 + (x - 4)^2 + 2y$ over the region bounded by $0 \leq x \leq 3$, $0 \leq y \leq 4$. The integral evaluates to 192.

Find the Volume of the Solid Bounded by the Surface z=5+(x−4)2+2yz = 5 + ( x - 4 ) ^ { 2 } + 2 yz=5+(x−4)2+2y

Find the Volume of the Solid Bounded by the Surface $z = 5 + ( x - 4 ) ^ { 2 } + 2 y$