The volume of the surface bounded by the graph of $z = \frac { 1 } { x } + \frac { 1 } { y }$ with $1 \leq x \leq 2,1 \leq y \leq 2$ is

A) $\ln 2$
B) $\ln 4$
C) $\ln 3$
D) $\ln \frac { 1 } { 4 }$
E) $\frac { \ln 3 } { 2 }$

Question

The volume of the surface bounded by the graph of $z = \frac { 1 } { x } + \frac { 1 } { y }$ with $1 \leq x \leq 2,1 \leq y \leq 2$ is

A) $\ln 2$
B) $\ln 4$
C) $\ln 3$
D) $\ln \frac { 1 } { 4 }$
E) $\frac { \ln 3 } { 2 }$

Quizplus · Accepted Answer

The volume is calculated by integrating the function $z = \frac{1}{x} + \frac{1}{y}$ over the region $1 \leq x \leq 2, 1 \leq y \leq 2$. The double integral evaluates to $\ln 4$.

The Volume of the Surface Bounded by the Graph Of z