Find the Area of the Surface Given By $\mathbf { r } ( u , v ) = 9 u \mathbf { i } - v \mathbf { j } + v \mathbf { k } \text {, where }$

Multiple Choice

Find the area of the surface given by $\mathbf { r } ( u , v ) = 9 u \mathbf { i } - v \mathbf { j } + v \mathbf { k } \text {, where }$ $0 \leq u \leq 2$ and $0 \leq v \leq 4$

A) $81 \sqrt { 2 }$
B) $38 \sqrt { 2 }$
C) $72 \sqrt { 2 }$
D) $45 \sqrt { 2 }$
E) $22 \sqrt { 2 }$