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

question 61

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) \(22 \sqrt { 2 }\)

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