Find the Area of the Surface $$\mathbf { r } ( u , v ) = ( 5 u + 3 v + 4 ) \mathbf { i } + ( 2 u + 3 v + 4 ) \mathbf { j } + ( 4 u + 2 v + 8 ) \mathbf { k }$$

question 16

Multiple Choice

Find the area of the surface. The part of the plane $$\mathbf { r } ( u , v ) = ( 5 u + 3 v + 4 ) \mathbf { i } + ( 2 u + 3 v + 4 ) \mathbf { j } + ( 4 u + 2 v + 8 ) \mathbf { k }$$ ; $0 \leq u \leq 1$ , $0 \leq v \leq 5$

• A) \(5 \sqrt { 149 }\)
• B) \(\sqrt { 58 }\)
• C) \(\sqrt { 51 }\)
• D) \(2 \sqrt { 11 }\)

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