Find the Area of the Portion of the Surface $f ( x , y ) = 7 + \frac { 2 } { 3 } y ^ { \frac { 3 } { 2 } }$

question 69

Multiple Choice

Find the area of the portion of the surface $f ( x , y ) = 7 + \frac { 2 } { 3 } y ^ { \frac { 3 } { 2 } }$
that lies above the region $R = \{ ( x , y ) : 0 \leq x \leq 4,0 \leq y \leq 4 - x \}$ . Round your answer to two decimal places.

• A) \(0.05\)
• B) \(2.18\)
• C) \(11.97\)
• D) \(1.22\)
• E) \(12.51\)

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