$\text { Write a double integral that represents the surface area of } f ( x , y ) = 12 - x ^ { 2 } - y ^ { 2 }$

question 93

Multiple Choice

$\text { Write a double integral that represents the surface area of } f ( x , y ) = 12 - x ^ { 2 } - y ^ { 2 }$ over the region $R : R = \{ ( x , y ) : 0 \leq x \leq 4,0 \leq y \leq 4 \}$ . Use a computer algebra system to evaluate the double integral. Round your answer to four decimal places.

• A) \(4.5062\)
• B) \(140.1398\)
• C) \(37.8613\)
• D) \(99.5824\)
• E) \(13.6778\)

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