Write a Double Integral That Represents the Surface Area Of f

Multiple Choice

Write a double integral that represents the surface area of $f ( x , y ) = 10 y + 9 x ^ { 2 } \text { over }$ the region R: triangle with vertices $( 0,0 ) , ( 4,0 ) , ( 4,4 )$ . Use a computer algebra system to evaluate the double integral. Round your answer to two decimal places.

A) $788.50$
B) $394.23$
C) $3,547.81$
D) $1,182.41$
E) $591.35$