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Find the Area of the Surface Given By z=f(x,y) over the region Rz = f ( x , y ) \text { over the region } R \text {. }

Question 40

Multiple Choice

Find the area of the surface given by z=f(x,y)  over the region Rz = f ( x , y ) \text { over the region } R \text {. } f(x,y) =32x+5yf ( x , y ) = 3 - 2 x + 5 y RR : square with vertices (0,0) ,(4,0) ,(4,4) ,(0,4) ( 0,0 ) , ( 4,0 ) , ( 4,4 ) , ( 0,4 )


A) 3043030 \sqrt { \frac { 4 } { 30 } }
B) 163116 \sqrt { 31 }
C) 166116 \sqrt { 61 }
D) 4304 \sqrt { 30 }
E) 163016 \sqrt { 30 }

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