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Evaluate Tf(x,y,z)dV\iiint _ { T } f ( x , y , z ) d V

Question 57

Multiple Choice

Evaluate Tf(x,y,z) dV\iiint _ { T } f ( x , y , z ) d V where f(x,y,z) =7yf ( x , y , z ) = 7 y and T is the region bounded by the paraboloid y=x2+z2y = x ^ { 2 } + z ^ { 2 } and the plane y=1y = 1


A) 73\frac { 7 } { 3 } π\pi
B) 17\frac { 1 } { 7 } π\pi
C) 493\frac { 49 } { 3 } π\pi
D) 77 π\pi

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