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Calculate 2fy2\frac { \partial ^ { 2 } f } { \partial y ^ { 2 } }

Question 73

Multiple Choice

Calculate 2fy2\frac { \partial ^ { 2 } f } { \partial y ^ { 2 } } , 2fxy\frac { \partial ^ { 2 } f } { \partial x y } and evaluate each at (5,7) ( 5,7 ) . f(x,y) =95016x+14y+6xyf ( x , y ) = 950 - 16 x + 14 y + 6 x y


A) 2fy2(5,7) =6\left. \frac { \partial ^ { 2 } f } { \partial y ^ { 2 } } \right| _ { ( 5,7 ) } = 6 , 2fxy(5,7) =0\left. \frac { \partial ^ { 2 } f } { \partial x y } \right| _ { ( 5,7 ) } = 0
B) 2fy2(5,7) =0\left. \frac { \partial ^ { 2 } f } { \partial y ^ { 2 } } \right| _ { ( 5,7 ) } = 0 , 2fxy(5,7) =0\left. \frac { \partial ^ { 2 } f } { \partial x y } \right| _ { ( 5,7 ) } = 0
C) 2fy2(5,7) =16\left. \frac { \partial ^ { 2 } f } { \partial y ^ { 2 } } \right| _ { ( 5,7 ) } = 16 , 2fxy{5,7) =14\left. \frac { \partial ^ { 2 } f } { \partial x y } \right| _ { \{ 5,7 ) } = 14
D) 2fy2(5,7) =6\left. \frac { \partial ^ { 2 } f } { \partial y ^ { 2 } } \right| _ { ( 5,7 ) } = 6 , 2fxy(5,7) =6\left. \frac { \partial ^ { 2 } f } { \partial x y } \right| _ { ( 5,7 ) } = 6
E) 2fy2(5,7) =0\left. \frac { \partial ^ { 2 } f } { \partial y ^ { 2 } } \right| _ { ( 5,7 ) } = 0 , 2fxy(5,7) =6\left. \frac { \partial ^ { 2 } f } { \partial x y } \right| _ { ( 5,7 ) } = 6

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