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Which of the Following Is a Homogeneous Function?

A) f(x,y)=x32x2y+y3f ( x , y ) = x ^ { 3 } - 2 x ^ { 2 } y + y ^ { 3 }

Question 92

Multiple Choice

Which of the following is a homogeneous function?


A) f(x,y) =x32x2y+y3f ( x , y ) = x ^ { 3 } - 2 x ^ { 2 } y + y ^ { 3 }
B) f(x,y) =2x33xyy3f ( x , y ) = 2 x ^ { 3 } - 3 x y - y ^ { 3 }
C) f(x,y) =sin(xy) xf ( x , y ) = \sin ( x y ) - x
D) f(x,y) =2xx2y3+y2f ( x , y ) = 2 x - x ^ { 2 } y ^ { 3 } + y ^ { 2 }
E) f(x,y) =x2x2y3+y2f ( x , y ) = x ^ { 2 } - x ^ { 2 } y ^ { 3 } + y ^ { 2 }

Correct Answer:

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