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A Parameterization Of z=5x2z = 5 x ^ { 2 }

Question 107

Multiple Choice

A parameterization of z=5x2z = 5 x ^ { 2 } is


A) x(u,v) =u,y(u,v) =3vx ( u , v ) = u , y ( u , v ) = 3 v z(u,v) =5v2z ( u , v ) = 5 v ^ { 2 }
B) x(u,v) =ux ( u , v ) = u y(u,v) =2vy ( u , v ) = 2 v z(u,v) =5v2z ( u , v ) = 5 v ^ { 2 }
C) x(u,v) =ux ( u , v ) = u y(u,v) =vy ( u , v ) = v z(u,v) =5v2z ( u , v ) = 5 v ^ { 2 }
D) x(u,v) =ux ( u , v ) = u y(u,v) =vy ( u , v ) = v z(u,v) =5u2z ( u , v ) = 5 u ^ { 2 }
E) x(u,v) =ux ( u , v ) = u y(u,v) =vy ( u , v ) = v z(u,v) =5u2z ( u , v ) = - 5 u ^ { 2 }

Correct Answer:

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