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Find an Equation of the Tangent Plant to the Parametric x=uv,y=u+v,z=u2x = u - v , y = u + v , z = u ^ { 2 }

Question 137

Multiple Choice

Find an equation of the tangent plant to the parametric surface x=uv,y=u+v,z=u2x = u - v , y = u + v , z = u ^ { 2 } at the point (0,2,1) ( 0,2,1 ) .


A) x+y+z=3x + y + z = 3

B) x+yz=1x + y - z = 1
C) x+y+2z=4x + y + 2 z = 4
D) x+y2z=0x + y - 2 z = 0
E) x+2y+z=5x + 2 y + z = 5
F) x2y+z=3x - 2 y + z = - 3

G) 2x+y+z=32 x + y + z = 3

H) 2x+yz=12 x + y - z = 1

Correct Answer:

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