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(Solved): Find a parameterization of the surface cut from the parabolic cylinder z=1-y^(2) by the planes x=2,x ...



Find a parameterization of the surface cut from the parabolic cylinder

z=1-y^(2)

by the planes

x=2,x=6

, and

z=0

. Choose the correct parameterization. A.

r(u,v)=(u)i (v)j (1-u^(2))k,2<=u<=6,-1<=v<=1

B.

r(u,v)=(u)i (v)j (1-v^(2))k,-1<=u<=1,2<=v<=6

c.

r(u,v)=(u)i (v)j (1-v^(2))k,2<=u<=6,-1<=v<=1

D.

r(u,v)=(u)i (v)d (1-u^(2))k,-1<=u<=1,2<=v<=6


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