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