Which of the following sets of parametric equations is for the surface obtained by rotating the about the z-axis? Note: Parametric surfaces can depend on any two curve x = 10+z2 variables, doesn't have to be just on u and v. sin u y = cos u = X 10+u2 z = v for v E R and 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Which of the following sets of parametric equations is for the surface obtained by rotating the
about the z-axis? Note: Parametric surfaces can depend on any two
curve x =
10+z2
variables, doesn't have to be just on u and v.
sin u
cos U
z = v for v E R and 0 <u < 2n.
10+u2
10+u2
sin u
cos u
z = u for v E R and 0 < u < 2n.
10+02 y =
10+v2
None of the given choices
sin 0
10+z2
cos 6
y =
z = z for z e R and 0 <0 < 2n
10+z2
X U, y =
Cos 0
sin 6
10+02
for v ER and 0 <o 2n.
10+2 Z=
Transcribed Image Text:Which of the following sets of parametric equations is for the surface obtained by rotating the about the z-axis? Note: Parametric surfaces can depend on any two curve x = 10+z2 variables, doesn't have to be just on u and v. sin u cos U z = v for v E R and 0 <u < 2n. 10+u2 10+u2 sin u cos u z = u for v E R and 0 < u < 2n. 10+02 y = 10+v2 None of the given choices sin 0 10+z2 cos 6 y = z = z for z e R and 0 <0 < 2n 10+z2 X U, y = Cos 0 sin 6 10+02 for v ER and 0 <o 2n. 10+2 Z=
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