(requires JavaScript)
Identify the surface with the vector equation
ruv=2⁢sinu⁢i+3⁢cosu⁢j+v⁢k
where 0≤v≤2 .
Match the equations with the graphs, explain.
Match the shown surfaces with their parametrizations. Justify your choices.
r1uv=sinu⁢cosvsinu⁢sinvcosu
r2uv=uvu2−v2
r3uv=u⁢cosvuu⁢sinv
r4uv=ueu⁢cosveu⁢sinv
r5uv=u1+u2⁢cosv1+u2⁢sinv
r6uv=uvu3+v3
Surface 1.
Surface 2.