Question: Problem 2: (4 marks) Match the equations with the graphs labelled A-D.(A)(B)(C)(D)(a) vec(r)(u,v)=(:ucos(v),usin(v),v:)(b) vec(r)(u,v)=(:ucos(v),usin(v),sin(u):),-u(c) vec(r)(u,v)=(:sin(v),cos(u)sin(2v),sin(u)sin(2v):)(d) vec(r)(u,v)=(:(1-u)(3+cos(v))cos(4u),(1-u)(3+cos(v))sin(4u),(3u+(1-u)sin(v)):)
Problem 2: (4 marks) Match the equations with the graphs labelled A-D.(A)(B)(C)(D)(a) vec(r)(u,v)=(:ucos(v),usin(v),v:)(b) vec(r)(u,v)=(:ucos(v),usin(v),sin(u):),-u(c) vec(r)(u,v)=(:sin(v),cos(u)sin(2v),sin(u)sin(2v):)(d) vec(r)(u,v)=(:(1-u)(3+cos(v))cos(4u),(1-u)(3+cos(v))sin(4u),(3u+(1-u)sin(v)):)
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