Which of the following is the graph of the given parametric surface?

Name: Which of the following is the graph of the given parametric surface?
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Question

Quizplus · Accepted Answer

The parametric surface can be expressed as 
x = ucos(v)
y = usin(v)
z = u^2
Using substitutions u = rcos(theta) and v = rsin(theta) gives
x = rcos(theta)cos(rsin(theta)) 
y = rcos(theta)sin(rsin(theta))
z = r^2cos^2(theta)
This is the parametric equation for a paraboloid. 
Option C shows the paraboloid shape.

Which of the Following Is the Graph of the Given