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Find a parametric representation for the surface. The part of the plane z = x + 3 that lies inside the cylinder x2 + y2 = 9. (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of s and/or θ.)

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LammettHash

You can use

[tex]x=u\cos v[/tex]

[tex]y=u\sin v[/tex]

[tex]z=u\cos v+3[/tex]

with [tex]0\le u\le3[/tex] and [tex]0\le v\le2\pi[/tex].

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