(a) Find parametric equations for the curve of intersectionof the circular cylinder x2 +

Chapter 12, Problem 49

(choose chapter or problem)

(a) Find parametric equations for the curve of intersection of the circular cylinder \(x^{2}+y^{2}=9\) and the parabolic cylinder \(z=x^{2}\) in terms of a parameter \(t\) for which \(x=3 \cos t\).

(b) Use a graphing utility to generate the curve of intersection in part (a).

Equation Transcription:

Text Transcription:

x^2+y^2=9

z=x^2

t

x=3 cos t

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