Question

Find a vector function that represents the curve of intersection of the two surfaces. The cylinder $x^2+y^2=4$ and the surface $z=x y$ 

    Find a vector function that represents the curve of intersection of the two surfaces.
The cylinder $x^2+y^2=4$ and the surface $z=x y$
Single Variable Calculus: Early Transcendentals
Single Variable Calculus: Early Transcendentals
James Stewart,… 9th Edition
Chapter 13, Problem 50 ↓
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Find a vector function that represents the curve of intersection of the two surfaces. The cylinder $x^2+y^2=4$ and the surface $z=x y$
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Transcript

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00:01 For the cylinder, we have x squared plus y squared equals 4, and the surface, z equals xy.
00:12 For the cylinder, think circle of radius 2 in the xy plane, and the standard parameterization would be x equals 2 cosine t and y equals 2 sine t.
00:26 Plug these into z equals xy, so z equals 2 cosine t...
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