The accompanying figure shows the intersection of the surfacesz = 8 x2 y2 and 4x + 2y z
Chapter 13, Problem 32(choose chapter or problem)
The accompanying figure shows the intersection of the surfaces \(z=8-x^{2}-y^{2}\) and \(4 x+2 y-z=0\).
(a) Find parametric equations for the tangent line to the curve of intersection at the point \((0,2,4)\).
(b) Use a CAS to generate a reasonable facsimile of the figure. You need not generate the colors, but try to obtain a similar viewpoint.
Equation Transcription:
Text Transcription:
z=8-x^2 -y^2
4x+2y-z=0
(0, 2, 4)
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