In Exercises 13–18, find parametric equations

Chapter 13, Problem 18E

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In Exercises 13-18, find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point.

Surfaces: $x^{2}+y^{2}=4, x^{2}+y^{2}-z=0$
Point: $(\sqrt{2}, \sqrt{2}, 4)$

Equation Transcription:

${x}^{2}\ +{\ y}^{2}\ =\ 4,\ {\ x}^{2}\ +{\ y}^{2}\ -\ z\ =\ 0$

$\ (\sqrt{2},\sqrt{2},4)$

Text Transcription:

x^2 + y^2 = 4, x^2 + y^2 - z = 0

(square root 2,square root 2,4)

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