Find an equation for the tangent plane and parametric equations for the normal line to the surface at the point P. z = x² + y²; P(2, 4, 20) NOTE: Enter the exact answer. Tangent Plane: 2 Normal line: x(t) = y(t) = z(t) = 20 - t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Find an equation for the tangent plane and parametric equations
for the normal line to the surface at the point P.
z = x² + y²2; P(2, 4, 20)
NOTE: Enter the exact answer.
Tangent Plane:
Normal line:
x(t)
||
y(t)
z(t) = 20-t
=
Transcribed Image Text:Find an equation for the tangent plane and parametric equations for the normal line to the surface at the point P. z = x² + y²2; P(2, 4, 20) NOTE: Enter the exact answer. Tangent Plane: Normal line: x(t) || y(t) z(t) = 20-t =
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