Find an equation for the tangent plane and parametric equations for the normal line to the surface at the point P. z = x2 + y?; P(-2,-2, 8)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 4ECP: Find a set of parametric equations to represent the graph of y=x2+2, using each parameter. a. t=x b....
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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 =
x? + y; P(-2,-2,8)
NOTE: Enter the exact answer.
Tangent Plane:
Normal line:
x(t)
y(t) =
z(t) = 8 – 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 = x? + y; P(-2,-2,8) NOTE: Enter the exact answer. Tangent Plane: Normal line: x(t) y(t) = z(t) = 8 – t
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