Find equations of the tangent plane and normal line to the surface x = 1y2+5z2-22 at the point (7, -3, 2).Tangent Plane: (make the coefficient of x equal to 1).?=0Normal line <7,?,?>+t<1,?,?>

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Math

Calculus

,?,?>

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.6: Parametric Equations

Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...

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Question

Find equations of the tangent plane and normal line to the surface x = 1y²+5z²-22 at the point (7, -3, 2).
Tangent Plane: (make the coefficient of x equal to 1).

?=0

Normal line <7,?,?>

+t<1,?,?>

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