Please solve the problems provided in the photo provided below Find an equation of the plane tangent and an equation of the line normal to the surface7z = 4x² - 2y at(-2,1,-2)Find all the critical points of z =minimum or saddle point.4+ Xx+2INy- xy. Identify each point as a local maximum orTFind the parametric equations of the tangent line to the curve of intersection of the surfacesx² - y² + z² = 17, 5x - 4y -z = 0 at (2,3,-2).

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Find an equation of the plane tangent and an equation of the line normal to the surface 7z = 4x² - 2y at (-2,1,-2)

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

Please solve the problems provided in the photo provided below

Find an equation of the plane tangent and an equation of the line normal to the surface
7z = 4x² - 2y at
(-2,1,-2)
Find all the critical points of z =
minimum or saddle point.
4
+ X
x
+
2
IN
y
- xy. Identify each point as a local maximum or
T
Find the parametric equations of the tangent line to the curve of intersection of the surfaces
x² - y² + z² = 17, 5x - 4y -z = 0 at (2,3,-2).

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