x(a) Find an equation of the tangent plane to the surface at the given point.Z = x² - y², (3, 2, 5)(b) Find a set of symmetric equations for the normal line to the surface at the given point.x + 3 y + 2 z + 56-4-1OO=OxZ-13 = y2=Z-5y=6 -4===x-3_y-2_z-56-4 -1Ox + 3 = y + 2 = z +5=

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Answered: (a) Find an equation of the tangent…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

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(a) Find an equation of the tangent plane to the surface at the given point. z = x² - y², (3, 2, 5) (b) Find a set of symmetric equations for the normal line to the surface at the given point. x + 3 6 y + 2 z +5 -4 -1 = y Z 02-2014 - 31/1200 = = -1 Ox 3 = y2=Z-5