Need help with a Multivariable question a) Compute the equation of the tangent plane to the level surfaceg(x, y, z) = x'y + 2y°z – 3z*x = 3Don't round answers unlessat the point (1,0, – 1).b) Consider z = z(x, y) as a function of x and y, so z(1,0) = -1. Usethe approximation of the surface by its tangent plane to approximate21 = z(0.99, 0.02).c) Use your approximation of z1 from part b to evaluate g(0.99, 0.02, zı)to five decimal places. Your answer should be close to 3. Is it?the instructions request approximations, or as part of checking yourown work.

Name: Need help with a Multivariable question a) Compute the equation of the
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Description: Need help with a Multivariable question a) Compute the equation of the tangent plane to the level surfaceg(x, y, z) = x'y + 2y°z – 3z*x = 3Don't round answers unlessat the point (1,0, – 1).b) Consider z = z(x, y) as a function of x and y, so z(1,0) =

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|a) Compute the equation of the tangent plane to the level surface g(z, y, 2) = r²y +2y°z – 3z*x = 3 Don't round answers unless at the point (1,0, – 1). the instructions request approximations, or as part of checking your OwD work.

|a) Compute the equation of the tangent plane to the level surface g(z, y, 2) = r²y +2y°z – 3z*x = 3 Don't round answers unless at the point (1,0, – 1). the instructions request approximations, or as part of checking your OwD work.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

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