b) Consider z = z(x, y) as a function of x and y, so z(1, 0) = -1. Use the approximation of the surface by its tangent plane to approximate 21 = z(0.99, 0.02). c) Use your approximation of z1 from part b to evaluate g(0.99, 0.02, z1) to five decimal places. Your answer should be close to 3. Is it?

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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Currently need help with part b and part c

Part A was already answered (https://www.bartleby.com/questions-and-answers/a-compute-the-equation-of-the-tangent-plane-to-the-level-surface-9x-y-2-xy-2yz-3zx-3-dont-rou-1were-/d852afc6-18f6-42ac-aa27-8a7b369c0a5c)

a) Compute the equation of the tangent plane to the level surface
g(x, y, z) = x'y + 2y°z – 3z*x = 3
Don't round answers unless
at the point (1,0, – 1).
b) Consider z = z(x, y) as a function of x and y, so z(1,0) = -1. Use
the approximation of the surface by its tangent plane to approximate
21 = 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 your
own work.
Transcribed Image Text:a) Compute the equation of the tangent plane to the level surface g(x, y, z) = x'y + 2y°z – 3z*x = 3 Don't round answers unless at the point (1,0, – 1). b) Consider z = z(x, y) as a function of x and y, so z(1,0) = -1. Use the approximation of the surface by its tangent plane to approximate 21 = 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 your own work.
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