(a) Write down an equation for the tangent plane to the ellipsoid 2a2 + 3y? + z? = 25 at the point (3, 1, 2). (b) Use linear approximation to estimate the z-coordinate of a point on the ellipsoid whose x-coordinate is 3.01 and whose y-coordinate is 1.02.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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(a) Write down an equation for the tangent plane to the ellipsoid
2x? + 3y? + 22 = 25 at the point (3, 1, 2).
(b) Use linear approximation to estimate the z-coordinate of a point on the ellipsoid
whose x-coordinate is 3.01 and whose y-coordinate is 1.02.
Transcribed Image Text:(a) Write down an equation for the tangent plane to the ellipsoid 2x? + 3y? + 22 = 25 at the point (3, 1, 2). (b) Use linear approximation to estimate the z-coordinate of a point on the ellipsoid whose x-coordinate is 3.01 and whose y-coordinate is 1.02.
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