(9) (a) Find the equation of the tangent plane P to the paraboloid z = = x² + y² at (1, 2,5). (b) Find the parametric equation of the line Z with direction vector the normal vector of P obtained in (a). (c) Find the two intersection points of L with the ellipsoid z = ² + y².
(9) (a) Find the equation of the tangent plane P to the paraboloid z = = x² + y² at (1, 2,5). (b) Find the parametric equation of the line Z with direction vector the normal vector of P obtained in (a). (c) Find the two intersection points of L with the ellipsoid z = ² + y².
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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