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(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.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(9) (a) Find the equation of the tangent plane P to the paraboloid z = r² + y² at (1, 2, 5). (b) Find the parametric equation of the line L with direction vector the normal vector of P obtained in (a). (c) Find the two intersection points of L with the ellipsoid z = 2² + y².
Transcribed Image Text:(9) (a) Find the equation of the tangent plane P to the paraboloid z = r² + y² at (1, 2, 5). (b) Find the parametric equation of the line L with direction vector the normal vector of P obtained in (a). (c) Find the two intersection points of L with the ellipsoid z = 2² + y².
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