(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
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7c5683f-2b50-4908-958c-57e55f0b80b7%2Fa5effc4c-961b-4a65-8b90-fbf32b570e08%2Fddkrn3_processed.jpeg&w=3840&q=75)
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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