Find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point: Surfaces: x +y? + 2z = 4, x = 1 Point: (1, 1, 1)

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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2. Find parametric equations for the line tangent to the curve of intersection of the surfaces at
the given point:
Surfaces:
x + y? + 2z = 4,
x = 1
Point:
(1, 1, 1)
Hint: The line should be perpendicular to both the surfaces, and hence in the direction of the
"cross product' of their respective gradients.
Transcribed Image Text:2. Find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point: Surfaces: x + y? + 2z = 4, x = 1 Point: (1, 1, 1) Hint: The line should be perpendicular to both the surfaces, and hence in the direction of the "cross product' of their respective gradients.
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