Find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point. Surfaces: x + y² + 2z = 15, Point: (4,1,5) x = 4

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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Find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point.
Surfaces: x + y² + 2z = 15,
Point:
(4,1,5)
Choose the correct answer below.
X = 4
O A. x = 4, y = 1 + 2t, z = 5 + 2t
B. X= 4, y = 1-2t, z = 5 - 2t
OC. x=4+t, y = 1 + 2t, z = 5-2t
O D. x = 4, y = 1 + 2t, z = 5 - 2t
Transcribed Image Text:Find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point. Surfaces: x + y² + 2z = 15, Point: (4,1,5) Choose the correct answer below. X = 4 O A. x = 4, y = 1 + 2t, z = 5 + 2t B. X= 4, y = 1-2t, z = 5 - 2t OC. x=4+t, y = 1 + 2t, z = 5-2t O D. x = 4, y = 1 + 2t, z = 5 - 2t
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