(a) Find the equation of the plane containing the lines. x=2+t Ly=3-2t |z=1-3t x=1+3s L₂y=1-2s z = 1+5s (b) Find an equation for the tangent plane to the surface x²yz = 12 at the point (1,6,2).

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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(a) Find the equation of the plane containing the lines.
x=2+t
Ly=3-2t
|z=1-3t
x=1+3s
L₂y=1-2s
z = 1+5s
(b) Find an equation for the tangent plane to the surface x²yz = 12 at the point (1,6,2).
Transcribed Image Text:(a) Find the equation of the plane containing the lines. x=2+t Ly=3-2t |z=1-3t x=1+3s L₂y=1-2s z = 1+5s (b) Find an equation for the tangent plane to the surface x²yz = 12 at the point (1,6,2).
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