#6 Let C be the curve of intersection of the surfaces, or rather graphs of the functions f(y)=4=x²=y² and g(x,y)=x+3y (a) Find the tangent plane to the graph of fat Po (2,-1,-1 (b) Find the tangent line to Cat Po (parametric equations). c) Find (unrelated to (a), (b)) the distance of the point Q(0,1,-2) to the (x=1-2t line with param. equations: y=1+t z=-2+2t

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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#6 Let C be the curve of intersection
of the surfaces, or rather graphs of
the functions f(y)=4=x²=y² and
g(x,y)=x+3y
(a) Find the tangent plane to the
graph of fat Po (2,-1,-1
(b) Find the tangent line to Cat
Po (parametric equations).
c) Find (unrelated to (a), (b)) the distance
of the point Q(0,1,-2) to the (x=1-2t
line with param. equations:
y=1+t
z=-2+2t
Transcribed Image Text:#6 Let C be the curve of intersection of the surfaces, or rather graphs of the functions f(y)=4=x²=y² and g(x,y)=x+3y (a) Find the tangent plane to the graph of fat Po (2,-1,-1 (b) Find the tangent line to Cat Po (parametric equations). c) Find (unrelated to (a), (b)) the distance of the point Q(0,1,-2) to the (x=1-2t line with param. equations: y=1+t z=-2+2t
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