4x2 + 4y? + 122 = 9 and the point P = (1, 1, 1) on this surface. A. Starting with the equation x =1+ 8t, find equations for y and z which combine with this equation to give parametric equations for the normal line through P. y = Note: Your answers should be expressions of t; e.g. "3x - 4y" B. Find an equation for the tangent plane through P. = Z Note: Your answers should be expressions of x and y; e.g. "3xy + 2y"

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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Consider the surface:

4a? + 4y? + 12? = 9
and the point P = (1, 1, 1) on this surface.
A. Starting with the equation x =1+ 8t, find equations for y and z which combine with this equation to give parametric equations for the normal line through P.
y =
= Z
Note: Your answers should be expressions of t; e.g. "3x - 4y"
B. Find an equation for the tangent plane through P.
z =
Note: Your answers should be expressions of x and y; e.g. "3xy + 2y"
Transcribed Image Text:4a? + 4y? + 12? = 9 and the point P = (1, 1, 1) on this surface. A. Starting with the equation x =1+ 8t, find equations for y and z which combine with this equation to give parametric equations for the normal line through P. y = = Z Note: Your answers should be expressions of t; e.g. "3x - 4y" B. Find an equation for the tangent plane through P. z = Note: Your answers should be expressions of x and y; e.g. "3xy + 2y"
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