Use y³ + x²y + x² − 3y² = 0 to answer the following questions. given that y varies with respect to z. y that the point (-1,1) is on the curve y³ + z²y + x² − 3y² = 0.

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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Use y³ + x²y + x² - 3y² = 0 to answer the following questions.
(a) Find given that y varies with respect to z.
(b) Verify that the point (-1,1) is on the curve y³ +2²y + x² − 3y² = 0.
(c) Find the equation of the line tangent to the curve y³ +2²y+z²-3y² = 0 at the point (-1,1).
Transcribed Image Text:Use y³ + x²y + x² - 3y² = 0 to answer the following questions. (a) Find given that y varies with respect to z. (b) Verify that the point (-1,1) is on the curve y³ +2²y + x² − 3y² = 0. (c) Find the equation of the line tangent to the curve y³ +2²y+z²-3y² = 0 at the point (-1,1).
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