Let z = (1+z)√√/50 — x² − y². - (A) Calculate the equation of the tangent plane at x = 3, y = 4. (B) Calculate the equation of the tangent plane at x = -4, y = 3. (C) Calculate the equation of the tangent plane at x = 0, y = 0. (D) Calculate the point of intersection of those three tangent planes.

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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Let z = (1+x) √/50- r² - y².
(A) Calculate the equation of the tangent plane at x = 3, y = 4.
(B) Calculate the equation of the tangent plane at x = -4, y = 3.
(C) Calculate the equation of the tangent plane at x = 0, y = 0.
(D) Calculate the point of intersection of those three tangent planes.
Transcribed Image Text:Let z = (1+x) √/50- r² - y². (A) Calculate the equation of the tangent plane at x = 3, y = 4. (B) Calculate the equation of the tangent plane at x = -4, y = 3. (C) Calculate the equation of the tangent plane at x = 0, y = 0. (D) Calculate the point of intersection of those three tangent planes.
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