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1. Find the domain and level curves for each of the following. (a) z = 1+x? + y3 (b) z = Va? – y - 3 %3D

1. Find the domain and level curves for each of the following. (a) z = 1+x? + y3 (b) z = Va? – y - 3 %3D

Calculus: Early Transcendentals
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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Please explain how to do domains of multi variable functions and the process of answering these questions.
1. Find the domain and level curves for each of the following. (a) z = 1+a? + y (b) z = v Va2 – y – 3
Transcribed Image Text:1. Find the domain and level curves for each of the following. (a) z = 1+a? + y (b) z = v Va2 – y – 3
Final Answers: (a) domain= {(x, y) : x E R, y E R} xy level curves: y = (c - 1- x²)3 %3D xz level curves: z = 1+ x² + c³ yz level curves: z = 1+c² + y³ (b) domain= {(x, y) : x E R, y E R, x² – 3 2 y} xY level curves: y = x2 – c² - 3 xz level curves: z = Vx? – c – 3 yz level curves: z = V2 - y- 3
Transcribed Image Text:Final Answers: (a) domain= {(x, y) : x E R, y E R} xy level curves: y = (c - 1- x²)3 %3D xz level curves: z = 1+ x² + c³ yz level curves: z = 1+c² + y³ (b) domain= {(x, y) : x E R, y E R, x² – 3 2 y} xY level curves: y = x2 – c² - 3 xz level curves: z = Vx? – c – 3 yz level curves: z = V2 - y- 3
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