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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

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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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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