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1. Sketch the graph of the surface z = - x^2 - y^2 + 1 by first sketching its level curves z = const.. Your graph should at least include the cases, z = 1, z = 0, z = -1, z = -2, and z = -3.2. 2. Do the same for x^2 -y^2 + z^2 = 1, with level curves y = 1, y= ±1, y = +3

1. Sketch the graph of the surface z = - x^2 - y^2 + 1 by first sketching its level curves z = const.. Your graph should at least include the cases, z = 1, z = 0, z = -1, z = -2, and z = -3.2. 2. Do the same for x^2 -y^2 + z^2 = 1, with level curves y = 1, y= ±1, y = +3

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Sketch the graph of the surface z = - x^2y^2 + 1 by first sketching its level curves z = const.. Your graph should at least include the cases, z = 1, z = 0, z = -1, z = -2, and z = -3. 2. 2. Do the same for x^2 -y^2 + z^2 = 1, with level curves y = 1, y= ±1, y = ±3
Transcribed Image Text:1. Sketch the graph of the surface z = - x^2y^2 + 1 by first sketching its level curves z = const.. Your graph should at least include the cases, z = 1, z = 0, z = -1, z = -2, and z = -3. 2. 2. Do the same for x^2 -y^2 + z^2 = 1, with level curves y = 1, y= ±1, y = ±3
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