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9. Consider the function == f(0, y)=√-V. (a) What points (x, y) are in the domain of this function? Sketch a graph of the ry-plane showing the regions that are in the domain of this function. (Hint: try some points. (1,1) is in the domain, but (-1,1) is not.) (b) Find the equations of the level curves for z = 0, z = 1, and z = 2. (Can z ever be negative?) (c) Sketch a contour diagram for this function. (d) Sketch a graph of this function.

9. Consider the function == f(0, y)=√-V. (a) What points (x, y) are in the domain of this function? Sketch a graph of the ry-plane showing the regions that are in the domain of this function. (Hint: try some points. (1,1) is in the domain, but (-1,1) is not.) (b) Find the equations of the level curves for z = 0, z = 1, and z = 2. (Can z ever be negative?) (c) Sketch a contour diagram for this function. (d) Sketch a graph of this function.

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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9. Consider the function = f(0,y) = √ - y. (a) What points (x, y) are in the domain of this function? Sketch a graph of the au-plane showing the regions that are in the domain of this function. (Hint: try some points. (1, 1) is in the domain, but (-1,1) is not.) (b) Find the equations of the level curves for z = 0, z = 1, and z = 2. (Can z ever be negative?) (c) Sketch a contour diagram for this function. (d) Sketch a graph of this function.
Transcribed Image Text:9. Consider the function = f(0,y) = √ - y. (a) What points (x, y) are in the domain of this function? Sketch a graph of the au-plane showing the regions that are in the domain of this function. (Hint: try some points. (1, 1) is in the domain, but (-1,1) is not.) (b) Find the equations of the level curves for z = 0, z = 1, and z = 2. (Can z ever be negative?) (c) Sketch a contour diagram for this function. (d) Sketch a graph of this function.
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