Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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.
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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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Step 1: State the problem
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Step 2: (a) Domain of f and sketching the graph
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Step 3: (b) We find the equations of the level curves for z = 0, z = 1, and z = 2
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Step 4: (c) We Sketch a contour diagram for this function f
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