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(1) Draw contour plots for the following functions. Your contour plot must include at least 6 level curves (contours) including positive and negative values for the level k. (i) f(x, y) = x²y (2) For the function in part (i) of the previous problem, draw vertical cross-sections of its graph at x = k and y = k for at least 5 values of k.

(1) Draw contour plots for the following functions. Your contour plot must include at least 6 level curves (contours) including positive and negative values for the level k. (i) f(x, y) = x²y (2) For the function in part (i) of the previous problem, draw vertical cross-sections of its graph at x = k and y = k for at least 5 values of k.

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) Draw contour plots for the following functions. Your contour plot must include at least 6 level curves (contours) including positive and negative values for the level k. (i) ƒ(x, y) = x²y (2) For the function in part (i) of the previous problem, draw vertical cross-sections of its graph at x = k and y = k for at least 5 values of k.
Transcribed Image Text:(1) Draw contour plots for the following functions. Your contour plot must include at least 6 level curves (contours) including positive and negative values for the level k. (i) ƒ(x, y) = x²y (2) For the function in part (i) of the previous problem, draw vertical cross-sections of its graph at x = k and y = k for at least 5 values of k.
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