For each function given below in (i)-(iii), perform the following steps in Mathematica (do not forget to comment/text your steps). (i) f(x, y) = x sin (2y) + y sin 2x (ii) f(x, y) = (sin x)(cos y)e-√²+y²/8 (iii) f(x, y) = y² + y³ – x³ (a) Plot the surface z = f(x, y) (you can use either ContourPlot3D or Plot3D, make sure to use the proper parameters in either case, use "Help"). Choose appropriate range for the variables so that the graph features are clearly seen in the figure. (b) Plot several level curves of f(x, y) using Contour Plot.

For each function given below in (i)-(iii), perform the following steps in Mathematica (do not forget to comment/text your steps). (i) f(x, y) = x sin (2y) + y sin 2x (ii) f(x, y) = (sin x)(cos y)e-√²+y²/8 (iii) f(x, y) = y² + y³ – x³ (a) Plot the surface z = f(x, y) (you can use either ContourPlot3D or Plot3D, make sure to use the proper parameters in either case, use "Help"). Choose appropriate range for the variables so that the graph features are clearly seen in the figure. (b) Plot several level curves of f(x, y) using Contour Plot.

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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