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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.3: Trigonometric Functions Of Real Numbers

Problem 77E

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