Using Maple 11 for calculus problems

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    Calculus Maple
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SUMMARY

This discussion focuses on using Maple 11 to plot 3D surfaces and contour plots for the function f(x,y) = x / sqrt(1 + x^2 + y^2). Users can utilize the commands 'plot3d' for 3D surface plotting and 'contourplot' for generating contour plots within the specified range of -2 to 2 for both x and y. The commands provided are essential for visualizing mathematical functions effectively in Maple 11.

PREREQUISITES
  • Familiarity with Maple 11 software
  • Understanding of 3D plotting concepts
  • Basic knowledge of functions and their graphical representations
  • Experience with contour plotting techniques
NEXT STEPS
  • Explore advanced plotting options in Maple 11
  • Learn about customizing plot aesthetics in Maple
  • Investigate other mathematical functions for visualization
  • Study the implications of contour plots in multivariable calculus
USEFUL FOR

Mathematicians, educators, students, and anyone interested in visualizing complex functions using Maple 11.

MAins
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For a function f(x,y) what commands do I use to plot the coresponding surface from, say, -2 </= x, y </= 2? How would I then plot contours?
 
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For the example I have chosen f(x,y)=\frac{x}{\sqrt{1+x^2+y^2}}.

Code:
restart;
with(plots);
f:=(x,y)->x/(1+x^2+y^2)^(1/2);
plot3d(f(x,y),x=-2..2,y=-2..2);
contourplot(f(x,y),x=-2..2,y=-2..2,contours=25);
 

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