Can someone please help me with the Maple language in solving the following equations? I have already solved them by hand but I am new to Maple and am having difficulty with the coding language. Here are the problems:
1. Graph the parametric curve x=2t-pi*sin(t), y=2-pi*cos(t) from 0 to 20. The curve forms loops, determine the arc length of one loop.
2. Graph the rose curve r=sin(4theta) in polar coordinates. Determine the area of one pedal.
3. Graph the implicit function x^2+y^2+4z^2=1. Further determine the volume of the region inside of the surface.
Any help that can be offered will be greatly appreciated. I think you for your kindness.
