(563, #17) (a) Graph the epitrochoid with equations
What parameter interval gives the complete curve?
(b) Use your CAS (computer algebra system) to find the approximate length of this curve.

Solution: (a) Maple was used to plot the parametric equation using different parameters for t; will give the complete curve.

(b) By Simpson's Rule (see Maple Code) the length, to 1 digit, is 294.

Maple code

by: nl