Dr. Sarah's Maple File for Homework 2 Plot, Velocity, Acceleration, Jerk, Speed, ArcLength, Curvature, and Torsion Modify the coordinate functions of the parameterization. Be sure to keep them as functions of t (and don't forget to hit return): x:=2*cos(3*t); y:=4*sin(t); z:=5*t; If you desire a different domain for the parameterization then modify the 0 and 2*Pi: t_1:=0; t_2:=2*Pi; Hit return for this without modification. Depending on the parameterization, it may take a while. If need be, you can stop it from continuing via the symbol that is an octagon with an exclamation point inside of it. with(VectorCalculus):with(plots): spacecurve([x,y,z],t=t_1..t_2,axes=frame); velocity:= diff([x,y,z],t); acceleration:= diff(diff([x,y,z],t),t); jerk:= diff(diff(diff([x,y,z],t),t),t); speed := simplify(sqrt(velocity^2+velocity^2+velocity^2)); arclength:= ArcLength(<x,y,z>,t=t_1..t_2); curvature:=simplify(Curvature(<x,y,z>,t),trig); torsion:=simplify(Torsion(<x,y,z>,t),trig); TNB Animation Modify the x, y, and z coordinates of the parametrization in the TNBFrame command below. If you desire then you can modify the domain for the parametrization by changing the range=0..3*Pi command. You can also change the speed via the number of frames. with(Student[VectorCalculus]): TNBFrame(<2*sin(t)-sin(2*t),2*cos(t)-cos(2*t),0>,range=0..3*Pi,output=animation,scaling=constrained,axes=frame,frames=50);