Dr. Sarah's TNB Intro for Cardioid and Line in Maple Maple is a computer algebra system, which was first developed in 1980 at the University of Waterloo in Canada.Maple can handle numerical, symbolic, and graphical representations. Exposure to this type of technology is a course goal of Calculus with Analytic Geometry II and Introduction to Linear Algebra as well as Differential Geometry. Each time you open this document, hit return anywhere in the Maple code of each line in successive order, including the following line with the package: 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); TNBFrame(<2*sin(t)-sin(2*t),2*cos(t)-cos(2*t),0>); TNBFrame(t*<1,1,1/2>+<0,0,1>,range=0..3*Pi,output=animation,scaling=constrained,axes=frame,frames=50); TangentVector(t*<1,1,1/2>+<0,0,1>, t, normalized=true); TangentVector(t*<1,1,1/2>+<0,0,1>,t,output=animation,range=0..7,vectors=6,vectoroptions=[color=blue],curveoptions=[color=grey],scaling=constrained); TangentVector(t*<1,1,1/2>+<0,0,1>,t,range=0..3*Pi,output=plot,scaling=constrained); TangentVector(<2*sin(t)-sin(2*t),2*cos(t)-cos(2*t),0>,t,range=0..3*Pi,output=plot,scaling=constrained);