Sample Maple Commands (This is a sample of text- I went to "Insert", then "Text") You can either go through and execute each line of code separately (using the Enter button), or you can use the triple exclamation point in the toolbar above (!!!). # Problem 1 (This is an example of a comment line- Use the "hashtag") plot([sin(2*t), sin(t+sin(2*t)),t=0..2*Pi]); # Problem 2: Multiple graphs together: plot( { [ sin(2*t), sin(t+sin(2*t)), t=0..2*Pi ], [ cos(5*t),sin(2*t),t=0..2*Pi ] } ); # Problem 3: Example of Arc Length: xt:=t+exp(-t); yt:=t-exp(-t); dxt:=diff(xt,t); dyt:=diff(yt,t); A:=simplify(sqrt(dxt^2+dyt^2)); B:=Int(A,t=0..2); # Using uppercase I in "Int" means to not try to find an antiderivative. evalf(B); # evalf is the Maple command to numerically approximate something. # Problem 4: Plot a function with its tangent line: (Exercise 9 in 10.2) with(plots): xt:=6*sin(t); yt:=t^2+2; dxt:=diff(xt,t); dyt:=diff(yt,t); Dxt:=subs(t=0,dxt); Dyt:=subs(t=0,dyt); dydx=Dyt/Dxt; x1:=subs(t=0,xt); y1:=subs(t=0,yt); # The line is plotted in A below: A:=plot( y1+Dyt*(x-x1) ,x=-6..6): B:=plot([6*sin(t),t^2+2,t=-1..1]); display(A,B);