The following are the Maple commands used to answer some of the
questions of Quiz 5.
> plot({tan(x*Pi),-x},x=0..2*Pi,y=-10..2,discont=true);
** Maple V Graphics **
> f:=x->x+tan(Pi*x);
f := x -> x + tan(x Pi)
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> lambda[1]:=fsolve(f(x)=0,x=.5..1);
lambda[1] := .7876372942
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> lambda[2]:=fsolve(f(x)=0,x=1.5..2);
lambda[2] := 1.671605625
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>
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