CAS EXPERIMENT. Graphing Solutions. A CAS can usually
Chapter 1, Problem 1.3(choose chapter or problem)
CAS EXPERIMENT. Graphing Solutions. A CAS can usually graph solutions even if they are given by integrals that cannot be evaluated by the usual methods of calculus. Show this as follows.(A) Graph the curves for the seven initial valueproblems y' = e-x2/2 , yeO) = 0, I, 2, 3, commonaxes. Are these curves congment? Why?(B) Experiment with approximate curves of nth partialsums of the Maclaurin series obtained by term wiseintegration of that of y in (A); graph them and describequalitatively the accuracy for a fixed intervalo ~ x ~ b and increasing n, and then for fixed nandincreasing b.(C) Experiment with y' = cos (x2 ) as in (8).(D) Find an initial value problem with solutiony = e-2 L"e-t2 dt and experiment with it as in (8).
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