(a) The Fresnel sine integral is defined by . Express the solution y(x) of the initial-value problem y (sin x2)y  0, y(0)  5

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(a) The Fresnel sine integral is defined by . Express the solution y(x) of the initial-value problem y (sin x2)y  0, y(0)  5, in terms of S(x).

(b) Use a CAS to graph the solution curve for the IVP on (, ).

(c) It is known that S(x): as x:  and S(x):  as x:  . What does the solution y(x) approach as x:? As x:?

(d) Use a CAS to find the values of the absolute maximum and the absolute minimum of the solution y(x).

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