Identify the critical points and find the maximum and minimum of the given function on the given interval I.

a) G(x) = (1/5)(2x^3 +3x^2−12x); I = [−3,3]
b) g(x) = 1/(1+x^2); I = [−3,1]
c) f(x) =x/(1+ x^2); I = [−1,4]
d) a(t) = cost; I = [π,5π]

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