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- y=4x^3+96x^2 a.) Find the transition points x= b.) Find the interval of increase c.) Find the interval of decrease d.) Find the interval on which the function is concave up e.)Find the interval on which the function is concave downSuppose that P(A)=0.3, P(B)=0.2, and P(C)=0.1. Further, P(AUB)=0.44, P(A^cC)=0.07, P(BC)=0.02, and P(AUBUC)=0.496. Decide whether A, B, and C are mutually independent.1) Find the average rates of change of f(x) =x^3-3xa) from x1=-2 to x2= -1 andb) from x1=0 to x2=12) Find the average rates of change of f(x) =x^2+2xa) from x1 =-3 to x2=-2 andb) from x1=-2 to x2=0