Consider the parabola p(x) = -8.6x2 + 16.7x + 13.3. For which interval [A, B] is p(x)dx as large as possible? A note about the choices: for some incomprehensible reason eClass sometimes switches the position of A and B. Read each option very carefully, as your interval might be a backwards version of what eClass is showing as an option. O a. [1.5777, -1.5777] O b. [0.60680, -2.54866] O c. [0.9709 , -0.9709] O d. [18.2777, 15.1223] O e. [-8.6. 16.7]If a = 87.4, what value does b have to be to make b - xdx = 0 O a. 44.2000 O b. 45.2000 O c. 44.7000 O d. 175.80000 O e. 87.4\fSuppose that Jo f(x)dx = -12.5, J. f(x)dx = 10.9, Jo g(x)dx = -5.9, and Jo g(x)dx = 19.9. Then what is f ( x) + g(x) dx O a. 14.40 O b. 5.40 O c. -49.20 O d. -45.20 O e. -17.40Suppose that for each i such that 1