can you give a brief math and word explanation of each question? Thank you
A portion of the graph of the function fix) is shown in the figure below. The function f(x) is piecewise linear for 3 sx 6 and the area of the blue shaded region A is 3nt/2 y = f(x) -2 Compute each of the following (without using a calculator, so leaving sin(37), etc). If there is not enough information to compute value exactly, write NOT ENOUGH INFO. (a) Find (fx) +2) dx. Answer: f(x) + 2) dx = (b) Find the average value of h[x) on the interval [0,4]. Answer (c) Let J(x) = sin(Ï f(x)). Find J'(3.5). Answer: J'(3.5) (d) Let Flx) be an antiderivative of fÃx) with F(4)-5. Find an equation for the tangent line to the graph of H(x) at x4 Answer (e) Let g(x)=ex Findl. (f(x)g,(x) + f,(x)g(x) dx. Answer: Iâ (f(x)g,(x) + f,(x)g(x) dx-