The function f (:12), dened for a: > 0, takes the form f(a:) = 1552 + bx + g, for some constants a, b, c. The following facts about f and its derivative f' hold: f(1)=5, f(1)= ,/1f(:r) dm=ln2 4. Using this information, show that the following system of equations holds for a, b and c: a+b+c = 5 2a+bc = 1 14a+9b+(6ln2)c = 61n224. Solve this system of equations by using row operations, to determine a, b and c