Please solve these question with fully details and fully explainations. Thanks so much in advance.

Question 9.5 Find the function g with the properties: g"(x) = 24 sin(12x) - 15 cos(3x) + 2, g(0) = - and g'(0) = 5. . OC 4+ u6 Question 9.6 Suppose that F(x) = f (t) dt where f (t) = du. Find F"(2). Question 9.7 Find a function f and a positive number a such that 2+ f (t) dt = 2Vx a 1 2 for all x > 0