I need help

3. Solve the initial value problem for the following exercises: A) f' (x) = 2x + 3, f(1) = 7 B) f" (x) = 12x, f' (0) = 4, f(0) = 9 4. Tell me EVERYTHING you can about the graph of F (x), where F' (x) = f(x). YA y = f(x) 0 2 3 4 5. If an object is dropped on earth, it immediately starts to fall. Why is that? What is making it do that? Is that considered a velocity or acceleration? If the acceleration due to gravity is -32 ft/sec, come up with the formula for the general position function on earth.6. An object is thrown vertically with an intial velocity of 40 ft/sec at an initial height of 5 ft. The acceleration due to gravity is -32 ft/sec2. A) What is the height of the object after t seconds? B) How high does the object go? C) How long does it take to hit the ground? D) What is the speed of the object when it hits the ground