Written practice questions for integral applications i need help understanding

Question 9 (3 points) Use integration to find f(4), if of = 3x2 + 2, and f(1) = 5. dxQuestion 10 (3 points] If x) = cosh) + 1, what is the average value of x) over the interval [0, 3]? Question 11 (3 points) What formula will describe the average rate of change of f(x) = 3* over the interval [0, 3]? Don't evaluate the formula.I Question 12 (3 points) If f(x) = 3x2 + x, what formula will describe, xl's average rate of change over the interval [1, 4]? Don't evaluate the formula. Question 13 {3 points) What is the average value of x), between x = 2 and x = 5 for f(x] = 2"? I Question 14 [3 points] What is the average value of x), between x = O and x = 5 for f(x) = 2 + cos{3x)? I Question 15 [3 points) What is the average value of x), between x = O and x = 5 for f(x) = 2 + sin(x)? Question 16 (3 points) If an object is moving along a linear path where v(t) = 4t - t2. At time t = 1, the position of the object is 4. Write the formula that describes the object's position at time t = 7. Do not evaluate the integral