\fQuestion 10 (3 points) If f(x) = cos(x) + 1, what is the average value of f(x) over the interval [0, 3]? Question 16 (3 points) If an object is moving along a linear path with v(t) = 3t2 + 3t - 5. At time t = O the position of the object is 6. Write the formula that describes the object's position at time t = 8. Do not evaluate the integral. Question 18 (3 points) The velocity of a particle on the time interval [1, 4] is v(t) = cos(3t), where v(t) is in cm/s. Find the average velocity for the interval.Find the displacement of an object on the interval 3 s t s 9 if its velocity is shown below. Question 3 (3 points) If you are given f(0) and f'(t) = 3t2, what is the formula for f(3)? Question 5 (3 points) A room is being heated at the rate of r(t) = (O.3t)1/2, where r(t) is measured in degrees Fahrenheit per minute. If the temperature in the room at 6:00 AM is 50 degrees, what is the formula that will describe the temperature at 9:00 AM? Where T(t) = temperature at time t. Do not evaluate the integral. Question 6 (3 points) If an object is moving along a horizontal path shown in the graph below. Describe the displacement of the object for the time interval [0, 6] Question 8 (3 points) If the radius of a sphere is expanding at the rate of ! = t cm/sec and r(0) = 2 cm. What is the volume of the sphere at t = 4? V = 4