In Parts 1-6, use the following information. Give answers to the nearest hundredth unless otherwise directed. Your physics class decides to perform an experiment on circular waves. First, you make sure the water in the school swimming pool is level with no waves. Next, a volunteer tosses a small marble near the center of the pool. Your teacher tells you the radius in feet, r(t), of the outer ripple is given by r(t) = 0.73t, where t is the time in seconds after the marble hits the water given. The area of the circle is given by the function A(r) = mr , where A(r) is the area in square feet and r is the radius in feet. Part 1. Find an equation for the composite Outer ripple function. (Give the full decimal and leave the answer in terms of pi) Part 2. What is the input and output of the composite function? Part 3. Find the area of the circle 4 seconds after the marble hits the water. Part 4. Assume the marble hit exactly in the middle m of the pool. The outer ripple takes 17.97 seconds to reach the long side of the pool m. Find the area of the circle. Part 5. Find the length of the short side of the pool I, given the seconds in Part 4. Part 6. The area of a circle formed by the outer ripple is 77 square feet. How long ago did the marble hit the water