i solved the 1st problem,3 and 4th problem can you help me with the rest I'm not sure how to get the answer. can you show me step by step how you get the answer so I can understand better.

1. Use both difference quotients in the middle of page 21 to show that you will get the same solutions regardless of which one you use for the function f (x) = 3x + 1 on the interval from x = 2 and x = 5. Be sure to show your work. 2. Estimate the instantaneous rate of change of the function f (x) = -2x2 + 3x + 2 at x = 3 using the average rate of change over the interval [3,3.01]. Round your answer to the nearest whole number. 3. Find the average rate of change of the function f (x) = 5x2 - 3x + 1 from x = 1 to x = 4. Door The diagram shows a door with an automatic closer. At time t = 0 seconds someone pushes the door, it swings open, slows down, stops, and starts closing, and then slam shut at t = 7 seconds. As the door is in id: degrees motion the number of degrees, d, it is from its closed position depends on time, t. 4. Sketch a reasonable graph of d versus t. Explain why you drew your graph the way you did. Now suppose the d is given by the equation d(t) = 200t . 2-t. 5. Complete the table of values. Round to the nearest 0.10. t 0 2 3 4 5 6 7 8 9 10 d 0.0 75.0 31.30 3.50 2.0 6. At time t = 1 seconds, does the door appear to be opening or closing? How can you tell? 7. What is the average rate of change for the time interval [1,1.1]? Based on your answer does the doors seem to be opening or closing at t = 1? Explain. 8. Complete problem 6 and 7 again but for t = 7 seconds