100t A(t) = t2 +20t+100 Find the following. Use proper calculus notation. a. Use the quotient rule to find the derivative. Simplify the derivative. b. Find the rate of change in attendance for t = 5. Interpret your answer in terms of attendance and weeks. C. Find the rate of change in attendance for t = 10. Interpret your answer in terms of attendance and weeks. d. Find the rate of change in attendance for t = 20. Interpret your answer in terms of attendance and weeks. e. Graph A(t) and interpret a, b, and c on the graph. f. Write a short paragraph describing how the attendance changes, making sure you use the results from parts a, b, and c. Use calculus vocabulary