Calculus Test _3 Review Sheet - PC vers

Calculus Test _3 Review Sheet - PC vers - Calculus Test #3...

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Calculus Test #3 Review Sheet I. Find the indefinite integrals: 1. 2. 3. 4. II. Find the antiderivative of f(x): 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. III. Find each of the definite integrals: 23. 24. 25. 26. 27. 28. 29. 30. 31. IV. Do as directed. Round answers to nearest thousandth if necessary. 32. A demand function (relationship between p price and q quantity) is p=200-q. Find: a. A revenue function in terms of q (in other words find R(q)). b. The marginal revenue function. c. The marginal revenue when q=10. d. Find R(9), R(10), and R(11). Compare the change in revenue between R(9) and R(10) and between R(10) and R(11). How do these compare to C? 33. Revenue is given by R(q)=200q. Cost is given by . At what quantity is profit maximized? What is the maximum profit? 34. “Five Bucks Coffee Company” finds that at $5/cup the demand for coffee is 4000 cups. For every $0.10 decrease in price demand increases by 100 cups. Find that price that maximizes revenue? 35. For the graph at the right, answer each of the following: a. When x=2000 units, should you increase or decrease production?
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Calculus Test _3 Review Sheet - PC vers - Calculus Test #3...

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