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Test _2 Review Sheet_1

Test _2 Review Sheet_1 - Test#2 Review Sheet I On the...

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Test #2 Review Sheet I. On the graphs below identify all a. local maximums, b. local minimums, and c. inflection points. 1. 2. II. Draw a graph with the given characteristics. Graphs 3-5 have no endpoints. Graphs 6-7 are on the interval . 3. 1 local minimums, 1 global minimum, 1 local maximum, and 2 inflection points. 4. A global minimum and no global maximum. 5. A local minimum at x=-3, a local maximum at x=4, and no global maximum or minimums. 6. A global minimum at an endpoint with coordinates (1,-10), local maximum at the endpoint (10,40), a global maximum at (4,50), and a local minimum at (8,10). 7. A local maximum at the x=1 endpoint, a global minimum at x=3, a global maximum at x=9 endpoint. III. For each value on the function graphed below, tell if the value of the 1 st and 2 nd derivatives are negative, positive, or 0. Assume that points that “appear close” to critical points are AT those critical points. 8. 9.
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IV. Find the derivatives of each: 10. y=5 11. f(x)=2x+3 12 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. V. Solve each as directed. 36. The distance (d) miles that a car has travelled from Columbia is given by the formula d=60t+100, where t is the number of hours. Find the derivative and give the units and interpret the meaning . 37. Zebra mussels first appeared on the St Lawerence River in 1980. The number of mussels (N) can be given by the equation , where t is the number of years since 1980. Answer the following questions: a. How many mussels were there in 1995?
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