Problem #1

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Problem #1

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1. Problem #1 E Mathboat.com

2. Problem #2 C Mathboat.com

3. Problem # 3 Use cover-up method C Mathboat.com

4. Problem #4 B Mathboat.com

5. Problem #5 Use initial conditions: A Mathboat.com

6. Problem #6 Using the arc length formula… A Mathboat.com

7. Problem #7 1 1 -1 A Mathboat.com

8. Problem #8 By Pythagorean Theorem maximize Area: max. C Mathboat.com

9. Problem # 9 Converges Converges Diverges A Mathboat.com

10. Problem #10 OR D Mathboat.com

11. Problem #11 Integration by parts: Integration by parts again: Plug in: A Mathboat.com

12. Problem #12 1 1 -1 C Mathboat.com

13. Problem #13 E Mathboat.com

14. Problem #14 B Mathboat.com

15. Problem #15 Area of Semicircle A Mathboat.com

16. Problem #16 C Mathboat.com

17. Problem #17 Split into two integrals: Flip integral and make it negative Use 1st Fundamental Theorem of Calculus Chain Rule A Mathboat.com

18. Problem #18 C Mathboat.com

19. Problem #19 E Mathboat.com

20. Problem #20 B Mathboat.com

21. Problem #21 D Mathboat.com

22. Problem #22 Check Endpoints A Mathboat.com

23. Problem #23 It looks like a limit of Riemann sums E Mathboat.com

24. Problem #24 E Mathboat.com

25. Problem #25 D Mathboat.com

26. Problem #26 D Mathboat.com

27. Problem #27 Pts. of inflection Or : by the shape of Sin graph, it concaves up and down Pt. of inflection I and III only D Mathboat.com

28. Problem #28 Shown here is the slope field for which differential equation? Asymptote at y=0 & y=2 Slope is not same for every vertical Slope is not same for every horizontal No asymptote at y=3 Asymptote at y=2 A Mathboat.com

29. Problem #29 B Mathboat.com

30. Problem #30 C Mathboat.com

31. Problem #31 Make a chart E Mathboat.com

32. Problem #32 Lower Sum Upper Sum Trapezoidal B Mathboat.com

33. Problem #33 = 6 A Mathboat.com

34. Problem #34 4 4 5 5 6 6 7 7 8 8 A Mathboat.com

35. Problem #35 B Mathboat.com

36. Problem #36 A Mathboat.com

37. Problem #37 An outdoor thermometer registers a temperature of 100˚F. Twelve minutes after it is brought into a room where the temperature is 80˚F, the thermometer registers 90˚F. When will the thermometer register 85˚F? B Mathboat.com

38. Problem #38 Find the slope: Plug the coordinates of x and y and the slope into point-slope equation of the line: A Mathboat.com

39. Problem #39 r R C Mathboat.com

40. Problem #40 A Mathboat.com

41. Problem #41 Boy Girl Implicitly differentiate C Mathboat.com

42. Problem #42 Solve for intersections a and b: Substitute into formula B Mathboat.com

43. Problem #43 + max – B Mathboat.com

44. Problem #44 C Mathboat.com

45. Problem #45 Area under the curve: Area of 8 by 10 rectangle: Area above the curve: Probability: C Mathboat.com