1. Problem #1 E
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2. Problem #2 C
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3. Problem # 3
Use cover-up
method
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4. Problem #4
Mathboat.com B

5. Problem #5
Use initial conditions: A
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6. Problem #6
Using the arc length formula… A
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7. Problem #7 -1 1 A
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8. Problem #8
By Pythagorean Theorem
maximize
Area:
max.
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9. Problem # 9
Converges
Converges
Diverges
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10. Problem #10 OR D
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11. Problem #11 A Integration by parts: Integration by parts again:
Plug in:
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12. Problem #12 1 -1 1
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13. Problem #13 E
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14. Problem #14 B
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15. Problem #15
Area of Semicircle A
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16. Problem #16
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17. Problem #17 A Split into two integrals:
Flip integral and make it negative
Use 1st Fundamental Theorem of Calculus
Chain Rule A
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18. Problem #18 C
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19. Problem #19 E
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20. Problem #20 B
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21. Problem #21 D
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22. Problem #22
Check Endpoints
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23. Problem #23
It looks like a limit of Riemann sums
Mathboat.com E

24. Problem #24 E
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25. Problem #25 D
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26. Problem #26 D
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27. Problem #27 Pts. of inflection Pt. of inflection I and III only D
Or : by the shape of Sin graph,
it concaves up and down
Pt. of inflection
I and III only
Mathboat.com D

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
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29. Problem #29
Mathboat.com B

30. Problem #30
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31. Problem #31
Make a chart x y
0.5 1
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32. Problem #32
Lower Sum
Upper Sum
Trapezoidal B
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33. Problem #33
= 6
Calculator A
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34. Problem #34 4 5 6 7 8 4 5 6 7 8
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35. Problem #35 B
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36. Problem #36 A
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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?
Mathboat.com B

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

39. Problem #39 R r C
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40. Problem #40
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41. Problem #41
Boy
Girl
Implicitly differentiate C
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42. Problem #42 Solve for intersections a and b: Substitute into formula B
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43. Problem #43
max + –
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44. Problem #44 -4 -2 2 4 -1 1
Mathboat.com C

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