Calculus II Exam 2

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    • converges only if limit is a number
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    • Image Upload 4
    • converges only if limit is a number
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    • Image Upload 6
    • Diverges if Image Upload 7
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    • only converges if BOTH integrals converge
  5. What is the Principle Value of Image Upload 10?
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  6. What is Euler's Method?
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  7. What are the important formulas to know for first order linear differential equations?
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  8. What is the differential equation of Logistic Population Growth?
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    • or
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    • k= carrying capacity
    • r=intrinsic growth rate
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    0
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    1
  11. Image Upload 20 if
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    0
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    0
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    • Image Upload 27 if Image Upload 28
    • diverges if Image Upload 29
  16. Image Upload 30
    • Image Upload 31 if Image Upload 32
    • diverges if Image Upload 33
  17. What does the convergence test theorem say?
    • If Image Upload 34 converges, then Image Upload 35
    • If Image Upload 36, then Image Upload 37 diverges
  18. What is the harmonic series and does it converge/diverge?
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    • this series diverges even though Image Upload 40
  19. If Image Upload 41 and Image Upload 42,
    Then Image Upload 43
    Image Upload 44
  20. What does the Integral Test say?
    • If f(x) is a function on Image Upload 45
    • and Image Upload 46 for n=1,2,3,...
    • Then Image Upload 47 and Image Upload 48 both converge or both diverge
  21. What does the Improper Integral Test say?
    • Image Upload 49 converges if Image Upload 50 & diverges if Image Upload 51
    • Image Upload 52 converges if Image Upload 53 & diverges if Image Upload 54
  22. What is the theorem of the basic comparison test?
    • Suppose Image Upload 55 for all k
    • If Image Upload 56 diverges, then Image Upload 57 diverges
    • If Image Upload 58 converges, then Image Upload 59 converges
  23. What is the theorem of the limit comparison test?
    • Given Image Upload 60Image Upload 61, series of positive terms
    • Suppose Image Upload 62 where Image Upload 63
    • Then Image Upload 64 and Image Upload 65 both converge or both diverge
Author
ID
264241
Card Set
Calculus II Exam 2
Description
formulas and whatnot for exam 2
Updated
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