Calculus II Exam 2

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The flashcards below were created by user mirahh on FreezingBlue Flashcards.


  1. Image Upload
    • Image Upload
    • converges only if limit is a number
  2. Image Upload
    • Image Upload
    • converges only if limit is a number
  3. Image Upload
    • Image Upload
    • Diverges if Image Upload
  4. Image Upload
    • Image Upload
    • only converges if BOTH integrals converge
  5. What is the Principle Value of Image Upload?
    Image Upload
  6. What is Euler's Method?
    Image Upload
  7. What are the important formulas to know for first order linear differential equations?
    Image Upload

    Image Upload

    Image Upload
  8. What is the differential equation of Logistic Population Growth?
    • Image Upload
    • or
    • Image Upload
    • k= carrying capacity
    • r=intrinsic growth rate
  9. Image Upload
    0
  10. Image Upload
    1
  11. Image Upload if
    Image Upload
  12. Image Upload
    0
  13. Image Upload
    Image Upload
  14. Image Upload
    0
  15. Image Upload
    • Image Upload if Image Upload
    • diverges if Image Upload
  16. Image Upload
    • Image Upload if Image Upload
    • diverges if Image Upload
  17. What does the convergence test theorem say?
    • If Image Upload converges, then Image Upload
    • If Image Upload, then Image Upload diverges
  18. What is the harmonic series and does it converge/diverge?
    • Image UploadImage Upload
    • this series diverges even though Image Upload
  19. If Image Upload and Image Upload,
    Then Image Upload
    Image Upload
  20. What does the Integral Test say?
    • If f(x) is a function on Image Upload
    • and Image Upload for n=1,2,3,...
    • Then Image Upload and Image Upload both converge or both diverge
  21. What does the Improper Integral Test say?
    • Image Upload converges if Image Upload & diverges if Image Upload
    • Image Upload converges if Image Upload & diverges if Image Upload
  22. What is the theorem of the basic comparison test?
    • Suppose Image Upload for all k
    • If Image Upload diverges, then Image Upload diverges
    • If Image Upload converges, then Image Upload converges
  23. What is the theorem of the limit comparison test?
    • Given Image UploadImage Upload, series of positive terms
    • Suppose Image Upload where Image Upload
    • Then Image Upload and Image Upload both converge or both diverge

Card Set Information

Author:
mirahh
ID:
264241
Filename:
Calculus II Exam 2
Updated:
2014-03-11 06:49:04
Tags:
suny geneseo calculus
Folders:

Description:
formulas and whatnot for exam 2
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