Calculus II Exam 2

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mirahh
ID:
264241
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Calculus II Exam 2
Updated:
2014-03-11 02:49:04
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suny geneseo calculus
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formulas and whatnot for exam 2
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    • converges only if limit is a number
    • converges only if limit is a number
    • Diverges if 
    • only converges if BOTH integrals converge
  1. What is the Principle Value of ?
  2. What is Euler's Method?
  3. What are the important formulas to know for first order linear differential equations?




  4. What is the differential equation of Logistic Population Growth?
    • or
    • k= carrying capacity
    • r=intrinsic growth rate
  5. 0
  6. 1
  7.  if
  8. 0
  9. 0
    •  if 
    • diverges if 
    •  if 
    • diverges if 
  10. What does the convergence test theorem say?
    • If  converges, then
    • If , then  diverges
  11. What is the harmonic series and does it converge/diverge?
    • this series diverges even though 
  12. If  and ,
    Then 
  13. What does the Integral Test say?
    • If f(x) is a function on 
    • and  for n=1,2,3,...
    • Then  and  both converge or both diverge
  14. What does the Improper Integral Test say?
    •  converges if  & diverges if 
    •  converges if  & diverges if 
  15. What is the theorem of the basic comparison test?
    • Suppose  for all k
    • If  diverges, then  diverges
    • If  converges, then  converges
  16. What is the theorem of the limit comparison test?
    • Given , series of positive terms
    • Suppose  where 
    • Then  and  both converge or both diverge

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