Calculus II Exam 2

- converges only if limit is a number
- converges only if limit is a number
- Diverges if
- only converges if BOTH integrals converge
What is the Principle Value of ?
What is Euler's Method?
What are the important formulas to know for first order linear differential equations?
What is the differential equation of Logistic Population Growth?
- or
- k= carrying capacity
- r=intrinsic growth rate
0
1
if
0
0
- if
- diverges if
- if
- diverges if
What does the convergence test theorem say?
- If converges, then
- If , then diverges
What is the harmonic series and does it converge/diverge?
- this series diverges even though
If and ,
Then
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
What does the Improper Integral Test say?
- converges if & diverges if
- converges if & diverges if
What is the theorem of the basic comparison test?
- Suppose for all k
- If diverges, then diverges
- If converges, then converges
What is the theorem of the limit comparison test?
- Given , , series of positive terms
- Suppose where
- Then and both converge or both diverge

Author

mirahh

ID

264241

Card Set

Calculus II Exam 2

Description

formulas and whatnot for exam 2

Updated

2014-03-11T06:49:04Z

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