anonymous
  • anonymous
This one has me completely dumbfounded.... on limits again.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
If an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air resistance into account, is given by the following where g is the acceleration due to gravity and c is a positive constant describing air resistance.
amistre64
  • amistre64
sounds like terminal velocity
anonymous
  • anonymous
|dw:1328574172123:dw|

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anonymous
  • anonymous
that is e^(-ct/m)
amistre64
  • amistre64
v to inf?
anonymous
  • anonymous
im of v as t approaches infinity...sorry
anonymous
  • anonymous
it seems like the answer is infinity
amistre64
  • amistre64
hmm, i would think that e^-inf approaches zero so that bottoms out and your left with the rest
amistre64
  • amistre64
V = Mg/c (1-0)
anonymous
  • anonymous
so just Mg/c
amistre64
  • amistre64
|dw:1328574433063:dw|
amistre64
  • amistre64
i believe so; we can try it with some number using the wolf .... to be sure
amistre64
  • amistre64
http://www.wolframalpha.com/input/?i=limit+6%281-e%5E-t%29+t+to+infinity
anonymous
  • anonymous
ok so then if x approaches 0 from the right...
anonymous
  • anonymous
im sorry c
anonymous
  • anonymous
so mg/c
anonymous
  • anonymous
L 'H
amistre64
  • amistre64
is that a Lhopital?
anonymous
  • anonymous
yes.
amistre64
  • amistre64
you can try it; is the t considered constant now as well?
anonymous
  • anonymous
yes
amistre64
  • amistre64
Lhopital might be your best bet then, its been to long for e to be sure; I know the innards goes to 1-1 = 0
anonymous
  • anonymous
its not 0 though right??
amistre64
  • amistre64
http://www.wolframalpha.com/input/?i=limit+ab%281-e%5E%28-ct%2Fa%29%29%2Fc%2C++c+to+0 i think its gt
amistre64
  • amistre64
i click on show steps and it comes up empty ....
anonymous
  • anonymous
that graph looks really cool...lol
anonymous
  • anonymous
I call your help next!
amistre64
  • amistre64
divergent integrals yay!!
anonymous
  • anonymous
THANKSSSSSSSS
amistre64
  • amistre64
yw

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