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 Post subject: SRF Howework fun time >_>
PostPosted: Mon Aug 29, 2011 2:58 pm 
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Help please >_>.
I was placed in AP calc AB and have summer work but I suck at math horribly Don't know what the hell this is asking D=

Givn f(t)= C e ^-kt
1.) If f(0) = 5 what is the value of C?

2.) If f(3)= 6, What is the value of k



There are two variables but I can only plug in one, what is this witch craft ?!

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Last edited by Squirt on Mon Aug 29, 2011 5:12 pm, edited 1 time in total.

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 Post subject: Re: SRF Howework fun time >_>
PostPosted: Mon Aug 29, 2011 3:13 pm 
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If you suck at math, why are you in an AP class?

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 Post subject: Re: SRF Howework fun time >_>
PostPosted: Mon Aug 29, 2011 3:21 pm 
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Because public schools are retarded and won't switch me out is why.....

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 Post subject: Re: SRF Howework fun time >_>
PostPosted: Mon Aug 29, 2011 3:42 pm 
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shit finally dawned on me: I'll never do maths again :yay:

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 Post subject: Re: SRF Howework fun time >_>
PostPosted: Mon Aug 29, 2011 3:45 pm 
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If you plug in 0 for t for the first one then k doesn't matter, c=5. You should be able to do the second one.


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 Post subject: Re: SRF Howework fun time >_>
PostPosted: Mon Aug 29, 2011 4:22 pm 
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Can someone explain why its 5? ( Sorry haven't done math in like 3 months....) and can you do number 2 step by step please =(

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 Post subject: Re: SRF Howework fun time >_>
PostPosted: Mon Aug 29, 2011 4:56 pm 
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Is answer to the second one: k = -1/3 ln 6/5 ?

f(t) = C e^-kt
f(0) = 5
f(0) = C e^0 = 5
f(0) = C = 5


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 Post subject: Re: SRF Howework fun time >_>
PostPosted: Mon Aug 29, 2011 5:00 pm 
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For the 1st one.

5=Ce^(-kt) (T = 0)
5=Ce^(-k*0)
5=Ce^0
5=C (any number raised to the zeroth power equals 1)


For the 2nd one, I assume c still equals 5 (from step 1) and thus you need to solve the following equation.

6=5e^(-3k)


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 Post subject: Re: SRF Howework fun time >_>
PostPosted: Mon Aug 29, 2011 5:02 pm 
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No, F'(t) = f(t), for the second one you have to use the first derivation of F(t) for the plugging, assuming he didn't just screw up capitalization.


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 Post subject: Re: SRF Howework fun time >_>
PostPosted: Mon Aug 29, 2011 5:09 pm 
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They are all lower case >_>

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 Post subject: Re: SRF Howework fun time >_>
PostPosted: Mon Aug 29, 2011 5:11 pm 
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You'll want to edit that, F(t) and f(t) are not the same thing.

Oh yeah, forgot to put my solutions, I knew I was forgetting something:
1)
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2)
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 Post subject: Re: SRF Howework fun time >_>
PostPosted: Mon Aug 29, 2011 5:14 pm 
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SM-Count wrote:
You'll want to edit that, F(t) and f(t) are not the same thing.



Back to my solution?

Well the other option would be solve "6=Ce^(-3k)" while not specifying C, though you'll need to say that C can't be 0.


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 Post subject: Re: SRF Howework fun time >_>
PostPosted: Mon Aug 29, 2011 5:17 pm 
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Yeah it says using answer from part 1 for use in the question 2

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 Post subject: Re: SRF Howework fun time >_>
PostPosted: Mon Aug 29, 2011 5:17 pm 
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Yeah, you and azn were right, it's just plugging. I just assumed since it's calculus homework there'd be calculus XD


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