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September 27, 2025, 10:09:51 pm
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Author Topic: TyErd's questions  (Read 42545 times)  Share 

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brightsky

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Re: TyErd's questions
« Reply #330 on: June 28, 2010, 10:36:45 pm »
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Using your first one for an example, it would be:





Or you can work the left hand side to find the actual:



As you can see, the approximation is pretty close to the actual.
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TyErd

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Re: TyErd's questions
« Reply #331 on: June 28, 2010, 10:47:11 pm »
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OHHH i see where i went wrong, Thankyou!!!
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TyErd

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Re: TyErd's questions
« Reply #332 on: June 28, 2010, 11:20:14 pm »
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Let . If is increased by a small amount , find:

An expression for the percentage change for
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brightsky

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Re: TyErd's questions
« Reply #333 on: June 28, 2010, 11:55:28 pm »
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Percentage change =

Just plug in the values and solve.

Or if you want a linear approximation:

« Last Edit: June 29, 2010, 12:14:30 am by brightsky »
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TyErd

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Re: TyErd's questions
« Reply #334 on: June 29, 2010, 12:13:45 am »
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your latex doesnt work
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brightsky

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Re: TyErd's questions
« Reply #335 on: June 29, 2010, 12:14:46 am »
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Oh, sorry, should work now.  :)
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TyErd

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Re: TyErd's questions
« Reply #336 on: June 29, 2010, 12:26:17 am »
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Thanks!
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Re: TyErd's questions
« Reply #337 on: July 01, 2010, 11:56:28 am »
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What I did was:

which is clearly wrong but I dont know why this working out is wrong.
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brightsky

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Re: TyErd's questions
« Reply #338 on: July 01, 2010, 12:04:14 pm »
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Substitute , then

So the integrand becomes:







EDIT: Absolute values.
« Last Edit: July 01, 2010, 12:07:40 pm by brightsky »
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the.watchman

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Re: TyErd's questions
« Reply #339 on: July 01, 2010, 12:05:39 pm »
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Remember that the derivative of a log is a fraction with a linear polynomial in its denominator

So your answer should be (i think :P)

(@brightsky: absolute values buddy :P)
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brightsky

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Re: TyErd's questions
« Reply #340 on: July 01, 2010, 12:07:08 pm »
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Oh crap! Thanks the.watchman! :p
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TyErd

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Re: TyErd's questions
« Reply #341 on: July 01, 2010, 12:09:46 pm »
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Ohh so that means when there's a question like , you can't bring it up so that the equations is ?
« Last Edit: July 01, 2010, 12:12:08 pm by TyErd »
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brightsky

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Re: TyErd's questions
« Reply #342 on: July 01, 2010, 12:19:47 pm »
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Nope because .
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TyErd

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Re: TyErd's questions
« Reply #343 on: July 01, 2010, 12:30:48 pm »
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Okay thanks for clearing that up :)
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Re: TyErd's questions
« Reply #344 on: July 01, 2010, 12:59:53 pm »
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just a tip, taking out the constant has no effect and will make things simpler.
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