HSC Stuff > HSC Mathematics Extension 2
URGENT HELP REARRANGING! Final due monday!!!
nastya0987:
how do I rearrange to find a!!!! where e = euler's number
73/410 = ae^(-2a)
i need to do this for a variety of different equations with different x values (-2 in this one) and probabilities (73/410).
jakesilove:
--- Quote from: nastya0987 on February 26, 2017, 11:39:03 am ---how do I rearrange to find a!!!! where e = euler's number
73/410 = ae^(-2a)
i need to do this for a variety of different equations with different x values (-2 in this one) and probabilities (73/410).
--- End quote ---
Hey! I honestly can't find a way of explicitly getting an answer out using normal methods; I feel like you can't. The way I would have attempted to attack the question is like this
Wolfram alpha seems to suggest there isn't a straight answer, so I don't think there's much more we can do here using conventional methods. If you wanted to be smart, you could guess an answer that's close using your calculator, and then use Newton's method? There also happen to be two answers in this particular case.
jakesilove:
--- Quote from: jakesilove on February 26, 2017, 12:21:38 pm ---Hey! I honestly can't find a way of explicitly getting an answer out using normal methods; I feel like you can't. The way I would have attempted to attack the question is like this
Wolfram alpha seems to suggest there isn't a straight answer, so I don't think there's much more we can do here using conventional methods. If you wanted to be smart, you could guess an answer that's close using your calculator, and then use Newton's method? There also happen to be two answers in this particular case.
--- End quote ---
For instance, a=1 is actually pretty damn close (as is a=0). So, we could use either of those as our initial approximation. However, are about 0.38 and 0.64, so the one you chose may affect the answer you end up getting.
RuiAce:
--- Quote from: nastya0987 on February 26, 2017, 11:39:03 am ---how do I rearrange to find a!!!! where e = euler's number
73/410 = ae^(-2a)
i need to do this for a variety of different equations with different x values (-2 in this one) and probabilities (73/410).
--- End quote ---
Verifying what Jake said.
This is physically IMPOSSIBLE with elementary algebraic methods. The best you can get is to isolate a onto one side. You should post the entire question and not just this part so we can determine if there was a potential typo.
Methods of approximation are taught in the Ext 1 course.
Shadowxo:
Normally for a question like this, you'd use a calculator and solve for a - you can't solve this by hand but you can plug it into a calculator that'll solve it for you, I'd expect that's what they want you to do.
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