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Higher Maths - 2000 - Paper I - Q10 - HSN forum

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Higher Maths - 2000 - Paper I - Q10


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#1 aldo

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Posted 25 April 2005 - 03:37 PM

Hi folks,

Was wondering if anyone could have a look at the 2000 Paper for me and see how they get on with the following question:

Higher Maths - 2000 - Paper I - Q10

I know the maximum must lie in the 4th quadrant, but cant think how to show it and how you would prove it.

Thanks...

#2 aldo

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Posted 25 April 2005 - 04:39 PM

I managed to plod through it on my own eventually.

Incase there is anyone else who isn't too sure, here is my solution.


Wont let me attach file....sorry!!!

Edited by aldo, 25 April 2005 - 04:40 PM.


#3 George

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Posted 25 April 2005 - 04:56 PM

To solve this question algebraically, you should use the Wave Function.

This should give you user posted image

The maximum value is sqrt.gif 2, which occurs where
user posted image

Hope that's helped smile.gif

#4 Tiger

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Posted 18 May 2005 - 03:11 PM

QUOTE(George @ Apr 25 2005, 05:56 PM)
To solve this question algebraically, you should use the Wave Function.

This should give you user posted image

The maximum value is sqrt.gif 2, which occurs where
user posted image

Hope that's helped smile.gif

View Post



Hi,

But i dont understand how do u know that this is a wave function question?



#5 George

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Posted 18 May 2005 - 03:45 PM

You need to use the wave function because it's the only method you know for finding a minimum or maximum where two trig terms are added together. You're right though, the tricky bit is spotting that it's a wave function question.

Here's my working:

user posted image

I hope that's clear enough - it's very similiar to the working in the notes for Wave Function. If you don't understand, just ask again smile.gif

#6 Tiger

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Posted 18 May 2005 - 08:43 PM

[Thanx, yeh i get da working but how do u know to use cos

#7 George

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Posted 18 May 2005 - 09:19 PM

You could have used any of the four types, but cos(x - a) usually makes for the easiest working.





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