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January 24, 2026, 04:59:15 pm

Author Topic: Blakhitman's Questions!  (Read 14049 times)  Share 

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Blakhitman

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Re: Blakhitman's Questions!
« Reply #60 on: April 04, 2010, 10:55:18 pm »
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Thanks so much guys.

the.watchman I think you're right though, I subbed the a values you both got into the first two expressions and sketched them, the one watchman got had a point of intersection while brightsky's didn't.

Thanks heaps!

the.watchman

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Re: Blakhitman's Questions!
« Reply #61 on: April 04, 2010, 11:07:31 pm »
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Thanks so much guys.

the.watchman I think you're right though, I subbed the a values you both got into the first two expressions and sketched them, the one watchman got had a point of intersection while brightsky's didn't.

Thanks heaps!

No prob, that's quite a nice problem :P
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brightsky

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Re: Blakhitman's Questions!
« Reply #62 on: April 04, 2010, 11:10:58 pm »
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Oh, now I see where I went wrong. Thanks the.watchman.  ;)
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Blakhitman

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Re: Blakhitman's Questions!
« Reply #63 on: April 04, 2010, 11:12:04 pm »
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As if my teacher puts it on the revision sheet when our class is full of duds ><

But he's the best teacher...so I forgive him :D

TrueTears

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Re: Blakhitman's Questions!
« Reply #64 on: April 04, 2010, 11:12:35 pm »
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If then

So they are inverse functions, and are symmetrical about .
Thus, if they intersect, say at the intersection must lie on the line . Furthermore, , is concave up and is concave down, so if they only intersect once then they must 'touch' and not 'cross' - this means that their derivatives must be equal at the point of intersection. (draw this to see)
pr0 shit right here
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the.watchman

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Re: Blakhitman's Questions!
« Reply #65 on: April 05, 2010, 09:50:54 am »
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If then

So they are inverse functions, and are symmetrical about .
Thus, if they intersect, say at the intersection must lie on the line . Furthermore, , is concave up and is concave down, so if they only intersect once then they must 'touch' and not 'cross' - this means that their derivatives must be equal at the point of intersection. (draw this to see)
pr0 shit right here

Heck yeah, I bet 99% of MM students wouldn't have thought of that :P
Remember, remember the 5th of November

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Blakhitman

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Re: Blakhitman's Questions!
« Reply #66 on: April 07, 2010, 11:48:49 pm »
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So is it, or ?

I remember reading that one of them isn't right...don't know why though ><.

TrueTears

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Re: Blakhitman's Questions!
« Reply #67 on: April 07, 2010, 11:49:36 pm »
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So is it, or ?

I remember reading that one of them isn't right...don't know why though ><.
both are right.

i fink u mean |x| =\= (rt{x})^2
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Blakhitman

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Re: Blakhitman's Questions!
« Reply #68 on: April 07, 2010, 11:50:16 pm »
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Ok, thanks.

That makes sense lol.
« Last Edit: April 07, 2010, 11:54:43 pm by Blakhitman »

Blakhitman

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Re: Blakhitman's Questions!
« Reply #69 on: April 15, 2010, 06:34:39 pm »
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errrm domain for this by hand?

I got


the.watchman

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Re: Blakhitman's Questions!
« Reply #70 on: April 15, 2010, 06:37:57 pm »
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Defined if AND

Solve this algebraically or graphically to get OR

So the domain is
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Blakhitman

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Re: Blakhitman's Questions!
« Reply #71 on: April 15, 2010, 06:51:13 pm »
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yea >< I'm an idiot thanks the.watchman!

Blakhitman

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Re: Blakhitman's Questions!
« Reply #72 on: April 15, 2010, 07:24:29 pm »
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http://www.vcaa.vic.edu.au/vce/studies/mathematics/cas/assessreports/mmcas2_assessrep_07.pdf

Section 2 question 4di and 4dii, would I have gotten the marks if I worked out then work out then say like ???

and same for 4dii!

I'm not equating from the start btw...

brightsky

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Re: Blakhitman's Questions!
« Reply #73 on: April 15, 2010, 08:36:18 pm »
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http://www.vcaa.vic.edu.au/vce/studies/mathematics/cas/assessreports/mmcas2_assessrep_07.pdf

Section 2 question 4di and 4dii, would I have gotten the marks if I worked out then work out then say like ???

and same for 4dii!

I'm not equating from the start btw...

I don't see why they shouldn't give you the marks. :) Although your way is a tad bit longer :p.
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Blakhitman

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Re: Blakhitman's Questions!
« Reply #74 on: April 15, 2010, 09:17:15 pm »
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http://www.vcaa.vic.edu.au/vce/studies/mathematics/cas/assessreports/mmcas2_assessrep_07.pdf

Section 2 question 4di and 4dii, would I have gotten the marks if I worked out then work out then say like ???

and same for 4dii!

I'm not equating from the start btw...

I don't see why they shouldn't give you the marks. :) Although your way is a tad bit longer :p.

Lol but I wouldn't have thought of adding and subtracting 1 in 4di, so I wouldn't have proved it :P