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January 24, 2026, 10:54:42 am

Author Topic: TyErd's questions  (Read 47712 times)  Share 

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Juddinator

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Re: TyErd's questions
« Reply #285 on: June 15, 2010, 11:06:36 am »
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ok sweet thanks blakhitman!

kenhung123

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Re: TyErd's questions
« Reply #286 on: June 15, 2010, 07:37:31 pm »
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What does this actually mean?

its an addition/subtraction formula, say you wanted to find then you would use the fact that so which you can then simplify with exact values...
I'm not sure if the text book is using that formula (I thought it was) but they did this:

stonecold

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Re: TyErd's questions
« Reply #287 on: June 15, 2010, 07:43:07 pm »
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double/compound angle formulae are so good. :)
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kenhung123

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Re: TyErd's questions
« Reply #288 on: June 15, 2010, 07:52:25 pm »
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Hmm, do we need to know that provided CAS?

stonecold

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Re: TyErd's questions
« Reply #289 on: June 15, 2010, 07:53:24 pm »
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Yeah, if you read through my question thread there is a massive discussion about this somewhere in there.  Best to know them.   They come in very useful at times...
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kenhung123

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Re: TyErd's questions
« Reply #290 on: June 15, 2010, 08:38:43 pm »
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Is it wrong if I leave it in the form I get without applying double angle? I actually don't really get the point of double angle because it doesn't seem to simplify the expression?

brightsky

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Re: TyErd's questions
« Reply #291 on: June 16, 2010, 05:27:06 pm »
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What does this actually mean?

its an addition/subtraction formula, say you wanted to find then you would use the fact that so which you can then simplify with exact values...
I'm not sure if the text book is using that formula (I thought it was) but they did this:


Is it me or should the RHS be multiplied by two? Like:



Edited: xD
« Last Edit: June 16, 2010, 06:44:36 pm by brightsky »
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the.watchman

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Re: TyErd's questions
« Reply #292 on: June 16, 2010, 06:15:34 pm »
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Yup, but it should be :)

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TyErd

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Re: TyErd's questions
« Reply #293 on: June 16, 2010, 06:40:47 pm »
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Let be differentiable for all values of x in . The graph with equation has a local minimum at . What is the equation of the tangent at the point with the coordinates . I cant seem to get it.
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brightsky

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Re: TyErd's questions
« Reply #294 on: June 16, 2010, 06:48:17 pm »
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(2,4) is the local minimum, so the tangent would just be a horizontal straight line (gradient = 0). Hence, equation of the tangent would be y = 4.
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TyErd

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Re: TyErd's questions
« Reply #295 on: June 16, 2010, 06:51:25 pm »
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Ofcourse! cant believe I didn't see that before. Thankyou!
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TyErd

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Re: TyErd's questions
« Reply #296 on: June 16, 2010, 07:07:42 pm »
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A spherical bubble, initially of radius length 1cm, expands steadily, its radius increaes by 1cm/s and it bursts after 5 seconds.

a) Find the rate of increase of volume with respect to the change in radius when the radius is 4cm.

b) Find the rate of increase of volume with respect to time when the radius is 4cm.
« Last Edit: June 16, 2010, 08:35:38 pm by TyErd »
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TyErd

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Re: TyErd's questions
« Reply #297 on: June 16, 2010, 07:10:30 pm »
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An open tank is to be constructed with a square base and vertical sides to contain of water. What must be the dimensions of the area of sheet metal used in its construction if this area is to be a minimum.
"Don’t ever let somebody tell you you can’t do something, not even me.  Alright?  You got a dream, you gotta protect it.  People can’t do something themselves, they wanna tell you you can’t do it.  If you want something, go get it, period." - Chris Gardner

TyErd

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Re: TyErd's questions
« Reply #298 on: June 16, 2010, 07:12:16 pm »
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At noon the captain of a ship sees two fishing boats approaching. One of them is 10km due east and travelling west at 8km/h. The other is 6km due north, travelling south at 6km/h. At what time will the fishing boats be closest together and how far apart will they be?
"Don’t ever let somebody tell you you can’t do something, not even me.  Alright?  You got a dream, you gotta protect it.  People can’t do something themselves, they wanna tell you you can’t do it.  If you want something, go get it, period." - Chris Gardner

TyErd

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Re: TyErd's questions
« Reply #299 on: June 16, 2010, 11:47:00 pm »
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?
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