Author Topic: A few Specialist Problems (Read 20057 times) Tweet Share

GerrySly · « **Reply #105 on:** October 29, 2009, 08:36:31 am »

Not quite sure about the solutions, if you could shed some light in it it'd be appreciated

Mao · « **Reply #106 on:** October 29, 2009, 11:34:31 am »

Oh wow, that's pretty challenging

$A_{shaded} = A_{OCD\; sector} - A_{triangle}$

$\implies A_s = \frac{\theta}{2\pi} \pi r^2 - \frac{r^2 \sin\theta}{2}$

$V = 8 \times A_s = 4\cdot 1.5^2 \theta - 4 \cdot 1.5^2 \sin \theta = 9 \theta - 9 \sin \theta = 9(\theta - \sin \theta)$

brenny · « **Reply #107 on:** October 29, 2009, 11:41:33 am »

just a quick question how would you integrate x= -800v/(10,000+v^2) to find x in terms of v

GerrySly · « **Reply #108 on:** October 29, 2009, 02:34:42 pm »

Quote from: Mao on October 29, 2009, 11:34:31 am

Oh wow, that's pretty challenging

$A_{shaded} = A_{OCD\; sector} - A_{triangle}$

$\implies A_s = \frac{\theta}{2\pi} \pi r^2 - \frac{r^2 \sin\theta}{2}$

$V = 8 \times A_s = 4\cdot 1.5^2 \theta - 4 \cdot 1.5^2 \sin \theta = 9 \theta - 9 \sin \theta = 9(\theta - \sin \theta)$

Is that formula of a sector bit required knowledge? Never seen it before :S

arthurk · « **Reply #109 on:** October 29, 2009, 02:41:47 pm »

Quote from: brenny on October 29, 2009, 11:41:33 am

just a quick question how would you integrate x= -800v/(10,000+v^2) to find x in terms of v

let u = 10000 + v^2 and u should end up with a log by the looks of it

TonyHem · « **Reply #110 on:** October 29, 2009, 03:11:19 pm »

Just curious, where is this question from? I've browsed through heaps of exams n haven't seen this q.

GerrySly · « **Reply #111 on:** October 29, 2009, 03:15:23 pm »

Quote from: TonyHem on October 29, 2009, 03:11:19 pm

Just curious, where is this question from? I've browsed through heaps of exams n haven't seen this q.

Mine? From TSSM '09

GerrySly · « **Reply #112 on:** November 02, 2009, 05:52:13 pm »

Well I survived Specialist maths lol

Thanks go out to TrueTears, Mao, kamil9876, dcc, Flaming_Arrow, evaporade, Damo17, /0, bem9, biggzee, bigtick and TonyHem for all the help over the year, truly appreciate it

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