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Just to get you started.
Q A)
v=rω
and ω is the same for both small and large discs (they have to roll at the same angular velocity)
so ω = v/r = 2.2/0.388
so v at pt A = 2.2/0.388*0.717 = 4.065 m/s
a at pt A = v^2 / r = 4.065^2/0.717 = 23.05 m/s^2
The rest I do when I finish tuition. Rushing out to give now.
Edited by eagle 06 Sep `08, 9:36AM
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if he didn't sell half his Singapore Stamps, but bought 12 Australian Stamps instead, he will have 240 + 12 = 252 stamps
The ratio of Singapore Stamps to Australian Stamps will also be 2:1 since after selling half his Singapore Stamps, he will have as many Singapore Stamps as Australian Stamps.
so number of Australian stamps he has at first = 252/3 - 12 = 72
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Good job on the fact that you have tried it for at least 2 days. Good effort!
I shall attempt :D
1) cosec A + cot A = 3
we know that (cot A)^2 + 1 = (cosec A)^2
Hence, (cosec A)^2 - (cot A)^2 = 1thus, (cosec A + cot A) (cosec A - cot A) = 1
3 (cosec A - cot A) = 1
(cosec A - cot A) = 1/3(cosec A - cot A) = 1/3
(cosec A + cot A) = 3
Summing them, 2 cosec A = 3 1/3
cosec A = 6 2/3 = 20/3
sin A = 0.15Thus, cos A = sqrt (1 - (sin A)^2) = 0.989
2) Prove that (1+tan x - sec x)(1 + cot x + cosec x) =2
expand
LHS= 1 + cot x + cosec x + tan x + 1 + tan x cosec x - sec x - sec x cot x - sec x cosec x
We can calculate that
tan x cosec x = sec x (since tan x = sin x / cos x)
sec x cot x = cosec xso the above is
LHS = 1 + cot x + cosec x + tan x + 1 + sec x - sec x - cosec x - sec x cosec x
LHS = 2 + cot x + tan x - sec x cosec x
LHS = 2 + cos x / sin x + sin x / cos x - 1 / (sin x cos x)
LHS = 2 + [{cos x}^2 + {sin x}^2 - 1] / (sin x cos x)
LHS = 2 (proved)Regards,
Eagle (Strategic Tuition)
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Originally posted by freedom4ever:
ERP limit cars in CBD area ERP help Singaporean own more cars ERP improve traffic flow ERP for motorists safetyin future
ERP help Singaporeans make more babiesthen when ERP start to become more and more
ERP is a tourists attraction nowMust wait for statistical results
When the number of babies start to increase in tandem with ERP gantries, then they will say ERP help Singaporeans make more babies
When the number of tourists increase further as ERP gantries increase, then they will say ERP is a tourists attraction
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You went wrong on your first part
"2x ln xe = -x ln 30e"
That's not how logarthims work.
Ans:
(xe^x)^2 = 30e^-x
2 ln(xe^x) = ln (30e^-x)
2 ln x +2 ln (e^x) = ln 30 + ln (e^-x)
2 ln x + 2x = ln 30 - xso
2 ln x = -3x + ln 30
ln x = -1.5x + 0.5 ln 30so a = -1.5, b = 0.5 ln30 = 1.7
Regards,
Eagle (Strategic Tuition)
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Originally posted by mancha:
I don't think you very blur one dah.
ERP reduces traffic therefore less chances of accident, less chance does not mean no chance.
Speeding will still be there despite the cameras, but the speed limit of the tunnel will space out the vehicles, and also enable better e-braking for those who obey the speed limitation, which will be the majority.
Road price can be instantly updated on the gantries, so can telling motorist to stop right there in their tracks.
ERP reduces traffic therefore less chances of accident
but but but...
reduce traffic means faster driving speed mah
and faster driving speed means increased chances of accidents mah...
so final result I still blur... increase + decrease.... how?
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What UltimaOnline said is true.
School teachers also have to plan for lessons after the holidays as well as attend courses. This is excluding going for CCAs that they are in charge of.
The only 'rest' they get from school holidays is not having the stress to face 40 unruly students in class. Other than that, school teachers do not even have proper vacation leaves... unless normal office workers
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1) Which protein powder are you talking about that contains Ma Huang and Yohimbe???
Pardon me for being ignorant, but I really dunno any protein powder that contain those.2) Ma Huang and Yohimbe are more of stimulants that are used in fat-loss products like Hydroxycut. None of us here advocate taking such fat-loss products at all.
Edited by eagle 01 Sep `08, 9:43AM
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