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A manufacturer wishes to make a can, which is to be in the shape of a circular cylinder, that holds 1 litre. Find the dimensions of the cylinder with the condition that the area of metal required to form the can is to be a minimum if the can is to be closed. For me: Please show standard...

ln(1+2t) = 5 for t thx

find the value b if b=cos(2b - 30)

<DIR>solve for x : e^x = 1/2 </DIR>

Please help A set if 100 cards numbered 1 to 100 is placed in a box and one drawn at random. Find the probability that the card chosen will be odd or less than 30.

now that everyone are getting uai estimates, i want one too:wave: schools rank in the late 200s in 2007 English advanced 82% 10/13 Mathematics 91% 2/24 Biology 75% 2/8 Chemistry 78% 5/19 English extension I 39/50 2/6 Economics 89% 4/18 thx

I 've read that in uni application there is the preliminary round, main round and late round. Can any experienced person explain how it works? Does the UAI requirement tend to drop as each round goes by? thx.

what's the effect of calcium ion on aquatic life? text book seem to say it is harmless.

A moving particle has an acceleration a metres per second per second at time t seconds. The acceleration of the particle is given by a=2π^2 (cosπt). At time=0, the object is at the point x=0 and has a velocity v=π metres per second. Show that the displacement, x , is given by x=-2cos(πt) + πt...

A population in a certain city is growing at a rate proportional to the population itself. After 3 yrs the population increases by 20%. How long will it take for the population to double. thx

I am finding it difficult to draw links between the texts I 'm doing (TBS and Anil's ghost) In ext eng, what kind of links do markers expect? Comparing difference, similarity...? or what? thx

I've came second in three of my subjects, which is frustrating after reading the scaling process. If the gap between first and second is very small, does it still mean that if I beat the first person by a lot on the external, he still get to take my external mark?

Sorry about the empty spam posts, hopefully it is okay this time. Anyway my question is this: I am currently doing better in ext english than advance. Assuming this 'trend' applied in both ext 1 & 2 english in the HSC, and that I am doing 12 units and advance english is my worst 2 units...

Find expression for: The point P(x,y) moves so that its distance PA from the point A(1,5) is always twice its distance PB from the point B(4,-1). Ans: x^2 + y^2 -10x +6y +14 =0 If you have the jones & couchman book it is EX: 17.2 Q6 Unfortunately they only have examples for equidistant...