Recent content by tony24810

Gosh, this is rather difficult. Give me some time, I'll think for a while longer.

Homework Statement A teacher would like to distribute 20 candies to 5 children, each of which receives at least two candies. (a) Find the probability that at least one child receives at least 6 candies. (b) Find the probability that at least one child receives at least 7 candies if at least...

Thanks Sammy! I think I did it! is the answer Y^2 = 2x - 2 ? haha the sum or root really helps! last night i was thinking it again and again and i thought it has to pair up like t = x and -1/x, it probably is, but it doesn't get me the general point. actually, maybe it does, let me try this...

please find my working out in attached pdf

Homework Statement A line passing through the point (1,0) cuts the curve Y^2=4x at two points A and B. Find the equation of the locus of the mid-point of AB. Homework EquationsThe Attempt at a Solution the graph is parabola, the solution should also be a parabola with x-intercept at (1,0)...

never mind i managed to solved it myself, please ignore this post. i actually made mistake in my differentiation with the negative indices.

got it i tried again this time giving each equation their names, suddenly spot the identity that i didn't see before. hahahaha

haha omg i got it

show that the substitution z = y^-(n-1) transforms the general equation dy/dx + Py = Qy^n, where P and Q are functions of x, into the linear equation dz/dx - P(n-1)z = -Q(n-1). (Bernoulli's equation) Well, I looked up Bernoulli's stuff on internet, found the usual air flow equation but not...

It has a β^2 term leftover.

Homework Statement Let k be a constant. If α and β are the roots of the equation 3x^2 + 2x - k = 0, find the value of 3α^2 - 2β in terms of k. Homework Equations The Attempt at a Solution Obviously, the usual αβ = -k/3 α + β = -2/3 has been written but I couldn't put them...

OMG i feel so unintelligent, i thought these questions are all separate! No wonder I don't understand half of the questions in other events... well thanks for pointing it out anyway

There weren't options in the question. I have attached the original document in previous post. Some of the questions are somewhat confusing I think. Like question 3, I think the answer can only be an expression, not a value, but it doesn't say. I think the answer is 11/6 log2 (Q) ], but...

O yes this is cool! I have actually got to the equation you wrote, but didn't realize that it means infinite sets of solution! Thanks!

Here's the paper. Well I also failed to do question 2, please help if possible^^. thanks!