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Can it be shown that x = a - Ae^kt satisfies dx/dt = k(a - x)? I trued this by substution and it doesn't work, and it's supposed to. When I did it, I found k should be negative in the first equation to make it work. Can anyone help out here? Thanks..

Is it possible for anyone to send me the statistics chapters from , say, the preliminary and HSC mathsquest books (or a similar set). I guess some of you have the disc as well as the textbook. I think there are only 2 chapters. If anyone has them, can you send to my email, culicine@hotmail.com...

Imagine you want to find the maximum area a rectangle can take when it is bounded on one of its edges by the x-axis and its opposite vertices touch a parabola (y = - x^2 + 6a^2 , where (-root6)*a < x < (root6)*a. I managed to solve this using derivatives and found the maximum area (in terms of...

I was having some trouble with the following questions. Can anyone help? Find the value of the real numbers, x and y, in the following: a. x / (1 + i) + y / (1 - 2i) = 1 b. x / (2 - i) + yi / (i - 3) = 2 / (1 + i) Thanks in advance!

Here's an algebra problem that I hope someone can help me with. Imagine you have a right angled triangle (height = h) and base = x. The perimeter is 12 units and the area is 7 square units. Thus, 7 = 1/2.x.h (area) and 12 = h + x + sqrt (x^2 + h^2) (perimeter) These two...