Recent content by Muzly

OK - I'm working on Toricelli's Principle at the moment. That is, a tank where there's a small hole at the bottom and we're supposed to plot h (height) vs. t (time), V_jet vs. t, mass flow rate vs. t, and change in height vs. t. Now - I get a linear graph for V_jet and mass flow rate vs...

Well aren't I a bit silly - should have long-divided then used partial fractions! Whoops - my bad! :redface:

OK, here's the question: Differentiate x.ln(4-(x^2)) Which is: ln(4-(x^2)) - (2(x^2))/(4-(x^2)) Now, find an antiderivative of (x^2)/(4-(x^2)). Answer says -x + ln( (2+x)/(2-x) ) +c How do I get that? The comments say "Many failed to recognise the need to divide" - What does that...

I've looked at a number of explanations for the Maclaurin series of cos(x) yet none have given an easily understood answer, i was wondering if anyone has a way of explaining it when it is used as only a part of a function eg. use that Maclaurin series of cos(x) to obtain the Macalurin series...

Where do I begin on that? What should I take into account when creating my own inconsistent sets?

Any help on this one would be greatly appreciated. Due to that I can't find much of a connection (due to lack of inconsistent set of linear equations), and the fact that I'm unable to explain it properly, can someone please help me? Here's the question: If a system of linear equations is...

Exactly as I thought, but I thought I'd come on here for confirmation. But, the vector c must lie along the line of intersection of P1 and P2. That's what's stumped me. And it further asks if vector c (along the line of intersection of P1 and P2) is parallel to the vector b (parallel to...

Hi, first poster here. I'm stuck on a question in first-year University Maths. I'll put down what I know where I've done it. Question: Consider these linear equations: x + 2y - z = 2 2x + y + 3z = 5 x + 5y - 6z = 1 for the planes P1, P2 and P3 respectively. (a) Using Gaussian...