Recent content by TheoMcCloskey

hint: move that line for "height" over to the right until it intersects at point D. Visualize two triangles that it could form.

I don't see an analytical solution. For a numerical solution, consider the following: With \begin{align*} m &= 100 + 200 \cdot \frac{\beta}{\beta+a} \\ 50 &= m \cdot e^{-19.9a} - 200 \cdot \frac{\beta}{\beta+a} \cdot e^{19.9 \cdot \beta} \end{align*} Where \beta = \ln(1/2) / 26.8 \approx...

Actaully, there is sufficient information. Recall the 4.5 dimension. OP indicates that radius is tangent at upper left point (let's call it point "A"). Let's use that point (A) as an origin in the x,y plane. The equation of a circle is (x-a)^2 + (y-b)^2 = r^2 where point (a,b) is the center of...

Well, I tried to be cute with the short reply, and I blew it! New hint: "outer product"

Hint: "inner product"

You may want to look at something like http://en.wikipedia.org/wiki/Binomial_series Assuming neither x or y are zero (and both are positive), I would recommend factoring out the larger of x or y and let your task reduce to that of finding (1+z)^{1/2} with z<1. For example, assume y < x...

another hint: what is \pi^2 equal to?

Maybe I'm missing something, but, if the user wants Cv and Cp from inputs R and Gamma, why not just use the last two equations (3) and (4). Equation (4) is just a re-write of equation (1). Also, Equation (3) is just a re-write of equation (2) using equation (1) (I believe equation 3 is...

eipeplusone - as Hallsofivy mentioned - expand his equation on the left hand side in terms of a polynomial in x making sure you multiply a,b, and c through. Now collect terms of a, b, and c into coefficients to this polynomial. Equate those coefficients on left to like powers of known...

Your method and solution looks correct.

For this situation, I would highly recommend FreeBasic.

I get a slightly different answer. Check your derivative of the first term on the left.

Drudge - I plugged the numbers into your suggested application (from www.alcula.com) and I get the Excel results. It looks like you switched the x and y data sets. Enter the x values first, then the y values, and you should get the Excel results.

Texmaker has this feature built in and it can be quite usefull. http://www.xm1math.net/texmaker/

Your function "f(x)" does not agree with your formula at the top of your post. Is the last term in the bracket term of your equation "T_1 * T_2" or "T_1 + T_2".