Recent content by Zerius

Homework Statement This is really a question that I can't figure out at work right now, so it is a real life example of (an ODE?) math problem. reservoir height (ft) as a function of Volume (Million Gallons) h(V) = 0.001V3-0.04V2+1.7802V reservoir drain as a function of time...

How does one deal with a delta squared ? For example, volume is a function of del Diameter and del Length. If i let v = d^2(pi)L/4, and then call the d and L del. d and del L, when i separate for d i get del d^2 So I'm wondering if there are any special rules for squaring a "del"

Thanks everyone, that was in preparation for my final today, which I hope I did not fail. Oh well! This is from a first year single variable differential calc course @ UBC.

Thanks, it was actually x+9 as you suggested. much easier to solve in this case, I conjugated the top which brings the Top to "x" and the bottom "sqrt(x)(sqrt(x+9)+3)" division of the variable brings \frac{\sqrt{x}}{\sqrt{x+9}+3} which makes lim x-> 0 go to 0/6 = 0 but I am still...

Homework Statement lim sqrt(x-9)-3 x->0 sqrt(x) Homework Equations l'hop? The Attempt at a Solution as far as i got was conjugate the top and arriving somewhere where it is still undefined. =(

>.< ok that makes more sense now. I will try to hatch this in my brain. Thanks George Jones!

umm dy = (3x^2)dx?

then it is 3x^2, that's would be dy/dx. :S how about dX^3/dX? is it the same? OH or is it like dy/dx is the same as d/dX so doesn't matter what it is at the top?

delta V / delta L times delta L = delta V the delta L's cancel. they do it on wikipedia too like all of a sudden http://en.wikipedia.org/wiki/Coefficient_of_thermal_expansion it becomes 3Lo^2 and I don't understand

Volume = L^3, for a cube? i think that's the relationship there

Hi, I'm in first year engineering and I have trouble understanding where this formula comes from in determining the relationship between the coefficient of volume expansion and the coeff of linear expansion. dV=(dV/dL)*dL = 3L^2*dL now i know that they changed the dV in the brackets to...