Recent content by 54stickers

Homework Statement Suppose that f is a continuous function on (a,b) and lim_{x \rightarrow a^{+}} f(x) = lim_{x \rightarrow b^{-}} f(x) = \infty. prove that f has a minimum on all of (a,b) The Attempt at a Solution I have not tried an actual attempt yet. The only think I can...

The question is: What is the minimum radius of curvature of a jet, pulling out of a vertical dive at a speed of v, if the force on the pilot's seat is 7 times his weight? The way I thought to answer this is just to say that, 7 mg, the net force on the seat will be equal to the...

Thanks everyone! I'll let the class know.

That's everything, our teacher said that we should use t = 5RC when the problems say 'after sufficient time' to charge the resistors fully

I don't know how to find q in that. Is it 40v?

Would that be 2q/C ? From Ctot = C/2 and q = CV

We used t = 5RC for time, that's the only thing we had.

My whole physics class could not colve this, we used the V = Vmax(1-e^(-t/RC)) equation, and Q= CV, but the Q could not be found to find C. Is there a trick to this?

I have a series rc circuit. 80 v battery, capacitor1, resistor1: 10M ohm, capacitor 2, then back to the negative end of the battery. Capacitor 1 and 2 are equal, after a certain time, the voltage on each capacitor is 40.0v. What is the capacitance of each capacitor? Thanks!

I see it now, thanks It's an old AP problem that I am doing to prepare for the test

So, I have the series of g(x) = e^{(x-1)^{2}} = 1 + (x-1)^{2} + \frac{(x-1)^{4}}{2} + \frac{(x-1)^{6}}{6} + ... + \frac{(x-1)^{2n}}{n!} and I am asked to find the series of f(x) = \frac{e^{(x-1)^{2}}-1}{(x-1)^{2}} for x \neq 1 and f(1) = 1. The Taylor series is centered about x = 1 I...

The substitution worked perfectly, Thanks! I am going to pinch myself for not trying that earlier.

I have an integral in my math text that I cannot seem to tackle, help would be appreciated. thanks! I am not really sure where to start. \int^{1}_{0}\frac{dx}{\sqrt{log(\frac{1}{x})}}

I am familiar with chain rule and implicit differentiation, but I don't know how to go about that approach either. also, what do you mean by 'first principles'?

Hello! I was wondering how I could find the following derivatives from the given function using Jacobian determinants. f(u,v) = 0 u = lx + my + nz v = x^{2} + y^{2} + z^{2} \frac{∂z}{∂x} = ? (I believe y is constant, but the problem does not specify) \frac{∂z}{∂y} = ? (I...