Homework Statement
(cos2x)^2
Homework Equations
The Attempt at a Solution
I'm not sure if it is cos^2(2x) or cos^2(4x) or what. Should I use an identity to simplify it to make it easier to solve? Please help! :)
Homework Statement
A wire of resistance 5.0 Ω is connected to a battery whose emf ε is 2.0 V and whose internal resistance is 1.0 Ω. In 2.0 min, how much energy is (a) transferred from chemical to electrical form in the battery, (b) dissipated as thermal energy in the wire, and (c)...
Thanks! I wondered if it was a separable equation, but because the rate in is different from the rate out, isn't it linear, but not separable? That was sort of also holding me back...
rate in= (4L/s)(0g/L)=0
rate out=(10L/s)(y(t)/(1000-6L))
then dy/dt-(10y)/(1000-6t)=0
I(t)=(1000-6t)^-10/6 (took a few steps to find, but I think it's right).
Homework Statement
we have a tank with 400L of water with Cl, 0.02kg of Cl. Fresh water is pumped in at 4L/s and out at 10L/s. Find the amount of Cl in the tank as a function of t.
Homework Equations
Use of differential equations
The Attempt at a Solution
I set up V(t)=400-6t in...
I understand calculus, at least derivatives and integrals, so you can move it there if you want. Thanks SO much for your help. I thought it belonged here because it was in a chemistry tutorial, though it doesn't seem much like chem.
Homework Statement
Vancouver Island has an area of 33000km^2 but no wombats. If we release a pair of wombats on Vancouver Island and their annual rate of increase is 50%, how many years will it be before the wombat population reaches one pair per km^2?
Homework Equations
[A]t=[A]oe^-kt...
I just got my calculus midterm back, and I lost one mark on an area problem. I did the problem properly, but I may have made a mistake at the end.
I end up with arctan1-1/2ln3-1/2ln1 (this step did not have an "x")
I simplified this to pi/4-1/2ln3 (here, the grader put a 2 over my 3 in ln3)...
Sorry...it seems like some people have viewed, but haven't posted yet. Is there anything I did wrong or should add? Basically, I'm just trying to figure out how the latent heat of fusion is incorporated into the two equations I set up above.