Recent content by furth721

Homework Statement evaluate the given trigonometric integral ∫1/(cos(θ)+2sin(θ)+3) dθ where the lower limit is 0 and the upper limit is 2π Homework Equations z = e^(iθ) cosθ = (z+(z)^-1)/2 sinθ = (z-(z)^-1)/2i dθ = dz/iz The Attempt at a Solution after I substitute and...

Oh yeah, the distance is .20sin(25) that was a typo on my part. I understand that because I've done problems like this before where the masses and charges were equal. To solve it you have to set the weight equal to Tcos(25) which is the y component of the tension and the force of the charge...

Homework Statement Suppose that two balls are suspended by identical threads of length .10m anchored to the same point. The pith balls have different masses and charges. The charge of one is 2.0 X 10^-7 C and the other one is 6.0 X 10^-8 C. Both threads make a 25 degree angle at...

A HA! That makes perfect sense now you have to raise the entire right side of the equation to the e not just ln|x| to the e power plus c to the e power, because you raised ln|y/(1-y)| to the e power, wow, thanks you definitely saved me from a lot of frustration

Im not sure how you ended up with y=-xc/(1-xc) when I combine the ln functions and raise to the e power I get y/(1-y)=x+C then you can change that into (1-y)/y=1/(x+C), then (1/y)-1=(1/x+C) I am not sure if that is the way you did it so can you please elaborate more on how you got y=-xc/(1-xc)...

I need help proving the general soultion to this equation, dy/dx=(y-(y^2))/x, is x/(x+C) where C cannot equal -x. When I separate the variables and integrate I get ln|y|-ln|1-y|=ln|x|+C, and I cannot make this look like the general solution. I'm not sure if I...