Recent content by kyrax

Homework Statement test if (1+4^n)/(1+3^n) is convergent or divergent. Homework Equations The Attempt at a Solution using the ratio test. i got it equal to 5/4 which is > 1, so it diverges. can someone check this? what other methods are available?

Homework Statement integral of cos(x)/(x^4) Homework Equations The Attempt at a Solution tried using integration by parts but lead to tons of work!. is there a simpler way?

Homework Statement Find the equivalent capacitance of the picture in the attachment file Homework Equations The Attempt at a Solution The circuit is neither in parallel or series. I tried breaking it up into series and parallel but it seem too easy to be correct. Any tips on solving this?

thanks. i think you answered both my questions

im not an expert so I am not 100% sure but... a=F/m the forces acting on each other is equal but the masses are different. the proton, which has a bigger mass, will have a slower acceleration the electron, which has a smaller mass, will have a faster acceleration. in my conclusion, i think...

Homework Statement 1)Coulomb's law states that the electric force becomes weaker with increasing distance. Suppose that instead the electric force between two charged particles were independent of distance. In this case, would a charged comb still cause a neutral insulator to become polarized...

yes, it should look like that. thanks. i don't know how to find the forces. would it be like this? assuming the Q's are: Q1(top left), Q2(top right), -Q3(bottom left), -Q4(bottom right) FQ1=[k(Q1Q2)/x2]+[k(Q1-Q3)/d2]+[k(Q1-Q4)/(x2+d2)]? and i do this for Q2, -Q3, -Q4?

Homework Statement Consider the two parallel electric dipoles shown. + (Q) + (Q) | (Distance=d/2) ------------------------------------------x------ - (-Q) - (-Q) | (Distance=d/2)...