Recent content by blursotong

HI, I found a similar qns and were asked to a)draw the free body diagram of the ball and sliding collar b)calculate y which is 2Lcos(gama) in this case, as a function of omega, that is the angular speed. c)the min speed of rotation for th eball to "fly" (gama > 0) anyone has any idea/clues on...

so alternating series of tan(pi/n) converge conditionally for n>3 only ? for n>0 it is diverge?

i don't think you can do it that way. You can't simply multiply the y over and integrate wrt x and treat y as constant. opps! and sorry i read ur qns wrongly. (5+7y^2)dy/dx +(4x+2)y = 0 this is 3rd degree DE? think i haven learn this yet..haha..sorry! =P

i have a question regarding adsolute and conditional convergence of alternating series. - i know that summation of [ tan(pi/n) ] diverge, but how do we proof it converge conditionally? (ie, (-1)^n tan(pi/n) ] can Leibiniz's theorem be used in this case? but tan(pi/2) is infinite? any...

(5+y^2)/y = (5/y) + y when you integrate (5/y) + y , you should get 5Iny + (1/2)y^2 and when you shift your intergrated x components to the left side, shouldn't it be positive? thats what i think..haha

ahah! my wrong..it should be jus cube root of y... thx for pointing out! =D

yup.i got them now. i get (jus for the -ve x portion) -1 < x < -sqrt y with 0< y< 1 and -1 < x < -cube root y with -1< y < 0 thanks a lot for your guidance=D

opps i only can attach files when i post a thread? can't seem to be able to upload the edited graph here??

opps..i was wrong, we should draw horizontal lines instead. and yup.. i get jus (for the -ve x portion) -1 < x < sqrt y with 0< y< 1 and -1 < x < -x^3 with -1< y < 0 using the these lines as a guide..

hmm..to find limit of x integration we draw vertical line? so when i split the area to three sections, their upper limits is cube root y or sqrt y and the lower limit is 0? yea, but according to the answer i have, it uses limits of x integration as -1..and i don't understand why? could you...

opps..haha..yup.. thanks a lot for your help! anw, can you help me in another multiple integration question too? no one replied yet=(

wow..thats a great hint. so its lim of [ {(x+1)^n /(n+1)!} * {(n!)/(x)^n} ] which gives lim {x/ (n+1} and when n tends to infinity the limit becomes zero ...so the radius of convergence is - infinity to + infinity??

cause i use lim (e^(n+1)/ e^(n)) and i got e? do you mean i use the coefficient of taylor series for e^x = 1 + x + (x^2)/2 + ... then e^(x+1) = 1 + (x+1) + (x+1)^2/2 +... then divide ??

[sloved]reversing order of integration of double integral qns. Homework Statement pls refer to attached picture. Homework Equations The Attempt at a Solution intially upper and lower limits are , x^2 < y< x^3 and -1<x<1 sketched y=x^2 and y= x^3. => sqrt(y) =x and cube root...

[sloved]Does anyone know how to find radius of convergence for sin x and e^x We know that to find radius of convergence we use ratio test (ie lim {a_n+1} /{a_n}) Can this method be used for sin x and e^x? ( whose radius of convergence is -infinity and infinity) if radius of convergence is...