Recent content by blue mango

Here is what I started with: http://www.texify.com/img/%5CLARGE%5C%21w%3D%5Cpi%28P_0-P_L%29R%5E4%5Cvarrho/8%5Cmu%20L%29%5Cleft%5B%20%281-%281-%5Cvarepsilon%29%5E4%29-%28%281-%281-%5Cvarepsilon%29%29%5E2%29/%28ln%281/%281-%5Cvarepsilon%29%29%5Cright%5D.gif Here is what I have now: <img...

I did this and that is how I ended up with the big jumbled mess of a polynomial that I have now. And yes x does mean epsilon.

Homework Statement w=(PI*(P0-PL)*R^4*epsilon^3*row)/6*mu*L)*(1-1/2*epsilon) show that this can be obtained using w=(PI*(P0-PL)*R^4*row)/8*mu*L)*((1-kappa^4)-((1-kappa^2)^2/ln(1/kappa)) by setting kappa equal to 1-epsilon and expanding the expression for w in powers of epsilon. this requires...

I GOT IT! Thank you so much...you were extraordinarily helpful :)

thank you for your suggestions but I'm still a bit confused. It has been a long time since I've done stuff like this so its a bit harder for me to understand than usual. I'd appreciate if someone spelled out a few steps at least to get me started (if you don't mind) and hopefully I can figure...

actually wouldn't it just be 0? then dy/dx is e^2x/x

yes...thanks for reminding me of that. the left side isn't a problem but how do you differentiate sin(y) with respect to x?

Homework Statement if x^2*y-e^2x=sin(y) find dy/dx The Attempt at a Solution I tried solving for y but that seems quite impossible so I was wondering if anyone had any other suggestions on possible solutions. Thanks

Thanks for pointing that out Office Shredder. There was a negative that I had forgotten to carry over. So I got -1.262 with 6 terms in the e^x Taylor series.

I plugged in the Taylor series for e^x and took that out to 6 terms then integrated it from 0 to 1 and got 1.262...does that sound about right?

I need help solving the following (it is due tomorrow :frown: and it just got assigned yesterday ): use series methods to obtain the approximate value of integral(from 0 to1) of (1-e^x)/x dx What I have thought of so far is to use the Taylor series approx for e^x and carry that out to a few...

Homework Statement prove that Acosx+Bsinx=sqrt(A^2+B^2)sin(x+alpha) where tan(alpha)=A/B The Attempt at a Solution none so far except that sin(x+alpha)=sinx cos(alpha)+cosx sin(alpha) Any help is appreciated. This is due tomorrow (It was just assigned yesterday). I've taken a year...