Thanks for the info this gives me a good jumping off point to start to actually understand the different methods. Do you have any suggestions as to a method for pressure differentials or is it included in the methods? It is not necessarily that I want to design the blades but for my...
Hi there, I think this is in the right section if not please inform me and move my thread. I want to design and build a UAV in a copter format whether it be quad, hexa, octa, ect. I want to make a modeling software so that I can design the most efficient blade/motor for my specific needs. I am a...
yes i am using a limit and i forgot about the 2, i guess it converges to 1/2 then? i had forgotten that the ratio test needed a limit because i wasnt in class when we learned it.
Using the ratio test because there are constants raised to powers i get..
(2^(n+1)/(4^(n+1)+1))*((4^(n)+1)/2^n) then using some algerbra
(4^(n)+1)/(4*4^(n)+1) and some more algerbra...
gives me 1/4 which is <1 therefore the series converges?
Homework Statement
Can you if given a sigma notation for an infinite series
Ʃ 2^n/(4^n+1)
rewrite as,
Ʃ 2^n/(4^n+1^n)
then doing the root test can you
lim n→∞ n^√abs((2/(4+1))^n)
which equals 2/5, and
2/5<1, therefore can i conclude that the series above converges?
Sorry...
Homework Statement
a region that resists a body of water follows the curve y=.3x^2 from 0<=y<=240
using water density of 1000 kg/m^3 and g of 9.8 m/sec^2
Homework Equations
0 to 240∫g(rho)(240-y)2(sqrt(y/.3)
The Attempt at a Solution
9.8(1000)(2)(240^(3/2)(292.199-.730297(240))
i...
Homework Statement
∫sin(t)cos(2t)dt
Homework Equations
cos(2t)=1-2sin^2(t)
The Attempt at a Solution
∫sint(t)(1-2sin^2(t))dt
but where do i go from here? i can't use substitution. or parts?
Yes, I believe have.
Using prime notation:
ln^2(6x)'
u=ln^2(6x)
u'=2ln(6x)ln(6x)'
u'=2ln(6x)/(6x)*(6x)'
u'=2ln(6x)/(6x)*6
since ((6x^1)' = *Const*x^n=*Const*nx^n-1 in my case 6x^1 = 1*6x^1-1
the 6's cancel and you are left with
u'=2ln(6x)/x :)
Hi all this is my first post hopefully i do it right.
Homework Statement
integrate ln^2(6x)dx
The Attempt at a Solution
*integral* ln^2(6x)dx
u=ln^2(6x) dv=dx
du=(2ln(6x))/x dx v=x
xln^2(6x)-*integral*x(2ln(6x))/x dx
xln^2(6x)-2*integral*ln(6x) dx
u=ln(6x) dv=dx
du=1/x...