Can you tell me a generalized method to find the centroid when a curve in x-y plane is rotated about the x [b]or[b/] y axis.
And one last thing is that how can I use
\overline{y}= \frac{\int\int y dydx}{\int \int dydx}
and
\overline{x}= \frac{\int\int x...
\overline{x}= \frac{\int\int x dydx}{\int \int dydx}
In this expression, what do u mean by xdydx.
And by 3d I meant when in xy-plane you rotate the curve about x or y-axis to form a 3d shape. like if you rotate a line y=kx, about the x axis, yo will get a cone so how will you find its...
In my Questions I usually have to calculate the Centroid of a curve whose equation is given!
I don't know the formula which are used it that, and I have searched on google too and couldn't find anything useful. Can someone provide me with formulas for how to calculate centroid of 2 and 3...
I think you have misread. What I have typed is 9231 Further maths!
And please tell me from where to start!
I haven't even read about it in any books of mine.
I have Complete series of Further Maths 1, 2 & 3 for OCR and Further Pure Mathematics by brian gaulter and mark gaulter and complete...
Also I have a question that find a non-singular matrix P and a diagonal matrix D such that (A^5) = PD(P^-1)
Where A is a 3x3 matrix
A is given but I don't know how to put a matrix in a post!
Sorry
they are the people who set out the question paper of 9231 Further maths.
So m^2 will be (PD(P^-1))*(PD(P^-1))
so P * P^-1 = I so it will be PDPD.
Am I right?
Hi,
I get a lot of questions about calculating M^k, where M is a square matrix!
They say you can use an equation like M^k=PD(P^-1) where D is a diagonal matrix.
I don't know how to calculate this!
Any help will be appreciated!
P.S. Sorry if this is in the wrong section!
I think you have to use some kind of formula like when a cubic equation has roots (alpha), (beta) and (gamma) than to find the sum of α2 + β2 + γ2 you basically use
α2 + β2 + γ2 = (α + β + γ)2 - 2(αβ - βγ - αγ)
The question is :- Find the mean value of (cos 2x)7 with respect to x over the interval 0 ≤ x ≤ 0.25(pi), leaving your answer in terms of (pi).
I just don't know the formula for calculating this so if anyone call tell me that hopefully I will be able to solve this question by myself :)