Thanks bobbym for replying
Well I can't get how he made this expansion ?? Is it allowed ? I see those two answers contradicting I understand well that tan(x) is unbounded at x = pi/2 and fourier series is only applicable to periodic functions where f (x) is defined for all real x
how could he manage it and what does his phrase 'This series has very poor convergence properties (look at x= pi/4). So the equality
is only in some sense of generalized functions.' means ??
I wanna know what misunderstanding I suffer here
sorry for my bad language
Which of fourier representations is suitable for f(x) = tan (x) : fourier trigonometric series, fourier half-range expansion , oe fourier integral and why ?
Well I searched and found that :
1- tan x cannot be expanded as a Fourier series .Since tan x not satisfies Dirichlets
conditions.(tan x has infinite number of infinite discontinuous).
2- the pic (sorry posting links is not allowed for me )
the first answer is clear for me but I can't understand the pic I go confused :S
THNX in advance
Find the volume generated by revolving the area bounded by Y^2 = X^3 , X=4
about the line X=1
Type y^2 = x^3 , x=4 on wolframalpha to check the area I mean
I can't understand how the area will revolve about a line lying within the area.
Many thanks in advance.:)
In our book of analytic geometry
we have a title The canonical form of a line
it is the equation of a line passing through a point p1(x1 , y1,z1) and parallel to a vector whose Direction Ratio is a:b:c
under another title The Symmetric (Two point) form of a line
is the equation pf line passing through the 2 points p1 (x1, y1, z1) & p2 (c2 , y2 , z2)
so what is the difference between both of them ?? I can figure out the difference between them and the parametric form but those two can't get it ???!! am so confused