kurt, rln(r^2) is a dream to solve. but converting the "r*(cos+sin)" to just the r is where you are losing me. i don't understand what you mean by "bound each by 1"
this is what i am picturing when you say that
-1=<cos=<1
-1=<sin=<1
yet i don't know how ^that helps at all.
wr
or do you...
yeah, I can't figure out part (h) either, any ideas?
Let Ω = R2 \ {(0,y); y ≥ 0}. Find a closed form formula for the potential of F on Ω.
I don't even know where to start with this one
ok yea, for c its 2pi, and d its zero, so g) i put 0=<t=<2pi.
or wait, your saying, that since it doesn't pass through, it either encloses, or it doesnt,. so there are 2 possible answers, 0 and 2pi, 2pi if it is enclosed, 0 if it is not enclosed?
modtor, for g) when you integrate it without any parameters you get just t as the indefinite answer,, does that mean all possible values are between 0 and 2pi or if not, than what?
i hate the squeeze theorem. i am never going to use it again after calc3, i had a teacher ruin it for me,
KURT-
r -> 0 good call, i figured that part on my owner about five minutes after. but i don't know if its just my awful teacher, but i am not seeing what you are saying in "you can...
compute the integral of ...i can't find the integral symbol, but is the standard integral sign with a circle in the middle of it and a c to the bottom right of it.
F*dr where C is an arbitrary closed smooth contour that does not enclose the origin.
compute the limit lim as x,y --> (0,0) of (x+y)*ln(x2+y2)
i would use polar coordinates if (x+y) was (x^2+y^2) but that not being the case is messing with me.
and than another one is the same parameters, but of (x^2*y)/(x^4+y^2). for this one i attempted to do the partial deriv of both x...
Good advice, i did,
So, as the DLS machine is on it measures particle size over time correct? Do i keep measuring over time to see when the value strays from the norm?
And as i am still studying and only a sophomore engineer/physicist, could you please dumb this down, "If you trace the autocorrelation of laser light scattered from your sample it will show fluctuations depending on your particle size distribution."
That is a phenomenal concept Because the leathers/polypropelenes are what i have the most samples of. I was looking a "Wyatt" instruments and didn't find any good candidates. Or you i just have to analazye the graphs after numerous trials?
thank you for your reply by the way, very intelligent!
I am interested in how PSD (particle size distribution) affects the transmittance of a material and I am trying to find an accurate process to measure it so that I can test and gather data on how it affects it.
I don't know if transmittance is the proper word for what i want to study, but all...