this condition is true if the X and the Y are lineary dependent, then there is unique solution, the X or the Y. and that's the problem. for that system, exist unique solution or infinite.
The expression comes from summing the eqs:
cAY+AY=2B...
please anyone can help me? it is so urgent since this is for draw the critical point and the critical isothermal for the laboratory. Or you can say me what's the critical molar volume or the critical volume for this gas, because I have the critical pressure and temperature.
Surely the process with that data is isochoric, then the Heat Q that must be provided to system is, without a doubt:
Q=int(n*Cv*dt)
This integral must be evaluted for final temperature an initial one. If the gas is ideal, then...
isochoric or isothermic
with that data I can say it isn't an adiabatic or isobaric, the it could be isochoric or isothermic process. Do you know if you must get that final pressure with volume variation? or the volume is constant?
Some other stuff: if this is an ideal diatomic gas then the...
vinst
you have the movement equation? if you have it and you have taken calculus you must know the vinst ist the first derivative of the function evaluated at the point you want to calculate vinst.
For the linear least-squares regression we can get:
y=ax+b
a=(Σxy-nxmeanymean)/(Σ(x^2)-n(xmean^2))
b=ymean-axmean
and their uncertaintities:
Δa=sqrt((Σ((y-(ax)-b)^2))/(n-2))/sqrt(Σ(x^2)-n(xmean^2))
Δb=sqrt((Σ((y-(ax)-b)^2))/(n-2))*sqrt((1/n)+((xmean^2)/D))
where...
basically are saying you that the function f(x,y) has a gradient equal to (∂f/∂x,∂f/∂y). The condition for a field to be gradient of some function f is the equality of mixed partial derivatives.
I have tried to find some information of the expresions for a least-squares parabola coefficients (including their uncertaintities), then I have tried to do it for myself using the minimum condition for partial derivatives as same as with the least-squares line, but the expressions of coefs are...
logarithms
since logarithmic function is the inverse of any exponential one, the logarithmic ones are for example in solutions of differential equations (in linear equations for example when you solve one with a series and then appears a logarithmic term for certain initial values), models to...
Suppose you have a teleski to climb a skiway of d=600m and θ=15º respect horizontal and μk=0.06 is kinetic friction coefficient in the cable. 80 skiers of 75kg (m=6000kg in total) each one wants to climb at the top at v=2.5m/s constant, What's the power that engine must provide in order to...
many times the divergence teorem is hard to apply, then you can try to solve that thinking about the hole has a charge opposite to the complete sphere in order to maintain the electrostatic condition.