By Stokes' theorem,
where
is the circular boundary of the hemisphere
in the
-
plane. We can parameterize the boundary via the "standard" choice of polar coordinates, setting
where
. Then the line integral is
We can check this result by evaluating the equivalent surface integral. We have
and we can parameterize
by
so that
where
and
. Then,
as expected.
Answer:
1.08
Step-by-step explanation:Simplify the radical by breaking the radicand up into a product of known factors.
The only whole numbers that multiply together to equal 22 are 1 x 22, and 2 x 11.
Unfortunately, neither of these pairs add OR subtract to equal 11.
Answer: The initial volume is 593.76mL
Step-by-step explanation:
As you do not say anithing about the pressure, i guess that the pressure remains constant.
If the gas is an ideal gas, we have:
P*V = n*R*T
where P is pressure, n is number of moles and R is a constant.
Now, initially we have:
P*Vi = n*R*315°C
finally we have:
P*825mL = n*R*452°C
Now we can take the quiotient of those two equations and get:
(P*Vi)/(P*852mL) = (n*R*315°C)/( n*R*452°C)
Now we have:
Vi/852mL = 315/452
Vi = (315/452)*852mL = 593.76mL
So when we expand the gas at constant pressure, we increase the temperature.
The answer should be y=-1/7x
