Answer:
C
Step-by-step explanation:
The rate of change is measured using
in the closed interval [a, b ]
Here [a, b ] = [35, 45 ]
from the table f(b) = f(45) = 34.1 and f(a) = f(35) = 31.4, hence
rate of change = = = 0.27 → C
Answer:
6.5
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
18:30 equivalent to 6:10 and also 12:20 equivalent to 6:10
Parameterize the paraboloidal part by
and the planar part by
both with and .
For the paraboloidal part, take the normal vector to be
and for the planar part,
The flux over the paraboloidal part (call it ) is
and over the planar part (call it ),
but this integral vanishes because the dot product is 0. So the total flux over (the boundary of the given region ) is
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Confirming with the divergence theorem: the divergence of the given vector field is
By the divergence theorem, the flux is equivalent to the volume integral
(where the integral was set up with cylindrical coordinates)