a. I've attached a plot of the surface. Each face is parameterized by
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with
and
;
•
with
and
;
•
with
and
;
•
with
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; and
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with
and
.
b. Assuming you want outward flux, first compute the outward-facing normal vectors for each face.





Then integrate the dot product of <em>f</em> with each normal vector over the corresponding face.










c. You can get the total flux by summing all the fluxes found in part b; you end up with 42π - 56/3.
Alternatively, since <em>S</em> is closed, we can find the total flux by applying the divergence theorem.

where <em>R</em> is the interior of <em>S</em>. We have

The integral is easily computed in cylindrical coordinates:


as expected.
Answer:
The horizontal velocity is 
Explanation:
From the question we are told that
The mass of the pumpkin is 
The distance of the the car from the building's base is 
The height of the roof is 
The height is mathematically represented as

Where g is the acceleration due to gravity which has a value of 
substituting values

making the time taken the subject of the formula


The speed at which the pumpkin move horizontally can be represented mathematically as

substituting values


Answer:
33.83W/m²
Explanation:
The intensity of the speake at the surface is
I = P/A
I = 2.03W / 0.06m²
I = 33.83W/m²
Pure substances can be elements made up exclusively of one kind of atom, or they can be compounds made up of molecules that include two or more elements. Mixtures can be homogeneous or heterogeneous depending on how finely mixed the components are.
Answer:
Hey
Yes, this is true.
As some people have it wrong, waves in the water (ocean) are not waves of moving water, rather the wave is moving through the water. A wave is a disturbance of a medium not the meduim moving.