a. I've attached a plot of the surface. Each face is parameterized by
• with and ;
• with and ;
• with and ;
• with and ; and
• 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:
Explanation:
Given:
two workers push a crate.
- Force by first worker,
- force by second worker,
- mass of crate,
(Assuming that both the workers push in the same direction.)
We know that,
<u>Acceleration is given as:</u>
Density = mass / volume
So density =567.5/50 = 11.35 g/cm3.
Farenheit is the best to measure accurate temperature because, It can go into the negatives(-) and unlimited positives(+). Celcius(C) only goes from 0-100°C Stating that water freezes at 0°C and Boils at 100°C. Farenheit has unlimited temperatures because as time goes by we continue making new discoveries in science.
I Hope This Helps!!! :)