Answer:
<em>The Volume is 5.018 cubic units</em>
Explanation:
<u>Volume Of A Solid Of Revolution</u>
Let f(x) be a continuous function defined in an interval [a,b], if we take the area enclosed by f(x) between x=a, x=b and revolve it around the x-axis, we get a solid whose volume can be computed as
It's called the disk method. There are other available methods to compute the volume.
We have
And the boundaries defined as x=1, y=0 and revolved around the x-axis. The left endpoint of the integral is easily identified as x=0, because it defines the beginning of the region to revolve. So we need to compute
We need to first determine the antiderivative
Let's integrate by parts using the formula
We pick 
Then 
Applying by parts:
Now we solve
Making 
Applying by parts again:
The last integral is directly computed
Replacing every integral computed above
Simplifying
Now we compute the definite integral as the volume
![V=\pi \left[\dfrac{\left(2(1)^2-2(1)+1\right)\mathrm{e}^{2(1)}-\left(2(0)^2-2(0)+1\right)\mathrm{e}^{2(0)}}{4}\right]](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cleft%5B%5Cdfrac%7B%5Cleft%282%281%29%5E2-2%281%29%2B1%5Cright%29%5Cmathrm%7Be%7D%5E%7B2%281%29%7D-%5Cleft%282%280%29%5E2-2%280%29%2B1%5Cright%29%5Cmathrm%7Be%7D%5E%7B2%280%29%7D%7D%7B4%7D%5Cright%5D)
Finally
The Volume is 5.018 cubic units
Answer:
The positive ball would go first to the negatively charged plate.
Explanation:
After which, it would hold a more negative charge. Due to the negative charge, it would travel towards the positive plate. Thereby, it would transfer negative electrons to the positive plate once more. In doing so, it would transfer positive protons to the negative plate. After which, it would hold more negative electrons and be drawn towards the positive plate once more. The Process would continue until the once-positive and once-negative became neutral ( and were discharged.) Additionally, the ball hanging on the insulator thread would also be neutral and discharged.
Answer:
Kinetic energy is the energy due to motion. Potential energy is energy stored in matter. The joule (J) is the SI unit of energy and equals (kg×m2s2) ( kg × m 2 s 2 ) .
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Answer:
nothing interest, i just hate that part i love only the calculations
The answer is true. Gravity is the force that keeps us all on the ground.
