Answer:
![y = \cos[\ln x + \ln (5\cdot x - 2)]\cdot \left(\frac{1}{x} + \frac{5}{5\cdot x-2} \right)](https://tex.z-dn.net/?f=y%20%3D%20%5Ccos%5B%5Cln%20x%20%2B%20%5Cln%20%285%5Ccdot%20x%20-%202%29%5D%5Ccdot%20%5Cleft%28%5Cfrac%7B1%7D%7Bx%7D%20%2B%20%5Cfrac%7B5%7D%7B5%5Ccdot%20x-2%7D%20%5Cright%29)
Explanation:
Let
and we proceed to find the derivative by the following steps:
1)
Given
2)
Distributive property
3)
4)
/
/
/Rule of chain/Result
Answer:
a) Mechanical efficiency (
)=63.15% b) Temperature rise= 0.028ºC
Explanation:
For the item a) you have to define the mechanical power introduced (Wmec) to the system and the power transferred to the water (Pw).
The power input (electric motor) is equal to the motor power multiplied by the efficiency. Thus,
.
Then, the power transferred (Pw) to the fluid is equal to the flow rate (Q) multiplied by the pressure jump
. So
.
The efficiency is defined as the ratio between the output energy and the input energy. Then, the mechanical efficiency is 
For the b) item you have to consider that the inefficiency goes to the fluid as heat. So it is necessary to use the equation of the heat capacity but in a "flux" way. Calling <em>H</em> to the heat transfered to the fluid, the specif heat of the water and
the density of the water:
[/tex]
Finally, the temperature rise is:

Answer:
vacancy formation energy of Ni is 1.400 eV
Explanation:
given data
number of vacancies in Ni = 4.7 x
atomic weight = 58.69 g/mol
density = 8.8 g/cm³
solution
we get here N that is
N =
...........1
N = 
N =
and here no of vacancy will be
Nv =
.................2
put here value

take ln both side
Qv = 1.400 eV
so vacancy formation energy of Ni is 1.400 eV
Answer:
The answer is VN =37.416 m/s
Explanation:
Recall that:
Pressure (atmospheric) = 100 kPa
So. we solve for the maximum velocity (m/s) to which water can be accelerated by the nozzles
Now,
Pabs =Patm + Pgauge = 800 KN/m²
Thus
PT/9.81 + VT²/2g =PN/9.81 + VN²/2g
Here
Acceleration due to gravity = 9.81 m/s
800/9.81 + 0
= 100/9.81 + VN²/19.62
Here,
9.81 * 2= 19.62
Thus,
VN²/19.62 = 700/9.81
So,
VN² =1400
VN =37.416 m/s
Note: (800 - 100) = 700