Answer:
A. Different volumes of water are moved different distances.
Step-by-step explanation:
Integration is used to find work required to pump water out of a tank because different volumes of water are moved different distances and to sum it all we the tool required is integration. Moreover, work done is a path function or an inexact differential. It does depend upon the path followed by the process.
hence the correct answer is A.
Answer:
The angle of elevation of the sun from the ground to the top of a tree is
.
Step-by-step explanation:
As given
The sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long.
Now by using the trignometric identity .

As figure is given below .
AB = Perpendicular = 10 yards
BC = Base = 14 yards
Putting all the values in the trignometric identity .




Therefore the angle of elevation of the sun from the ground to the top of a tree is
.
Answer:1866
Step-by-step explanation:
Given
n=200
x=118
Population proportion P=
=0.59
=0.005
Realiability =99%

Margin of erroe is given by 
0.03= 
85.667=![\sqrt{\frac{N}{0.6519}}[tex]N=1865.88[tex]\approx 1866 Students](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7BN%7D%7B0.6519%7D%7D%5Btex%5D%3C%2Fp%3E%3Cp%3EN%3D1865.88%5Btex%5D%5Capprox%201866%20Students)
Answer: 54$
Explanation:
Total cost = 16 + 16 + 22
Total cost = 32 + 22
Total cost = 54