Answer:
The differential equation becomes -
i.e.
Step-by-step explanation:
Given - The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.
To find - Write a differential equation that describes the relationship.
Proof -
Rate of change of volume V with respect to time t is represented by 
Now,
Given that,
The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.
⇒
∝ ![\sqrt[3]{V}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7BV%7D)
Now,
We know that, when we have to remove the Proportionality sign , we just put a constant sign.
Let k be any constant.
So,
The differential equation becomes -
i.e.
Answer:
a) 
b) 
c) 
Step-by-step explanation:
If we work with the limits defined from 5 to 10 then part b and c from this question not makes sense. If we work with the limits 1 and 6 all the parts for the question makes sense because if we work with 5 and 10 the only thing that we can find is the expected value 
Assuming the following correct question : "A publication released the results of a study of the evolution of a certain mineral in the Earth's crust. Researchers estimate that the trace amount of this mineral x in reservoirs follows a uniform distribution ranging between 1 and 6 parts per million"
Solution to the problem
Let A the random variable that represent " amount of the mineral x ". And we know that the distribution of A is given by:

Part a
For this uniform distribution the expected value is given by
where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:

Part b
For this case we can use the cumulative distribution function for the uniform distribution given by:

And we want this probability:
Part c
For this case we want this probability:

Step-by-step explanation:
Therefore,
(x+20) + (x-10) + (2x-30) = 180° (Sum of interior angles of a triangle)
Or, x+x+2x+20-10-30 = 180°
Or, 4x-20 = 180°
Or, 4x= 180+20
Or, 4x= 200°
Or, x= 200°/4
Therefore, x= 50°
So,
(x+20)
= 50+20
=70°
(x-10)
= 50-10
40°
(2x-30)
= 2×50-30
=100-30
=70°
Hope it helped, If it did, please mark it as the brainliest answer :)
The answer is -x/2-8x^2-16/x^2-9.
Hope this helped.