Answer:
V = kr²h
Step-by-step explanation:
Given that V varies jointly with r² and h, then the equation relating them is
V = kr²h ← k is the constant of variation
Note that joint variation involves the product of the joint quantities
The first term is 7, and the common difference is 4. We know this because 11-7=15-11=4. So the nth term is going to be 7+4(n-1). The 26th term will be 7+4(26-1)=7+100=107. The sum of the series is going to be (107+7)*13=1482.
Answer:
You are correct :)
Step-by-step explanation:
Area of a circle = π * r2
R = 39
So 39 squared is 1521.
1521 times pi is 4775.94
Answer:
The answer is 
of the population.
Step-by-step explanation:
The question is wrong. The joint density function is 
in R
and 
outside R.
R is defined as the rectangle 
, 
In order to find the fraction of the population satisfying the constraint 
, we will need to integrate the joint density function 
over the region defined by the constraint. It is very convenient to draw the region ''R'' and the new region define by the constraint
I will attach a drawing with the region ''R'' and the new region where we need to apply the integral.
If we integrate outside ''R'', given that outside ''R'', the integral will be equal to 0 (because of the joint density function).
Inside the rectangle ''R'' and given the constraint , we define two new regions : the green region (I) and the blue region (II).
The final step is to integrate in (I) and in (II) and sum ⇒
⇒
, where ''1'' is the green region and ''2'' is the blue region.
⇒ 
+ 
= 
We find that of the population satisfy the constraint .
