Answer:
9 • sqrt(15)
Step-by-step explanation:
Answer:
The average value of the function on the given interval 6.5.
Step-by-step explanation:
Consider the given function is
We need to find the average value of the function on the given interval [1,13].
The average value of the function f(x) on [a,b] is
Average value of the function on the given interval [1,13] is
![Average=\dfrac{1}{12}[\dfrac{x^2}{2}-0.5x]^{13}_{1}](https://tex.z-dn.net/?f=Average%3D%5Cdfrac%7B1%7D%7B12%7D%5B%5Cdfrac%7Bx%5E2%7D%7B2%7D-0.5x%5D%5E%7B13%7D_%7B1%7D)
![Average=\dfrac{1}{12}[\dfrac{(13)^2}{2}-0.5(13)-(\dfrac{(1)^2}{2}-0.5(1))]](https://tex.z-dn.net/?f=Average%3D%5Cdfrac%7B1%7D%7B12%7D%5B%5Cdfrac%7B%2813%29%5E2%7D%7B2%7D-0.5%2813%29-%28%5Cdfrac%7B%281%29%5E2%7D%7B2%7D-0.5%281%29%29%5D)
![Average=\dfrac{1}{12}[78-0]](https://tex.z-dn.net/?f=Average%3D%5Cdfrac%7B1%7D%7B12%7D%5B78-0%5D)
Therefore, the average value of the function on the given interval 6.5.
Option 2: Altitude
I included a picture of what an altitude looks like.
I think it would be 26. I hope that helped.
If the population decreases by 2% each year, that can be represented by multiplying the population by 0.98 mathematically. So if it decreases by 2% each year, an equation we can use is:
P*(0.98)^t,
where P is the current population and t is the number of years.
So in 2020, that would be 10 years from now, so the population would be:
1759*(0.98)^10 = 1437.23
Or about 1437 people.
How long till it is less than 1000? We can set up an inequality and solve:
1759*(0.98)^t < 1000
(0.98)^t < 1000/1759
t*ln(0.98) < ln(1000/1759)
t > ln(1000/1759)/(ln(0.98)) (swap the sign because ln(0.98) is a negative #)
t > 27.95
So the population would be below 1000 in about 28 years, or 2038.
