The formula for the average value of a function is
where b is the upper bound and a is the lower. For us, this formula will be filled in accordingly.
. We will integrate that now:
![\frac{1}{2}[ \frac{2x^3}{3}+3x]](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%5B%20%5Cfrac%7B2x%5E3%7D%7B3%7D%2B3x%5D%20%20)
from 0 to 2. Filling in our upper and lower bounds we have
![\frac{1}{2}[( \frac{2(2^3)}{3}+3(2))-0]](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%5B%28%20%5Cfrac%7B2%282%5E3%29%7D%7B3%7D%2B3%282%29%29-0%5D%20%20)
which simplifies to
and
which is 17/3 or 5.667
Answer:
Please check the attachment.
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THANK YOU.
Answer:
Step-by-step explanation:
Figure 1
- 3 = 4 - 1 = 2² - 1 = (1 + 1)² - 1
Figure 2
- 8 = 9 - 1 = 3² - 1 = (2 + 1)² - 1
Figure 3
- 15 = 16 - 1 = 4² - 1 = (3 + 1)² - 1
<u>The function is:</u>
Answer:
Her pin must be 1147
Step-by-step explanation:
A little trick I have up my sleeve when I have these kind of questions is that I find the square root of each number, then find what is prime.
Since the only prime numbers in the range of 31 and 38 is 31 and 37.
We can then multiply 31 by 37 to get 1147.
