Answer:
The average value of 
over the interval ![[-2,5]](https://tex.z-dn.net/?f=%5B-2%2C5%5D)
is 
.
Step-by-step explanation:
Let suppose that function is continuous and integrable in the given intervals, by integral definition of average we have that:
(1)
(2)
By Fundamental Theorems of Calculus we expand both expressions:
(1b)
(2b)
We obtain the average value of over the interval ![[-2, 5]](https://tex.z-dn.net/?f=%5B-2%2C%205%5D)
by algebraic handling:
![F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)](https://tex.z-dn.net/?f=F%285%29%20-%20F%283%29%20%2B%5BF%283%29-F%28-2%29%5D%20%3D%2040%20%2B%20%28-30%29)
The average value of over the interval is .
Answer:
1. .900+.020+.008, 2. .700+.030+.001, 3. 4.5, 4.56, 4.565656, 4.6
Step-by-step explanation:
The geometric means between -5 and -125 is; 25
<h3>How to find the geometric mean?</h3>
To find the geometric mean between two numbers, we simply find the square root of the product of the two numbers.
For example, geometric mean between A and B is;
G.M = √(A * B)
Thus, geometric mean between -5 and -125 is;
G.M = √(-5 * -125)
G.M = √625
G.M = 25
There could be other geometric means between this like;
G.M = √(-5 * -45) = 15
Or GM = √(-10 * -40) = 20
Read more about geometric mean at; brainly.com/question/17266157
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