bobobob111
New member
- Joined
- Jun 23, 2020
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- 4
We are given a function, g(x), with the following properties
- the function, g(x), is continuous
- the average value of f over the interval [0, 1] = 1
- the average value of f over the interval [1, 3] = 2
- the average value of f over the interval [3, 6] = 3
By using the definition of average value, find the average value of f over [0, 6].
I've tried just adding all 3 average values of the subinterval values and I got 6 (1+2+3). Then I tried multiplying that by 1/b-a of the entire interval (1/6=0=1/6) and got 1 for my final answer. Can you not just add the average value of the intervals like that to find the average value of the whole interval? I'm very confused.
- the function, g(x), is continuous
- the average value of f over the interval [0, 1] = 1
- the average value of f over the interval [1, 3] = 2
- the average value of f over the interval [3, 6] = 3
By using the definition of average value, find the average value of f over [0, 6].
I've tried just adding all 3 average values of the subinterval values and I got 6 (1+2+3). Then I tried multiplying that by 1/b-a of the entire interval (1/6=0=1/6) and got 1 for my final answer. Can you not just add the average value of the intervals like that to find the average value of the whole interval? I'm very confused.