Question

Average value of functions

Answer 1

Number 22

Answer 2

\[\frac{ 1 }{ 3 }\int\limits_{1}^{4}f(x)=5\]

Answer 3

Multiply both sides by 3

Answer 4

so 15

Answer 5

Should be easy now...

Answer 6

Fundamental Theorum of Calculus?

Answer 7

im not sure what to do with the bounds.

Answer 8

Much easier than that.

Answer 9

divide by 6?

Answer 10

Pull the 6 out the front of the integral.

Answer 11

no that wouldnt make any sense

Answer 12

oh 30

Answer 13

I mean 5/6 lol

Answer 14

No...

Answer 15

5/6 isnt correct?

Answer 16

You know the value of the integral from 1 to 4.

You need 6 times the value of the integral from 1 to 4.

Answer 17

How do you know that if you dont have a function for f(x) though?

Answer 18

You don't need it. See my last post.

You already worked out the value of the integral from 1 to 4.

Answer 19

It just clicked. 90 right?