Finding the mean value? (I have a picture with exact problem)

Question

anonymous · Answer

attachment

lieutenantgeneral · Answer

http://www.mathsisfun.com/median.html To find the Median, place the numbers in value order and find the middle number.

anonymous · Answer

My exact problem is the picture

mathmale · Answer

This is an application of the Mean Value Theorem.  Are you familiar with that?  Stronglly suggest looking it up in your textbook, class notes or online.

mathmale · Answer

For the given function, the mean value on the interval [0,12] is 

$$\frac{ S(12)-S(0) }{ 12-0}$$

mathmale · Answer

Would you please calculate that?

Next, find the derivative of S(t).  

Once you have S '(t), replace that t by the constant c.

Equate the Average Value of S(x) on [0,12] to S '(c); now find c.  That will give you the answer to Part b.

Please ask for clarification if you need to.