Question

Suppose that 3<=f'(x)<=5 for all values of x. Show that 18<=f(8)-f(2)<=30

Answer 1

\[3\le f'(x)\le5\]

Answer 2

\[18\le f(8)-f(2)\le30\]

Answer 3

mean value theorem

Answer 4

which is

Answer 5

look it up...you need it to do this problem

Answer 6

i have the theorem bu ti don't get how it applies

Answer 7

look at \[\frac{f(8)-f(2)}{8-2}=f'(c)\]

\[2<c<8\]

Answer 8

i still don't get how that helps me find 18≤f(8)−f(2)≤30

Answer 9

think about it for a little bit...if I do any more I will be doing the entire problem

Answer 10

i am not good at math. i never understand it