Question

Mean Value Theorem
http://puu.sh/df03Q/9880984a6b.png

Answer 1

first if the criteria is met for M.V.T on the interval [a,b] then you can find c by doing:
\[f'(c)=\frac{f(b)-f(a)}{b-a}\]

Answer 2

so i take the derivative and set = to 50

Answer 3

24^2 +8 = 50?

Answer 4

just to be sure how did you get 50?

Answer 5

also where does that derivative come from?

Answer 6

24^2+8?

Answer 7

oh 24x^2+8 is what you meant

Answer 8

oh typo 24x^2 + 8

Answer 9

but I'm not sure that 50 is the slope of the secant line

Answer 10

\[24c^2+8=\frac{f(2)-f(0)}{2-0}\]

Answer 11

you did that right?

Answer 12

for the right hand side?

Answer 13

oh and the number should be 48 instead of 50, bad math :P

Answer 14

im going to use my calculator
because I can't trust myself with arithmetic sometimes

Answer 15

http://www.wolframalpha.com/input/?i=%28%288%282%29%5E3%2B8%282%29%2B8%29-%288%280%29%5E3%2B8%280%29%2B8%29%29%2F%282-0%29

Answer 16

should be 40

Answer 17

so solve 24c^2+8=40

Answer 18

i got (2sqrt3)/3

Answer 19

sounds good

Answer 20

thank you

Answer 21

np