Question

question

Answer 1

http://gyazo.com/2df18f703e49fad852a08aaae54b6df1

Answer 2

how do i start?

Answer 3

concider some extream functions with an absolute minimum and an absolute maximum

Answer 4

its \[f(x)=\begin{cases}M&x\neq1.9\\ m&x=1.9\end{cases}\]

Answer 5

if you integrate this the area under the curve will be the same as f(x)=M

Answer 6

integrate \(f(x)\)?

Answer 7

what do you get if f(x)=M
?

Answer 8

\[∫_0^2f(x)dx=∫_0^2Mdx=M∫_0^2dx\]

Answer 9

do i integrate the third one?

Answer 10

yes

Answer 11

i get 2m

Answer 12

you mean 2M?

Answer 13

yeah

Answer 14

well that is the most extreme function i can think of that integrates to give the biggest possible value.

Can you think of an extreme function with an absolute minimum m and an absolute maximum M, that will give the smallest possible area?

Answer 15

hm..thats the answer?

nope..
i dont even understand the question..

Answer 16

there is propably a better way to solve this question, this was all i could think of

Answer 17

ok, thanks

Answer 18

@thomaster