anonymous
  • anonymous
question
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
http://gyazo.com/2df18f703e49fad852a08aaae54b6df1
anonymous
  • anonymous
how do i start?
UnkleRhaukus
  • UnkleRhaukus
concider some extream functions with an absolute minimum and an absolute maximum

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UnkleRhaukus
  • UnkleRhaukus
|dw:1378649473992:dw|
UnkleRhaukus
  • UnkleRhaukus
|dw:1378649524611:dw|
UnkleRhaukus
  • UnkleRhaukus
its \[f(x)=\begin{cases}M&x\neq1.9\\ m&x=1.9\end{cases}\]
UnkleRhaukus
  • UnkleRhaukus
if you integrate this the area under the curve will be the same as f(x)=M
anonymous
  • anonymous
integrate \(f(x)\)?
UnkleRhaukus
  • UnkleRhaukus
what do you get if f(x)=M ?
UnkleRhaukus
  • UnkleRhaukus
\[∫_0^2f(x)dx=∫_0^2Mdx=M∫_0^2dx\]
anonymous
  • anonymous
do i integrate the third one?
UnkleRhaukus
  • UnkleRhaukus
yes
anonymous
  • anonymous
i get 2m
UnkleRhaukus
  • UnkleRhaukus
you mean 2M?
anonymous
  • anonymous
yeah
UnkleRhaukus
  • UnkleRhaukus
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?
anonymous
  • anonymous
hm..thats the answer? nope.. i dont even understand the question..
UnkleRhaukus
  • UnkleRhaukus
there is propably a better way to solve this question, this was all i could think of
anonymous
  • anonymous
ok, thanks
UnkleRhaukus
  • UnkleRhaukus
@thomaster

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