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answer
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watching
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12 Jan 2021
Let
is a graph shown in the figure. Find the value of
that satisfies the Mean Value Theorem for
on the interval
.
![](data:image/png;base64,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)
Let is a graph shown in the figure. Find the value of
that satisfies the Mean Value Theorem for
on the interval
.
Cidne CarlesLv10
12 Jan 2021