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answer
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watching
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12 Jan 2021
Let,
be the 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, be the graph shown in the figure. Find the value of
that satisfies the Mean Value Theorem for
on the interval
.
Cidne CarlesLv10
12 Jan 2021