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answer
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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