Find \( a \) and \( b \) such that the function defined by \( \math...

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Find \( a \) and \( b \) such that the function defined by
\( \mathrm{P} \)
\[
f(x)=\left\{\begin{array}{cl}
7, & x \leq 3 \\
a x+b, & 3x10 \\
30, & x \geq 10
\end{array}\right.
\]
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