Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle -8 x ^2+10 x +7 &\text{if }\displaystyle x\le2\\ \\ \displaystyle 5 x -9 &\text{if }\displaystyle 2\lt x\lt9\\\\\displaystyle \sqrt{5 x -10} &\text{if } \displaystyle x\ge9 \end{cases} \]
Evaluate \(f(1)\).
Evaluate \(f(1)\).
| \(f(1)=\) |
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