Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle -10 x ^2+8 x -2 &\text{if }\displaystyle x\le2\\ \\ \displaystyle 3-4 x &\text{if }\displaystyle 2\lt x\lt8\\\\\displaystyle \sqrt{3 x -6} &\text{if } \displaystyle x\ge8 \end{cases} \]
Evaluate \(f(2)\).
Evaluate \(f(2)\).
| \(f(2)=\) |
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