Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle x^2-2 x -10 &\text{if }\displaystyle x\le4\\ \\ \displaystyle 8 x +2 &\text{if }\displaystyle 4\lt x\le7\\\\\displaystyle \sqrt{{{x}\over{6}}-{{2}\over{3}}} &\text{if } \displaystyle x\gt7 \end{cases} \]
Evaluate \(f(10)\).
Evaluate \(f(10)\).
| \(f(10)=\) |
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