Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle 6-10 x &\text{if }\displaystyle x\le5\\ \\ \displaystyle \sqrt{2 x -10} &\text{if }\displaystyle 5\lt x\lt7\\\\\displaystyle {{2}\over{10 x -49}}-5 &\text{if } \displaystyle x\ge7 \end{cases} \]
Evaluate \(f(5)\).
Evaluate \(f(5)\).
| \(f(5)=\) |
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