Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle {{8}\over{7 x +13}}+2 &\text{if }\displaystyle x\lt-2\\ \\ \displaystyle \sqrt{{{49 x }\over{8}}+{{49}\over{4}}} &\text{if }\displaystyle -2\le x\lt8\\\\\displaystyle -x^2-3 &\text{if } \displaystyle x\ge8 \end{cases} \]
Evaluate \(f(6)\).
Evaluate \(f(6)\).
| \(f(6)=\) |
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