Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle 7-7 x &\text{if }\displaystyle x\lt-5\\ \\ \displaystyle -2 x ^2+5 x +4 &\text{if }\displaystyle -5\le x\le3\\\\\displaystyle \sqrt{{{x}\over{11}}+{{5}\over{11}}} &\text{if } \displaystyle x\gt3 \end{cases} \]
Evaluate \(f(6)\).
Evaluate \(f(6)\).
| \(f(6)=\) |
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