Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle -5 x ^2+8 x +5 &\text{if }\displaystyle x\le5\\ \\ \displaystyle \sqrt{{{9 x }\over{2}}-{{45}\over{2}}} &\text{if }\displaystyle 5\lt x\le10\\\\\displaystyle 3 x -1 &\text{if } \displaystyle x\gt10 \end{cases} \]
Evaluate \(f(7)\).
Evaluate \(f(7)\).
| \(f(7)=\) |
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