If \(f(x) = R \: \sin ( \frac{\pi x}{2}) + S, f’\left(\frac{1}{2}\right) =…
2017
If \(f(x) = R \: \sin ( \frac{\pi x}{2}) + S, f’\left(\frac{1}{2}\right) = \sqrt{2}\) and \(\int_0^1 f(x) dx = \frac{2R}{\pi}\), then the constants \(R\) and \(S\) are
- A.
\(\frac {2} {\pi}\)and\(\frac {16} {\pi}\) - B.
\(\frac {2} {\pi}\)and\(0\) - C.
\(\frac {4} {\pi}\)and\(0\) - D.
\(\frac {4} {\pi}\)and\(\frac {16} {\pi}\)
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Correct answer: C
