85694 If the maximum value of a, for which the function \(f_{\mathrm{a}}(\mathrm{x})=\tan ^{-1} 2 \mathrm{x}-3 \mathbf{a x}+7\) is nondecreasing in \(\left(-\frac{\pi}{6}, \frac{\pi}{6}\right)\), is \(\overline{\mathrm{a}}\), then \(f_{\overline{\mathrm{a}}}\left(\frac{\pi}{8}\right)\) is equal to

85695 The sum of the absolute maximum and minimum values of the function \(f(x)=\mid x^{2}-5 x\) \(+6 \mid-3 x+2\) in the interval \([-1,3]\) is equal to

85696 The maximum value of \(3 \cos x+4 \sin x+5\) is

85697 If the maximum value of \(y=a \cos x-\)
\(\frac{1}{3} \cos 3 x\) occurs when \(x=\frac{\pi}{6}\), then the value of a
is

85694 If the maximum value of a, for which the function \(f_{\mathrm{a}}(\mathrm{x})=\tan ^{-1} 2 \mathrm{x}-3 \mathbf{a x}+7\) is nondecreasing in \(\left(-\frac{\pi}{6}, \frac{\pi}{6}\right)\), is \(\overline{\mathrm{a}}\), then \(f_{\overline{\mathrm{a}}}\left(\frac{\pi}{8}\right)\) is equal to

85695 The sum of the absolute maximum and minimum values of the function \(f(x)=\mid x^{2}-5 x\) \(+6 \mid-3 x+2\) in the interval \([-1,3]\) is equal to

85696 The maximum value of \(3 \cos x+4 \sin x+5\) is

85697 If the maximum value of \(y=a \cos x-\)
\(\frac{1}{3} \cos 3 x\) occurs when \(x=\frac{\pi}{6}\), then the value of a
is

85694 If the maximum value of a, for which the function \(f_{\mathrm{a}}(\mathrm{x})=\tan ^{-1} 2 \mathrm{x}-3 \mathbf{a x}+7\) is nondecreasing in \(\left(-\frac{\pi}{6}, \frac{\pi}{6}\right)\), is \(\overline{\mathrm{a}}\), then \(f_{\overline{\mathrm{a}}}\left(\frac{\pi}{8}\right)\) is equal to

85695 The sum of the absolute maximum and minimum values of the function \(f(x)=\mid x^{2}-5 x\) \(+6 \mid-3 x+2\) in the interval \([-1,3]\) is equal to

85696 The maximum value of \(3 \cos x+4 \sin x+5\) is

85697 If the maximum value of \(y=a \cos x-\)
\(\frac{1}{3} \cos 3 x\) occurs when \(x=\frac{\pi}{6}\), then the value of a
is

85694 If the maximum value of a, for which the function \(f_{\mathrm{a}}(\mathrm{x})=\tan ^{-1} 2 \mathrm{x}-3 \mathbf{a x}+7\) is nondecreasing in \(\left(-\frac{\pi}{6}, \frac{\pi}{6}\right)\), is \(\overline{\mathrm{a}}\), then \(f_{\overline{\mathrm{a}}}\left(\frac{\pi}{8}\right)\) is equal to

85695 The sum of the absolute maximum and minimum values of the function \(f(x)=\mid x^{2}-5 x\) \(+6 \mid-3 x+2\) in the interval \([-1,3]\) is equal to

85696 The maximum value of \(3 \cos x+4 \sin x+5\) is

85697 If the maximum value of \(y=a \cos x-\)
\(\frac{1}{3} \cos 3 x\) occurs when \(x=\frac{\pi}{6}\), then the value of a
is