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Let f be a function defined by f(x)=tan−1(x2+kx+9−x). If range of f(x) lies in the interval (0,π2) for all values of x ϵ R, then find the maximum integral value of k. ___

Answer» Let f be a function defined by f(x)=tan1(x2+kx+9x). If range of f(x) lies in the interval (0,π2) for all values of x ϵ R, then find the maximum integral value of k. ___


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