Math Chapter Wise question with answer

Q01 If the function f(x) = a sinx + 1 3 sin3x has maximum value at x = π 3, the value of a is English · UP PGT 2011 UPPSC Ashram Paddhati 2021 Q02 If the function ((()) 1 f x asinx sin3x 3 = + = + has maximum value at x 3 π = then the value of a is: English · PGT 2011 Q03 The function sinp θ cosq θ attains its maximum value, when- English · UP PGT 2009 UPPSC GIC 2021 Q04 The maximum value of the function y = sin x (1 + cos x), 0 2π x ≤ is: English · UKPSC Lecturer (Mains) 2020 Q05 If the function f given by f(x)= x3 –3 (a– 2)x2 +3ax + 7, for some a∈R is increasing in (0, 1] and decreasing in [1... English · EMRS PGT-2023 Q06 The function -1 (x) = cot x + x f increases in the interval: English · EMRS PGT-2023