Mathematics

Question: Forming a differential equation representing the given family of curves by eliminating arbitrary constants a and b from y

Question: Options: π/6 + log(2√2) π/2 + log(2√2) π/12 + log(2√2) π/3 + log(2√2) π/6 + log(2√2) π/2 + log(2√2)

Question: Options: 5 3 2 -3 5 3 2 -3 Correct Answer: a) Explanation: 5 5

Question: What is the area bounded by the regions y = ex, y = e-x and the straight line x

Question: Options: π/3 π π/4 π/2 π/3 π π/4 π/2 Correct Answer: c) Explanation: π/4 π/4

Question: ∫ ex (cot x – cosec2 x) dx = ? ∫ ex (cot x – cosec2 x) dx =

Question: int ex (f(x) + f'(x)) is equal to int ex (f(x) + f'(x)) is equal to Options: ex +

Question: ∫ [cos 2x / (sin x + cos x)2] dx is equal to ∫ [cos 2x / (sin x

Question: The least and greatest values of f(x) = x3 – 6×2 + 9x in [0, 6], are The least

Question: f(x) = [x(x – 3)]2 is increasing in f(x) = [x(x – 3)]2 is increasing in Options: (1, 3)