GATE EC 2014 Question Paper (16-Feb-2014) (Shift 1)

The maximum value of f(x) = 2x³ – 9x² + 12x – 3 in the interval 0 ≤ x ≤ 3 is _______

Which one of the following statements is NOT true for a square matrix 𝐴?

A fair coin is tossed repeatedly till both head and tail appear at least once. The average number of tosses required is ______.

Let X₁, X₂ and X₃ be independent and identically distributed random variables with the uniform distribution on [0, 1]. The probability P {X₁ + X₂ ≤ X₃} is _______.

Consider the building block called ‘Network N’ shown in the figure. Let C = 100 μF and R = 10 kΩ.



Two such blocks are connected in cascade, as shown in the figure:



The transfer function $\frac{{\mathrm{V}}_3\left(\mathrm{s}\right)}{{\mathrm{V}}_1\left(\mathrm{s}\right)}$ of the cascaded network is