GATE EE 2013 Question Paper (10-Feb-2013) (Shift 2)

A function y = 5x² + 10x is defined over an open interval x = (1, 2). At least at one point in this interval, $\frac{dy}{dx}$ is exactly

When the Newton-Raphson method is applied to solve the equation f(x) = x³ + 2x - 1 = 0, the solution at the end of the first iteration with the initial guess value as x₀ = 1.2 is

In the figure shown, the chopper feeds a resistive load from a battery source. MOSFET Q is switched at 250 KHz, with a duty ratio of 0.4. All elements of the circuit are assumed to be ideal.



Average source current in Amps in steady state is

In the figure shown below, the chopper feeds a resistive load from a battery source. MOSFET Q is switched at 250 kHz, with duty ratio of 0.4. All elements of the circuit are assumed to be ideal.

The state variable formulation of a system is given as

$\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]=\left[\begin{array}{ccc}-2& & 0\\ 0& & -1\end{array}\right]\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]+\left[\begin{array}{c}1\\ 1\end{array}\right]u,x_1(0)=0,x_2(0)=0any=\left[\begin{array}{ccc}1& & 0\end{array}\right]\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]$