Questions by piyag476

Find the sum to $n$ terms of the series $10+84+ 734 +\dots $$\dfrac{9(9^n+1)}{10}+1 \\$$\dfrac{9(9^n-1)}{8}+1 \\$$\dfrac{9(9^n-1)}{8}+n \\$$\dfrac{9(9^n-1)}{8}+n^2$

A car travels $8$ km in the first quarter of an hour, $6$ km in the second quarter and $16$ km in the third quarter. The average speed of the car in km per hour over the...

The set of values of $p$ for which the roots of the equation $3x^2+2x+p(p-1)=0$ are of opposite sign is$(-\infty ,0)$$(0,1)$$(1,\infty )$$(0,\infty )$

What is the chance that a leap year, selected at random, will contain $53$ Saturdays?$2/7$$3/7$$1/7$$5/7$

They were requested not to $\textbf{quarrel}$ with others.Which one of the following options is the closest in meaning to the word $\textbf{quarrel}$?make outcall outdig ...

The Voltage Source Inverter $(VSI)$ shown in the figure below is switched to provide a $50 Hz$, square-wave ac output voltage $(vo)$ cross an $R-L$ load. Reference polari...

The Voltage Source Inverter $(VSI)$ shown in the figure below is switched to provide a $50 Hz$, square-wave ac output voltage $(vo)$ across an $R-L$ load. Reference polar...

In the following network, the voltage magnitudes at all buses are equal to $1 p.u.$, the voltage phase angles are very small, and the line resistances are negligible. All...

In the following network, the voltage magnitudes at all buses are equal to $1 p.u.$, the voltage phase angles are very small, and the line resistances are negligible. All...

The state variable formulation of a system is given as$\begin{bmatrix} x^\cdot_1 \\ x^\cdot_2 \end{bmatrix}=\begin{bmatrix} -2 & 0\\ 0 & -1 \end{bmatrix}\begin{bmatrix} x...

The state variable formulation of a system is given as$\begin{bmatrix} x^\cdot_1 \\ x^\cdot_2 \end{bmatrix}=\begin{bmatrix} -2 & 0\\ 0 & -1 \end{bmatrix}\begin{bmatrix} x...

In the figure shown below, the chopper feeds a resistive load from a battery source. $MOSFET\: Q$ is switched at $250 kHz$ with a $\text{duty ratio}$ of $0.4$. All elemen...

In the figure shown below, the chopper feeds a resistive load from a battery source. $MOSFET\: Q $ is switched at $250 kHz$ with a $\text{duty ratio}$ of $0.4$. All eleme...

When the $\text{Newton-Raphson}$ method is applied to solve the equation $f(x)=x^3+2x-1=0$ ,the solution at the end of the first iteration with the initial guess value a...

A function $y=5x^2+10x$ is defined over an open interval $x$ = $(1, 2)$ . At least at one point in this interval, $\dfrac{\mathrm{dy} }{\mathrm{d} x}$ is exactly$20$$25$$...