9 answers
8
How many $4$-digit even numbers have all $4$ digits distinct?$2240$$2296$$2620$$4536$
3 answers
9
A simple graph ( a graph without parallel edge or loops) with $n$ vertices and $k$ components can have at most$n$ edges$n-k$ edges$(n-k) (n-k+1)$ edges$(n-k) (n-k+1)/2$ e...
2 answers
10
2 answers
14
5 answers
20
A finite state machine with the following state table has a single input $x$ and a single out $z$.$$\begin{array}{|c|ll|}\hline\textbf{present state} & \qquad \textbf{nex...
5 answers
22
3 answers
24
The minimum number of equal length subintervals needed to approximate $\int_1^2 xe^x\,dx$ to an accuracy of at least $\frac{1}{3}\times10^{-6}$ using the trapezoidal rule...
1 answer
25
Loosely speaking, we can say that a numerical method is unstable if errors introduced into the computation grow at _________ rate as the computation proceeds.
7 answers
26
Given $i = \sqrt{-1}$, what will be the evaluation of the definite integral $\int \limits_0^{\pi/2} \dfrac{\cos x +i \sin x} {\cos x - i \sin x} dx$ ?$0$$2$$-i$$i$
9 answers
30
$\displaystyle \lim_{x \to \infty}\frac{x-\sin x}{x+\cos x}$ equals$1$$-1$$\infty$$-\infty$