Search results for engineering-mathematics

32 votes
14 answers
1
Let $G$ be an undirected complete graph on $n$ vertices, where $n 2$. Then, the number of different Hamiltonian cycles in $G$ is equal to$n!$$(n-1)!$$1$$\frac{(n-1)!}{2}...
33 votes
4 answers
2
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal...
26 votes
4 answers
8
14 votes
7 answers
9
Compute $\displaystyle \lim_{x \rightarrow 3} \frac{x^4-81}{2x^2-5x-3}$$1$$53/12$$108/7$Limit does not exist
1 votes
1 answer
10
Evaluate the following limit:\[\lim _{x \rightarrow 0} \frac{\ln \left(\left(x^{2}+1\right) \cos x\right)}{x^{2}}= \]
2 votes
1 answer
11
0 votes
4 answers
14
0 votes
1 answer
18
I found this statement in math blog.....can anyone please help on this…For a upper triangular Matrix I tried to derive with Eigen values as 1,2,0,0,0 for 5*5 but I am n...
0 votes
1 answer
20
How many skew symmetric matrices are possible with a number set = [-2,-1,1,2,3,4,0] 0 can be used at most 3 times other numbers are allowed for repetition.