search
Log In

Recent questions tagged isi2016

0 votes
1 answer
1
Let $f:\mathbb{R} \rightarrow \mathbb{R}$ be a strictly increasing function. Then which one of the following is always true? The limits $\lim_{x\rightarrow a+} f(X)$ and $\lim_{x\rightarrow a-} f(X)$ exist for all real number a if $f$ is differentiable at a then $f'(a)>0$ There ... such that $f(x) < B$ for all real $x$ There cannot not be a real number $L$ such that $f(x) > L$ for all real $x$
asked Apr 30, 2018 in Calculus Tesla! 298 views
0 votes
1 answer
2
Let $f(x,y) = \begin{cases} \dfrac{x^2y}{x^4+y^2}, & \text{ if } (x,y) \neq (0,0) \\ 0 & \text{ if } (x,y) = (0,0)\end{cases}$ Then $\displaystyle{\lim_{(x,y)\rightarrow(0,0)}}f (x,y)$ equals $0$ equals $1$ equals $2$ does not exist
asked Mar 31, 2018 in Calculus jjayantamahata 215 views
3 votes
4 answers
3
If $a,b,c$ and $d$ satisfy the equations $a+7b+3c+5d =16$ $8a+4b+6c+2d = -16$ $2a+6b+4c+8d = 16$ $5a+3b+7c+d= -16$ Then $(a+d)(b+c)$ equals $-4$ $0$ $16$ $-16$
asked Mar 31, 2018 in Linear Algebra jjayantamahata 693 views
14 votes
3 answers
4
Consider all possible trees with $n$ nodes. Let $k$ be the number of nodes with degree greater than $1$ in a given tree. What is the maximum possible value of $k$?
asked Apr 6, 2017 in Graph Theory Shreya Roy 1.2k views
10 votes
3 answers
5
Let $A$ be a matrix such that: $A=\begin{pmatrix} -1 & 2\\ 0 & -1 \end{pmatrix}$ and $B=A+A^2+A^3+\ldots +A^{50}$. Then which of the following is true? $B^{2}=I$ $B^{2}=0$ $B^{2}=B$ None of the above
asked May 9, 2016 in Linear Algebra abhi18459 783 views
6 votes
3 answers
6
Find the number of positive integers n for which $n^{2}+96$ is a perfect square.
asked May 9, 2016 in Set Theory & Algebra abhi18459 593 views
19 votes
4 answers
7
A palindrome is a sequence of digits which reads the same backward or forward. For example, $7447$, $1001$ are palindromes, but $7455$, $1201$ are not palindromes. How many $8$ digit prime palindromes are there?
asked May 8, 2016 in Combinatory abhi18459 991 views
To see more, click for the full list of questions or popular tags.
...