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Recent questions tagged isi2016
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ISI 2016 MMA 24
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 $f$ ... $x$ There cannot not be a real number $L$ such that $f(x) > L$ for all real $x$
asked
Apr 30, 2018
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Calculus
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Tesla!
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isi2016
functions
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1
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2
ISI201605
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
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Mar 31, 2018
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Calculus
by
jjayantamahata
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isi2016
engineeringmathematics
limits
+3
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4
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3
ISI201604
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 $4$ $0$ $16$ $16$
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Mar 31, 2018
in
Linear Algebra
by
jjayantamahata
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1.5k
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429
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isi2016
engineeringmathematics
systemofequations
+14
votes
3
answers
4
ISI Entrance Exam MTech (CS)
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 $k$?
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Apr 6, 2017
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Graph Theory
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Shreya Roy
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isi2016
graphtheory
trees
descriptive
+8
votes
3
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5
ISI2016
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
by
abhi18459
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267
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640
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isi2016
matrices
+6
votes
3
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6
ISI2016
Find the number of positive integers n for which $n^{2}+96$ is a perfect square.
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May 9, 2016
in
Set Theory & Algebra
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abhi18459
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267
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501
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isi2016
settheory&algebra
numbertheory
numericalanswers
+17
votes
4
answers
7
ISI2016
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
by
abhi18459
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267
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792
views
isi2016
permutationandcombination
discretemathematics
normal
descriptive
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