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Recent questions and answers in Engineering Mathematics
38
votes
6
answers
1
GATE CSE 2017 Set 2 | Question: 31
For any discrete random variable $X$, with probability mass function $P(X=j)=p_j, p_j \geq 0, j \in \{0, \dots , N \}$, and $\Sigma_{j=0}^N \: p_j =1$, define the polynomial function $g_x(z) = \Sigma_{j=0}^N \: p_j \: z^j$. For a certain ... . The expectation of $Y$ is $N \beta(1-\beta)$ $N \beta$ $N (1-\beta)$ Not expressible in terms of $N$ and $\beta$ alone
Shakir Ahmad
answered
in
Probability
15 hours
ago
by
Shakir Ahmad
12.0k
views
gatecse-2017-set2
probability
random-variable
difficult
1
vote
2
answers
2
KENNITH ROSEN LATTICE
Find a compatible total order for the divisibility relation on the set {1, 2, 3, 6, 8, 12, 24, 36}.
Vishal_kumar98
answered
in
Set Theory & Algebra
3 days
ago
by
Vishal_kumar98
64
views
discrete-mathematics
kenneth-rosen
lattice
0
votes
0
answers
3
Topic: Combining relations (Composition of relations)
Let R be a relation. Why $R^2 oR^2 !=R^4$ while $R^3 oR =R^4$? Please explain.
Yamini_learner
asked
in
Set Theory & Algebra
4 days
ago
by
Yamini_learner
51
views
relations
0
votes
1
answer
4
Ace Book for Discreet Mathematics , Combinatorics.
Number of ways to assign 5 different people in 3 different rooms, so that each room contains at least one person?
Pranavpurkar
answered
in
Mathematical Logic
Sep 23
by
Pranavpurkar
84
views
combinatory
ace-booklet
1
vote
2
answers
5
[email protected]
Test Series 2023
Ans: 43333
Pranavpurkar
answered
in
Combinatory
Sep 22
by
Pranavpurkar
95
views
combinatory
0
votes
0
answers
6
Internet
For f(x)=√x x€[0,b] the number c satisfying mean value therom is c=1
Katyayani0306
asked
in
Calculus
Sep 21
by
Katyayani0306
24
views
continuity
calculus
35
votes
5
answers
7
GATE CSE 2014 Set 1 | Question: 48
Four fair six-sided dice are rolled. The probability that the sum of the results being $22$ is $\dfrac{X}{1296}$. The value of $X$ is _______
Argharupa Adhikary
answered
in
Probability
Sep 21
by
Argharupa Adhikary
6.2k
views
gatecse-2014-set1
probability
numerical-answers
normal
0
votes
1
answer
8
Engineering mathematics
If A is a non-zero column matrix of order n×1 and B is a non-zero row matrix of order 1×n then rank of AB equals ? Rank(ab) can be zero???
afroze
answered
in
Linear Algebra
Sep 21
by
afroze
65
views
engineering-mathematics
linear-algebra
matrix
self-doubt
0
votes
3
answers
9
ISRO2006-ECE calculus
shuham kumar
answered
in
Calculus
Sep 20
by
shuham kumar
368
views
isro-ece
engineering-mathematics
calculus
0
votes
2
answers
10
ISRO 2009-ECE Engineering Mathematics
There is a function f(x), such that f(0) = 1 and f ' (0)= -1 and f(x) is positive for all values of x. Then, a) f"(x) < 0 for all x b) -1 < f'' (x) < 0 for all x c) -2 < f '' (x) < -1 for all x d) None of the above
shuham kumar
answered
in
Calculus
Sep 20
by
shuham kumar
235
views
isro-ece
engineering-mathematics
calculus
3
votes
1
answer
11
Calculus
It should be 1 and 3 ?? please correct me if I'm wrong.
shuham kumar
answered
in
Calculus
Sep 20
by
shuham kumar
592
views
engineering-mathematics
calculus
2
votes
1
answer
12
Continuity and Differentiability of root mod function
1) Consider f(x) = $|x|^{3/2}$ Check for Differentiability and Continuity. I am getting Cont and Differentiable both. 2) Consider f(x) = $|x-1|^{3/2}$ Check for Differentiability and Continuity. I am getting Cont and Differentiable both. 3) Find the value of $f(x) = \int_{-2}^{2}|1-x^4|dx$. I am getting 8/5, but answer is 12.
shuham kumar
answered
in
Calculus
Sep 20
by
shuham kumar
655
views
limits
continuity
function
calculus
2
votes
2
answers
13
Made Easy: Linear Algebra (MSQ)
Let $A$ be a $3$ x $3$ matrix with rank $2$. Then, $AX=0$ has The trivial solution $X=0$. One independent solution. Two independent solution. Three independent solution.
samarpita
answered
in
Linear Algebra
Sep 19
by
samarpita
114
views
linear-algebra
engineering-mathematics
rank-of-matrix
matrix
system-of-equations
0
votes
1
answer
14
[email protected]
Test Series 2023
Ans: 211
afroze
answered
in
Combinatory
Sep 19
by
afroze
89
views
combinatory
1
vote
0
answers
15
Self doubt.
If A, B & C are matrices & AB=AC then B=C? as we know it is not always true because when A is singular matrix then B=C not possible so what is the right ans to say B=C is (always not equal) or (may or may not be equal) or (simply not equal)?
Nisha Bharti
asked
in
Linear Algebra
Sep 19
by
Nisha Bharti
81
views
matrix
determinant
53
votes
3
answers
16
GATE CSE 2014 Set 1 | Question: 2
Suppose you break a stick of unit length at a point chosen uniformly at random. Then the expected length of the shorter stick is ________ .
Abhrajyoti00
answered
in
Probability
Sep 18
by
Abhrajyoti00
13.5k
views
gatecse-2014-set1
probability
uniform-distribution
expectation
numerical-answers
normal
0
votes
1
answer
17
Gate At Zeal
Question → If (G,*) is a group of order 960 and there exist a in G such that a^m=e for some integer m<=960 where e is identity element of G then total number of possible value of m is___________ Answer==28
afroze
answered
in
Set Theory & Algebra
Sep 17
by
afroze
90
views
group-theory
discrete-mathematics
test-series
zeal
1
vote
2
answers
18
NIELIT 2016 MAR Scientist B - Section B: 5
The greatest and the least value of $f(x)=x^4-8x^3+22x^2-24x+1$ in $[0,2]$ are $0,8$ $0,-8$ $1,8$ $1,-8$
neel19
answered
in
Calculus
Sep 16
by
neel19
372
views
nielit2016mar-scientistb
engineering-mathematics
calculus
maxima-minima
2
votes
3
answers
19
GATE Overflow | Mock GATE | Test 1 | Question: 53
A class of first year B.tech students is composed of four batches A, B, C and D, each consisting of $30$ students. It is found that the sessional marks of students in Engineering Drawing in batch C have a mean of $6.6$ and standard deviation of $2.3$. ... this, the marks of a student in batch C are changed from $8.5$ to $8.75$ $7.45$ $9.27$ $8.97$
MANSI_SOMANI
answered
in
Probability
Sep 13
by
MANSI_SOMANI
650
views
go-mockgate-1
engineering-mathematics
probability
statistics
3
votes
2
answers
20
GATE Overflow | Mock GATE | Test 1 | Question: 33
If $x=cy+bz, \: y=az+cx, \: z=bx+ay,$ where $x,y,z$ are not all zero, then $a^2+b^2+c^2=$ $1+2abc$ $1-2abc$ $1+abc$ $abc-1$
MANSI_SOMANI
answered
in
Set Theory & Algebra
Sep 13
by
MANSI_SOMANI
556
views
go-mockgate-1
set-theory&algebra
algebra
quantitative-aptitude
2
votes
3
answers
21
GATE Overflow | Mock GATE | Test 1 | Question: 34
Let $G$ be a graph of order $n$ in which every vertex has degree equal to $d$. How large must $d$ be in order to guarantee that $G$ is connected? $\frac{n}{2}$ $\lceil (n-1)/2 \rceil$ $\lfloor (n+1)/2 \rfloor$ $(n-1)/2$
MANSI_SOMANI
answered
in
Graph Theory
Sep 13
by
MANSI_SOMANI
1.2k
views
go-mockgate-1
discrete-mathematics
graph-theory
graph-connectivity
2
votes
2
answers
22
GATE Overflow | Mock GATE | Test 1 | Question: 19
Evaluate the limit: $ \lim_{x \to -3} \frac{\sqrt{2x+22}-4}{x+3}$ $\frac{1}{2}$ $\frac{1}{4}$ $\frac{1}{8}$ $\frac{1}{16}$
MANSI_SOMANI
answered
in
Calculus
Sep 13
by
MANSI_SOMANI
604
views
go-mockgate-1
limits
calculus
1
vote
2
answers
23
PhD Admissions Written Test (Basic)
Let x1, x2, ...x8 be 8 propositional variables. Let · represent AND connective ⊕ represent the Exclusive-or connective. The number of satisfying assignments of the formula x1 ⊕ x2 ⊕ ...x8 is _________________ The number of satisfying assignments of the formula (x1·x2) ⊕ (x3·x4)... ⊕ (x7·x8) is __________________
maverick
answered
in
Mathematical Logic
Sep 12
by
maverick
107
views
written-test
iit
discrete-mathematics
0
votes
1
answer
24
A First Course In Probability, 9th Edition, Indian Version, Sheldon Ross, Chapter 3, Problems, 33.
The meteorology department predicts the rain correctly with a probability of 4/5. When rain is predicted Amit travels by his car. When rain is not forecasted, he travels with his car with a probability of ... a probability of 1/2. Find the probability that Amit does not travel by car given it rains.
shishir__roy
answered
in
Probability
Sep 10
by
shishir__roy
82
views
probability
sheldon-ross
conditional-probability
1
vote
1
answer
25
igate test series
Selection of how many integers from the first ten positive integers (1, 2, ...) guarantees that there must be a pair of these integers with a sum equal to 11 ?
maverick
answered
in
Combinatory
Sep 10
by
maverick
102
views
discrete-mathematics
counting
test-series
35
votes
4
answers
26
GATE CSE 1994 | Question: 2.2
On the set $N$ of non-negative integers, the binary operation ______ is associative and non-commutative.
GateOverflow04
answered
in
Set Theory & Algebra
Sep 10
by
GateOverflow04
3.5k
views
gate1994
set-theory&algebra
normal
group-theory
binary-operation
fill-in-the-blanks
0
votes
2
answers
27
Predicate Translation
S(x): x is a Student P(x): x is a Professor A(x, y): x has asked a question to y Domain not given, so we have to think about default domain Q1) Translate There is a student who has asked every professor a question Q2) Translate ... a professor who has been asked a question by every student Q4) Translate There is a student who has been asked a question by every professor
shishir__roy
answered
in
Mathematical Logic
Sep 6
by
shishir__roy
87
views
propositional-logic
mathematical-logic
discrete-mathematics
29
votes
5
answers
28
GATE CSE 2015 Set 1 | Question: 18
In the LU decomposition of the matrix $\begin{bmatrix}2 & 2 \\ 4 & 9\end{bmatrix}$, if the diagonal elements of $U$ are both $1$, then the lower diagonal entry $l_{22}$ of $L$ is_________________.
shishir__roy
answered
in
Linear Algebra
Sep 5
by
shishir__roy
7.5k
views
gatecse-2015-set1
linear-algebra
matrix
numerical-answers
42
votes
6
answers
29
GATE CSE 2003 | Question: 72
The following resolution rule is used in logic programming. Derive clause $(P \vee Q)$ from clauses $(P\vee R),(Q \vee ¬R)$ Which of the following statements related to this rule is FALSE? $((P ∨ R)∧(Q ∨ ¬R))⇒(P ∨ Q)$ ... if $(P ∨ R)∧(Q ∨ ¬R)$ is satisfiable $(P ∨ Q)⇒ \text{FALSE}$ if and only if both $P$ and $Q$ are unsatisfiable
prithatiti
answered
in
Mathematical Logic
Sep 5
by
prithatiti
9.0k
views
gatecse-2003
mathematical-logic
normal
propositional-logic
0
votes
0
answers
30
Eigen Value Of A Matrix
For given Matrix: [ 1 2 3 1 5 1 3 1 1 ] Why does the sum of the eigen values of above matrix is the sum of diagonal elements of that matrix?
ryandany07
asked
in
Linear Algebra
Sep 4
by
ryandany07
66
views
eigen-value
matrix
engineering-mathematics
0
votes
0
answers
31
Linear Algebra
MX = O is a homogeneous equation and such an equation when |M| = 0 has non trivial solution. M: Square Matrix O: Null Matrix Kindly help me with the above statement.
ryandany07
asked
in
Mathematical Logic
Aug 30
by
ryandany07
73
views
engineering-mathematics
linear-algebra
matrix
0
votes
0
answers
32
Engineering Mathematics
How the value of a1 = 3, a2 = 2 is calculated.
GateOverflow04
asked
in
Mathematical Logic
Aug 25
by
GateOverflow04
59
views
engineering-mathematics
generating-functions
test-series
0
votes
1
answer
33
combinatorics problem-2
How many ways are there to distribute 5 distinct toys among 3 children such that every child gets at least 1 toy? answer given is 150. but I'm getting 9. My approach go as follows: step-1 : give 1 toy to all 3 children, now, I am left with (5-3) = ... to either of first or second or third child. thus, toy1 has 3 choices and so do toy2. Therefore, my answer would be 3*3 = 9.
Roshakaw
asked
in
Combinatory
Aug 25
by
Roshakaw
119
views
combinatory
counting
numerical-answers
1
vote
2
answers
34
Combinatorics
How many ways are there to distribute 10 identical candies among 3 children such that the first child receives at least 2 candies, the second child receives atmost 6 candies and the third child receives atmost 3 candies.
Roshakaw
asked
in
Combinatory
Aug 25
by
Roshakaw
127
views
combinatory
counting
0
votes
1
answer
35
Engineering Mathematics
Does the given solution is correct: When S is symmetric and transitive, if S contain (3,1),(1,3) then (3,3) should also be present form transitivity. Please verify the solution.
GateOverflow04
asked
in
Set Theory & Algebra
Aug 23
by
GateOverflow04
100
views
engineering-mathematics
ace-test-series
set-theory
5
votes
0
answers
36
Combinatorics : Distinct objects and Distinct boxes
How many ways are there to Distribute 7 distinct objects to 3 Distinct boxes and No box should be Empty Any box can be Empty
[ Jiren ]
asked
in
Combinatory
Aug 22
by
[ Jiren ]
102
views
combinatory
counting
0
votes
1
answer
37
Engineering Mathematics
why 4^10 is done. solution: Please explain the last portion why 4^ 10 is done.
GateOverflow04
asked
in
Set Theory & Algebra
Aug 22
by
GateOverflow04
83
views
engineering-mathematics
ace-test-series
set-theory
1
vote
0
answers
38
Engineering Mathematics
Please verify the solution(the differentiation part ),
GateOverflow04
asked
in
Calculus
Aug 21
by
GateOverflow04
99
views
calculus
ace-test-series
0
votes
2
answers
39
maths probability
A dice is tossed seven times. What is the probability that all six faces appear at least once?
jugnu1337
asked
in
Probability
Aug 15
by
jugnu1337
170
views
probability
0
votes
1
answer
40
maths igate test series
Which of the relations below can also be characterized as a function defined on the set I = { 1, 2, 3, 4, 5 } { (x, y) | x, y ∈ I, x < y } B{ (x, y) | x, y ∈ I, x = 1 } C{ (x, y) | x, y ∈ I, x! = y } None of these
jugnu1337
asked
in
Set Theory & Algebra
Aug 15
by
jugnu1337
97
views
functions
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Recent questions and answers in Engineering Mathematics
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@GateOverflow04 link fixed now.
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sir is this for gate? it has way more questions...
https://gateoverflow.in/tag/gate2010 this link is...