Recent questions and answers in Engineering Mathematics

Recent questions and answers in Engineering Mathematics

23 votes

6 answers

1

GATE CSE 2010 | Question: 5
What is the value of $ \displaystyle\lim_{n \to \infty}\left(1 - \frac{1}{n}\right)^{2n}$ ? $0$ $e^{-2}$ $e^{-1/2}$ $1$

Kabir5454 answered in Calculus 3 hours ago

5.7k views

2 votes

1 answer

2

CMI2015-A-04a
A college prepares its timetable by grouping courses in slots A, B, C, . . . All courses in a slot meet at the same time, and courses in different slots have disjoint timings. Course registration has been completed and the administration now knows ... a spanning tree with minimum number of edges Find a minimal coloring Find a minimum size vertex cover Find a maximum size independent

s_dr_13 answered in Graph Theory 4 hours ago

409 views

19 votes

5 answers

3

GATE IT 2008 | Question: 31
If $f(x)$ is defined as follows, what is the minimum value of $f(x)$ for $x \in (0, 2]$ ? $f(x) = \begin{cases} \frac{25}{8x} &\text{ when } x \leq \frac{3}{2} \\ x+ \frac{1}{x} &\text { otherwise}\end{cases}$ $2$ $2 \frac{1}{12}$ $2\frac{1}{6}$ $2\frac{1}{2}$

Kabir5454 answered in Calculus 15 hours ago

5.1k views

0 votes

0 answers

4

iit kanpur Calculas practice question
Does there exist a differentiable function f : [0, 2] → R satisfying f(0) = −1, f(2) = 4 and f’(x) ≤ 2 for all x ∈ [0, 2]?

Kabir5454 asked in Calculus 1 day ago

15 views

0 votes

2 answers

5

No of solution of the given equation
The Number of Points $x \in \Re$ for which $\sin ^{2} x-3x=5$ is , 0 1 more than one but finite $\infty$

Amar45 answered in Mathematical Logic 1 day ago

by Amar45

28 views

0 votes

1 answer

6

No of 5 letter english words that contains atleast one 'a' ?
No of 5 letter english words that contains atleast one 'a' ? i used the approch that

Kabir5454 answered in Combinatory 2 days ago

19 views

3 votes

1 answer

7

GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 5

Yuvraj Raghuvanshi answered in Set Theory & Algebra 3 days ago

by Yuvraj Raghuvanshi

49 views

1 vote

3 answers

8

No of spanning Trees
Let $K_n$ denote the complete undirected graph with $n$ vertices where n is an even number. Find the maximum number of spanning trees of $K_n$ that can be formed in such a way that no two of these spanning trees have a common edge.

samarpita answered in Graph Theory 4 days ago

2.9k views

2 votes

1 answer

9

GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 7

shishir__roy answered in Set Theory & Algebra 4 days ago

by shishir__roy

29 views

2 votes

1 answer

10

GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 12

shishir__roy answered in Set Theory & Algebra 4 days ago

by shishir__roy

41 views

2 votes

1 answer

11

GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 15

shishir__roy answered in Set Theory & Algebra 4 days ago

by shishir__roy

34 views

2 votes

1 answer

12

GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 1

GO Classes answered in Set Theory & Algebra 4 days ago

47 views

3 votes

1 answer

13

GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 2

GO Classes answered in Set Theory & Algebra 4 days ago

40 views

2 votes

1 answer

14

GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 3

GO Classes answered in Set Theory & Algebra 4 days ago

43 views

2 votes

1 answer

15

GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 4

GO Classes answered in Set Theory & Algebra 4 days ago

36 views

2 votes

1 answer

16

GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 6

GO Classes answered in Set Theory & Algebra 4 days ago

26 views

2 votes

1 answer

17

GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 8

GO Classes answered in Set Theory & Algebra 4 days ago

23 views

1 vote

1 answer

18

GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 9

GO Classes answered in Set Theory & Algebra 4 days ago

20 views

2 votes

1 answer

19

GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 10

GO Classes answered in Set Theory & Algebra 4 days ago

30 views

2 votes

1 answer

20

GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 11

GO Classes answered in Set Theory & Algebra 4 days ago

26 views

2 votes

1 answer

21

GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 13

GO Classes answered in Set Theory & Algebra 4 days ago

34 views

1 vote

1 answer

22

GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | Question: 14

GO Classes answered in Set Theory & Algebra 4 days ago

49 views

1 vote

2 answers

23

ISI2015-DCG-45
The value of $\underset{x \to 0}{\lim} \dfrac{\tan ^2 x – x \tan x }{\sin x}$ is $\frac{\sqrt{3}}{2}$ $\frac{1}{2}$ $0$ None of these

Kabir5454 answered in Calculus 5 days ago

154 views

0 votes

2 answers

24

NIELIT 2016 MAR Scientist B - Section B: 13
$\underset{x\to 0}{\lim} \dfrac{(1-\cos x)}{2}$ is equal to $0$ $1$ $1/3$ $1/2$

Kabir5454 answered in Calculus 5 days ago

348 views

0 votes

1 answer

25

Gilbert Strang
$\int_{}^{}\frac{x dx}{\sqrt{x^4-1}}$

Kabir5454 answered in Calculus 5 days ago

199 views

0 votes

1 answer

26

can any one suggest resources for discrete mathematics for gate
suggest some good resources for discrete mathematics

Bharat Bhushan answered in Mathematical Logic 5 days ago

by Bharat Bhushan

44 views

2 votes

1 answer

27

ISI2016-MMA-20
Let $f : (0, \infty) \rightarrow (0, \infty)$ be a strictly decreasing function. Consider $h(x) = \dfrac{f(\frac{x}{1+x})}{1+f(\frac{x}{1+x})}$. Which one of the following is always true? $h$ is strictly decreasing $h$ is strictly increasing $h$ is strictly decreasing at first and then strictly increasing $h$ is strictly increasing at first and then strictly decreasing

Kabir5454 answered in Calculus 6 days ago

155 views

0 votes

1 answer

28

Virtual Gate Test Series: Calculus
i have solved it by putting the values

Kabir5454 answered in Calculus 6 days ago

182 views

1 vote

1 answer

29

GATE-2014 EC
Which one of the following statements is NOT true for a square matrix A? If A is real symmetric, the eigen values of A are the diagonal elements of it. If all the principal minors of A are positive, all the eigen values of A are also positive. My question is what is “principal minors of A” ?

samarpita asked in Linear Algebra May 9

37 views

1 vote

1 answer

30

Eigen Values of an orthogonal matrix will always be +1 and the modulus will also be always |1|?

samarpita asked in Linear Algebra May 9

77 views

1 vote

0 answers

31

ISI2020-PCB-10
Let $X_i\sim (i.i.d) Bernoulli(\frac{\lambda}{n}),n\geq\lambda\geq 0$. $Y_i\sim (i.i.d) Poisson(\frac{\lambda}{n})$, $\{X_i\}$ and $\{Y_i\}$ are independent. Let $\sum_{i=1}^{n^2} X_i=T_n$ and $\sum_{i=1}^{n^2} Y_i=S_n$ (say). Find the limiting distribution of $\frac{T_n}{S_n}$ as $n\to \infty$.

sd4867 asked in Probability May 6

by sd4867

26 views

0 votes

1 answer

32

Calculus by Spivak 4th edition Chapter 10 problem 9

AngshukN asked in Calculus May 3

48 views

1 vote

1 answer

33

GO Classes Weekly Quiz 2 | Programming in C | Propositional Logic | Question: 4
How many rows appear in a truth table for this compound proposition? $p \rightarrow \neg p$

GO Classes asked in Mathematical Logic May 2

22 views

1 vote

1 answer

34

GO Classes Weekly Quiz 2 | Programming in C | Propositional Logic | Question: 5
How many rows appear in a truth table for this compound proposition? $(p \wedge r \wedge t) \leftrightarrow (q \wedge t)$

GO Classes asked in Mathematical Logic May 2

16 views

2 votes

2 answers

35

GO Classes Weekly Quiz 2 | Programming in C | Propositional Logic | Question: 6
Let $p$ be the statement Maria learns discrete mathematics and $q$ the statement Maria will find a good job. Which of the following English Statement expresses the statement $p \rightarrow q$ ? If Maria learns ... good job. For Maria to get a good job, it is sufficient for her to learn discrete mathematics.

GO Classes asked in Mathematical Logic May 2

19 views

1 vote

2 answers

36

GO Classes Weekly Quiz 2 | Programming in C | Propositional Logic | Question: 11

GO Classes asked in Mathematical Logic May 2

24 views

0 votes

1 answer

37

What is the number of faces in a connected plane graph having 23 vertices, 30 edges?

R S BAGDA asked in Graph Theory Apr 27

41 views

0 votes

1 answer

38

kenneth h rosen chapter 1 section 1.5 PRENEX NORMAL FORM in excercise 1.5
can this topic “PRENEX NORMAL FORM(PNF) ” is necsesary for gate or just i skip this topic.

ykrishnay asked in Mathematical Logic Apr 20

32 views

0 votes

0 answers

39

kenneth h rosen chapter 1 section section 1.5 nested quatnifiers excercise 49
49. a) Show that ∀xP (x) ∧ ∃xQ(x) is logically equivalent to ∀x∃y (P (x) ∧ Q(y)), where all quantifiers have the same nonempty domain. b) Show that ∀xP (x) ∨ ∃xQ(x) is equivalent to ∀x∃y (P (x) ∨ Q(y)), where all quantifiers have the same nonempty domain. please anybody tell how to prove this logical equivalency ?

ykrishnay asked in Mathematical Logic Apr 20

43 views

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