Recent questions in Engineering Mathematics

2 votes

1 answer

2521

ISI-MMA 2019 Sample Questions-23
For $n \geq1$, Let $a_{n} = \frac{1}{2^{2}} + \frac{2}{3^{2}} +.....+ \frac{n}{(n+1)^{2}}$ and $b_{n} = c_{0} + c_{1}r + c_{2}r^{2}+.....+c_{n}r^{n},$ where$|c_{k}| \leq M$ for all integers $k$ ... not a Cauchy sequence (C) $\{a_n\}$ is not a Cauchy sequence but $\{b_n\}$ is a Cauchy sequence (D) neither $\{a_n\}$ nor $\{b_n\}$ is a Cauchy sequence.

For $n \geq1$, Let$a_{n} = \frac{1}{2^{2}} + \frac{2}{3^{2}} +.....+ \frac{n}{(n+1)^{2}}$ and $b_{n} = c_{0} + c_{1}r + c_{2}r^{2}+.....+c_{n}r^{n},$where$|c_{k}| \leq M$...

ankitgupta.1729

1.2k views

ankitgupta.1729 asked Mar 17, 2019

0 votes

0 answers

2522

Graph Decomposition
What is Graph Decomposition & is it in the syllabus? If it is then please can anyone share some online resources for it. Thank you.

What is Graph Decomposition & is it in the syllabus?If it is then please can anyone share some online resources for it. Thank you.

254 views

noxevolution asked Mar 17, 2019

0 votes

0 answers

2523

Kenneth Rosen Edition 7 Exercise 1.4 Question 28 (Page No. 54)
Translate each of these statements into logical expression using predicates, quantifiers, and logical connectives. Something is not in the correct place. All tools are in the correct place and are in excellent condition. Everyone is in ... in excellent condition. One of your tools is not in the correct, but it is in excellent condition.

Translate each of these statements into logical expression using predicates, quantifiers, and logical connectives.Something is not in the correct place.All tools are in t...

697 views

Pooja Khatri asked Mar 16, 2019

0 votes

0 answers

2524

Kenneth Rosen Edition 7 Exercise 1.4 Question 27 (Page No. 54)
Translate each of these statements into logical expression in three different ways by varying the domain and by using predicates with one and with two variables. A student in your school has lived in Vietnam. There is a student in ... Prolog, and C++. Everyone in your class enjoys Thai food. Someone in your class does not play hockey.

Translate each of these statements into logical expression in three different ways by varying the domain and by using predicates with one and with two variables.A student...

1.3k views

Pooja Khatri asked Mar 16, 2019

0 votes

0 answers

2525

Kenneth Rosen Edition 7 Exercise 1.4 Question 26 (Page No. 54)
Translate each of these statements into logical expression in three different ways by varying the domain and by using predicates with one and with two variables. Someone in your school has visited Uzbekistan. Everyone in your class ... person in your school who is not happy. Everyone in your school was born in the twentieth century.

Translate each of these statements into logical expression in three different ways by varying the domain and by using predicates with one and with two variables.Someone i...

675 views

Pooja Khatri asked Mar 16, 2019

0 votes

0 answers

2526

Kenneth Rosen Edition 7 Exercise 1.4 Question 22 (Page No. 54)
For each of these statements find a domain for which the statement is true and a domain for which the statement is false. Everyone speak Hindi. There is someone older than 21 years. Everyone two people have the same first name. Someone knows more than two other people.

For each of these statements find a domain for which the statement is true and a domain for which the statement is false.Everyone speak Hindi.There is someone older than ...

785 views

Pooja Khatri asked Mar 16, 2019

0 votes

1 answer

2527

Kenneth Rosen Edition 7 Exercise 1.4 Question 21 (Page No. 54)
For each fo these statements find a domain for which the statements is true and a domain for which the statement is false. Everyone is studying discrete mathematics. Everyone is older than 21 years. Everyone two people have the same mother. No two different people have the same grandmother.

For each fo these statements find a domain for which the statements is true and a domain for which the statement is false.Everyone is studying discrete mathematics.Everyo...

6.3k views

Pooja Khatri asked Mar 16, 2019

0 votes

0 answers

2528

Kenneth Rosen Edition 7 Exercise 1.4 Question 20 (Page No. 54)
Suppose that the domain of the propositional function $P(x)$ consists of $-5,-3,-1,1,3,5.$ Express these statements without using quantifiers, instead using only negations, disjunctions, and conjunctions. $\exists x p(x)$ $\forall x p(x)$ ... $\exists x (\sim p(x)) \wedge \forall x ((x<0) \rightarrow p(x))$

Suppose that the domain of the propositional function $P(x)$ consists of $-5,-3,-1,1,3,5.$ Express these statements without using quantifiers, instead using only negation...

452 views

Pooja Khatri asked Mar 16, 2019

0 votes

0 answers

2529

Kenneth Rosen Edition 7 Exercise 1.4 Question 19 (Page No. 54)
Suppose that the domain of the propositional function $P(x)$ consists of the integers $1,2,3,4,5.$ Express these statements without using quantifiers, instead using only negations, disjunctions, and conjunctions. $\exists x P(x)$ $\forall x P(x)$ ... $\forall x ((x \neq 3) \rightarrow P(x)) \vee \exists x \sim P(x)$

Suppose that the domain of the propositional function $P(x)$ consists of the integers $1,2,3,4,5.$ Express these statements without using quantifiers, instead using only ...

540 views

Pooja Khatri asked Mar 16, 2019

0 votes

0 answers

2530

Kenneth Rosen Edition 7 Exercise 1.4 Question 18 (Page No. 53)
Suppose that the domain of the propositional function $P(x)$ consists of the integers $-2,-1,0,1,2.$ Write out each of these propositions using disjunctions, conjunctions, and negations. $\exists x P(x)$ $\forall x P(x)$ $\exists x \sim p(x)$ $\forall x \sim P(x)$ $\sim \exists x P(x)$ $\sim \forall x P(x)$

Suppose that the domain of the propositional function $P(x)$ consists of the integers $-2,-1,0,1,2.$ Write out each of these propositions using disjunctions, conjunctions...

635 views

Pooja Khatri asked Mar 16, 2019

1 votes

1 answer

2531

Kenneth Rosen Edition 7 Exercise 1.4 Question 17 (Page No. 53)
Suppose that the domain of the propositional function $P(x)$ consists of the integers $0,1,2,3, 4.$ Write out each of these propositions using disjunctions, conjunctions, and negations. $\exists x P(x)$ $\forall x P(x)$ $\exists x \sim P(x)$ $\forall x \sim P(x)$ $\sim \exists x P(x)$ $\sim \forall x P(x)$

Suppose that the domain of the propositional function $P(x)$ consists of the integers $0,1,2,3, 4.$ Write out each of these propositions using disjunctions, conjunctions,...

8.7k views

Pooja Khatri asked Mar 16, 2019

0 votes

0 answers

2532

Kenneth Rosen Edition 7 Exercise 1.4 Question 16 (Page No. 53)
Determine the truth value of each of these statements if the domain of each variable consists of all real numbers. $\exists x (x^2 = 2)$ $\exists x (x^2= -1)$ $\exists x (x^2+2 >=1)$ $\forall x (x^2 \neq x)$

Determine the truth value of each of these statements if the domain of each variable consists of all real numbers.$\exists x (x^2 = 2)$$\exists x (x^2= -1)$$\exists x (x^...

564 views

Pooja Khatri asked Mar 16, 2019

0 votes

1 answer

2533

Kenneth Rosen Edition 7 Exercise 1.4 Question 14 (Page No. 53)
Determine the truth value of each of these statements if the domain consists of all real numbers. $\exists x (x^3 = -1)$ $exists x (x^4 < x^2)$ $\forall x ((-x)^2 = x^2)$ $\forall x (2x >x)$

Determine the truth value of each of these statements if the domain consists of all real numbers.$\exists x (x^3 = -1)$$exists x (x^4 < x^2)$$\forall x ((-x)^2 = x^2)$$\f...

539 views

Pooja Khatri asked Mar 16, 2019

0 votes

1 answer

2534

Kenneth Rosen Edition 7 Exercise 1.4 Question 15 (Page No. 53)
Determine the truth value of each of these statements if the domain for all variables consists of all integers. $\forall n (n^2 >=0)$ $\exists n (n^2 =2)$ $\forall n (n^2 >=n)$ $\exists n (n^2 <0)$

Determine the truth value of each of these statements if the domain for all variables consists of all integers.$\forall n (n^2 >=0)$$\exists n (n^2 =2)$$\forall n (n^2 >=...

903 views

Pooja Khatri asked Mar 16, 2019

0 votes

1 answer

2535

Kenneth Rosen Edition 7 Exercise 1.4 Question 13 (Page No. 53)
Determine the truth value of each of these statements if the domain consists of all integers. $\forall n (n+1 > n)$ $\exists n (2n = 3n)$ $\exists n (n = -n)$ $\forall n (3n <= 4n)$

Determine the truth value of each of these statements if the domain consists of all integers.$\forall n (n+1 n)$$\exists n (2n = 3n)$$\exists n (n = -n)$$\forall n (3n <...

517 views

Pooja Khatri asked Mar 16, 2019

0 votes

0 answers

2536

Kenneth Rosen Edition 7 Exercise 1.4 Question 12 (Page No. 53)
Let $Q(x)$ be the statement “$x+1>2x.$” If the domain consists of all integers, what are these truth values? $Q(0)$ $Q(-1)$ $Q(1)$ $\exists xQ(x)$ $\forall x Q(x)$ $\exists x \sim Q(x)$ $\forall x \sim Q(x)$

Let $Q(x)$ be the statement “$x+1>2x.$” If the domain consists of all integers, what are these truth values?$Q(0)$$Q(-1)$$Q(1)$$\exists xQ(x)$$\forall x Q(x)$$\exists...

398 views

Pooja Khatri asked Mar 16, 2019

0 votes

2 answers

2537

Kenneth Rosen Edition 7 Exercise 1.4 Question 11 (Page No. 53)
Let $P(x)$ be the statement “$x = x^2$”. If the domain consists of the integers, what are these truth values? $P(0)$ $P(1)$ $P(2)$ $P(-1)$ $\exists xP(x)$ $\forall x P(x)$

Let $P(x)$ be the statement “$x = x^2$”. If the domain consists of the integers, what are these truth values?$P(0)$$P(1)$$P(2)$$P(-1)$$\exists xP(x)$$\forall x P(x)$

2.5k views

Pooja Khatri asked Mar 16, 2019

0 votes

0 answers

2538

Kenneth Rosen Edition 7 Exercise 1.4 Question 10 (Page No. 53)
Let $C(x)$ be the statement $x$ has a cat, let $D(x)$ be the statement $x$ has a dog, and let $F(x)$ be the statement $x$ ... and a ferret. For each of the three animals, cats,dogs, and ferrets, there is a student in your class who has this animal as a pet.

Let $C(x)$ be the statement “$x$ has a cat,” let $D(x)$ be the statement “$x$ has a dog,” and let $F(x)$ be the statement “$x$ has a ferret.” Express each of ...

513 views

Pooja Khatri asked Mar 16, 2019

1 votes

1 answer

2539

Kenneth Rosen Edition 7 Exercise 1.4 Question 8 (Page No. 53)
Translate these statements into English, where $R(x)$ is “$x$ is a rabbit” and $H(x)$ is “$x$ hops” and the domain consists of all animals. $\forall x (R(x) \rightarrow H(x))$ $\forall x (R(x) \wedge H(x))$ $\exists x (R(x) \rightarrow H(x))$ $\exists x (R(x) \wedge H(x))$

Translate these statements into English, where $R(x)$ is “$x$ is a rabbit” and $H(x)$ is “$x$ hops” and the domain consists of all animals.$\forall x (R(x) \right...

944 views

Pooja Khatri asked Mar 16, 2019

0 votes

0 answers

2540

Kenneth Rosen Edition 7 Exercise 1.4 Question 7 (Page No. 53)
Translate these statements into English, where $C (x)$ is “$x$ is comedian” and $F(x)$ is “$x$ is funny” and the domain consists of all poeple. $\forall x (C (x) \rightarrow F(x))$ $\forall x (C(x) \wedge F(x))$ $\exists x (C(x) \rightarrow F(x))$ $\exists x (C(x) \wedge F(x))$

Translate these statements into English, where $C (x)$ is “$x$ is comedian” and $F(x)$ is “$x$ is funny” and the domain consists of all poeple.$\forall x (C (x) ...

430 views

Pooja Khatri asked Mar 16, 2019

Page:

« prev
1
...
122
123
124
125
126
127
128
129
130
131
132
...
526
next »