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Most answered questions in Engineering Mathematics
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3321
Kenneth Rosen Edition 7 Exercise 2.4 Question 8 (Page No. 168)
Find at least three different sequences beginning with the terms $3, 5, 7$ whose terms are generated by a simple formula or rule.
Find at least three different sequences beginning with the terms $3, 5, 7$ whose terms are generated by a simple formula or rule.
admin
2.0k
views
admin
asked
Apr 19, 2020
Set Theory & Algebra
kenneth-rosen
discrete-mathematics
set-theory&algebra
descriptive
+
–
0
votes
1
answer
3322
Kenneth Rosen Edition 7 Exercise 2.4 Question 7 (Page No. 168)
Find at least three different sequences beginning with the terms $1, 2, 4$ whose terms are generated by a simple formula or rule.
Find at least three different sequences beginning with the terms $1, 2, 4$ whose terms are generated by a simple formula or rule.
admin
529
views
admin
asked
Apr 19, 2020
Set Theory & Algebra
kenneth-rosen
discrete-mathematics
set-theory&algebra
descriptive
+
–
1
votes
1
answer
3323
Kenneth Rosen Edition 7 Exercise 2.4 Question 6 (Page No. 167 - 168)
List the first $10$ terms of each of these sequences. the sequence obtained by starting with $10$ and obtaining each term by subtracting $3$ from the previous term the sequence whose nth term is the sum of the first $n$ positive ... $2,$ and so on the sequence whose nth term is the largest integer $k$ such that $k! \leq n$
List the first $10$ terms of each of these sequences.the sequence obtained by starting with $10$ and obtaining each term by subtracting $3$ from the previous termthe sequ...
admin
3.5k
views
admin
asked
Apr 19, 2020
Set Theory & Algebra
kenneth-rosen
discrete-mathematics
set-theory&algebra
descriptive
+
–
0
votes
1
answer
3324
Kenneth Rosen Edition 7 Exercise 2.4 Question 5 (Page No. 167)
List the first $10$ terms of each of these sequences. the sequence that begins with $2$ and in which each successive term is $3$ more than the preceding term the sequence that lists each positive integer three times, in increasing ... $nth$ term is the number of letters in the English word for the index $n$
List the first $10$ terms of each of these sequences.the sequence that begins with $2$ and in which each successive term is $3$ more than the preceding termthe sequence t...
admin
1.7k
views
admin
asked
Apr 19, 2020
Set Theory & Algebra
kenneth-rosen
discrete-mathematics
set-theory&algebra
descriptive
+
–
0
votes
1
answer
3325
Kenneth Rosen Edition 7 Exercise 2.4 Question 4 (Page No. 167)
What are the terms $a_{0}, a_{1}, a_{2},$ and $a_{3}$ of the sequence $\{a_{n}\},$ where $a_{n}$ equals $(-2)^{n}$ $3$ $7+4^{n}$ $2^{n} + (-2)^{n}$
What are the terms $a_{0}, a_{1}, a_{2},$ and $a_{3}$ of the sequence $\{a_{n}\},$ where $a_{n}$ equals$(-2)^{n}$$3$$7+4^{n}$$2^{n} + (-2)^{n}$
admin
356
views
admin
asked
Apr 19, 2020
Set Theory & Algebra
kenneth-rosen
discrete-mathematics
set-theory&algebra
descriptive
+
–
0
votes
1
answer
3326
Kenneth Rosen Edition 7 Exercise 2.4 Question 3 (Page No. 167)
What are the terms $a_{0}, a_{1}, a_{2},$ and $a_{3}$ of the sequence $\{a_{n}\},$ where $a_{n}$ equals $2^{n} + 1$ $(n + 1)^{n+1}$ $\left \lfloor n/2\right \rfloor$ $\left \lfloor n/2\right \rfloor + \left \lceil n/2\right \rceil$
What are the terms $a_{0}, a_{1}, a_{2},$ and $a_{3}$ of the sequence $\{a_{n}\},$ where $a_{n}$ equals$2^{n} + 1$$(n + 1)^{n+1}$$\left \lfloor n/2\right \rfloor$$\left \...
admin
223
views
admin
asked
Apr 19, 2020
Set Theory & Algebra
kenneth-rosen
discrete-mathematics
set-theory&algebra
descriptive
+
–
0
votes
1
answer
3327
Kenneth Rosen Edition 7 Exercise 2.4 Question 2 (Page No. 167)
What is the term $a_{8}$ of the sequence $\{a_{n}\},$ if $a_{n}$ equals $2^{n−1}$ $7$ $1 + (−1)^{n}$ $−(−2)^{n}$
What is the term $a_{8}$ of the sequence $\{a_{n}\},$ if $a_{n}$ equals$2^{n−1}$$7$$1 + (−1)^{n}$$−(−2)^{n}$
admin
272
views
admin
asked
Apr 19, 2020
Set Theory & Algebra
kenneth-rosen
discrete-mathematics
set-theory&algebra
descriptive
+
–
0
votes
1
answer
3328
Kenneth Rosen Edition 7 Exercise 2.4 Question 1 (Page No. 167)
Find these terms of the sequence $\{a_{n}\},$ where $a_{n} = 2\cdot(−3)^{n} + 5^{n}.$ $a_{0}$ $a_{1}$ $a_{4}$ $a_{5}$
Find these terms of the sequence $\{a_{n}\},$ where $a_{n} = 2\cdot(−3)^{n} + 5^{n}.$$a_{0}$$a_{1}$$a_{4}$$a_{5}$
admin
290
views
admin
asked
Apr 19, 2020
Set Theory & Algebra
kenneth-rosen
discrete-mathematics
set-theory&algebra
descriptive
+
–
2
votes
1
answer
3329
NIELIT 2016 MAR Scientist C - Section C: 16
If $f:\{a,b\}^{\ast}\rightarrow \{a,b\}^{\ast }$ be given by $f(n)=ax$ for every value of $n\in \{a,b\}$, then $f$ is one to one not onto one to one and onto not one to one and not onto not one to one and onto
If $f:\{a,b\}^{\ast}\rightarrow \{a,b\}^{\ast }$ be given by $f(n)=ax$ for every value of $n\in \{a,b\}$, then $f$ isone to one not ontoone to one and ontonot one to one ...
admin
875
views
admin
asked
Apr 2, 2020
Set Theory & Algebra
nielit2016mar-scientistc
discrete-mathematics
set-theory&algebra
functions
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3
votes
1
answer
3330
NIELIT 2016 MAR Scientist C - Section B: 4
If $A$ and $B$ are two related events, and $P(A \mid B)$ represents the conditional probability, Bayes’ theorem states that $P(A\mid B) = \dfrac{P(A)}{P(B)} P(B\mid A)$ $P(A\mid B) = P(A) P(B) P(B\mid A)$ $P(A\mid B) = \dfrac{P(A)}{P(B)}$ $P(A\mid B) = P(A)+P(B)$
If $A$ and $B$ are two related events, and $P(A \mid B)$ represents the conditional probability, Bayes’ theorem states that $P(A\mid B) = \dfrac{P(A)}{P(B)} P(B\mid A)$...
admin
796
views
admin
asked
Apr 2, 2020
Probability
nielit2016mar-scientistc
engineering-mathematics
probability
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–
0
votes
1
answer
3331
NIELIT 2016 MAR Scientist C - Section B: 9
Consider three vectors $x=\begin{bmatrix}1\\2 \end{bmatrix}, y=\begin{bmatrix}4\\8 \end{bmatrix},z=\begin{bmatrix}3\\1 \end{bmatrix}$. Which of the folowing statements is true $x$ and $y$ are linearly independent $x$ and $y$ are linearly dependent $x$ and $z$ are linearly dependent $y$ and $z$ are linearly dependent
Consider three vectors $x=\begin{bmatrix}1\\2 \end{bmatrix}, y=\begin{bmatrix}4\\8 \end{bmatrix},z=\begin{bmatrix}3\\1 \end{bmatrix}$. Which of the folowing statements is...
admin
578
views
admin
asked
Apr 2, 2020
Linear Algebra
nielit2016mar-scientistc
engineering-mathematics
linear-algebra
eigen-vector
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–
2
votes
1
answer
3332
NIELIT 2016 MAR Scientist C - Section B: 10
$\underset{x \rightarrow 0}{\lim} \dfrac{x^{3}+x^{2}-5x-2}{2x^{3}-7x^{2}+4x+4}=?$ $-0.5$ $(0.5)$ $\infty$ None of the above
$\underset{x \rightarrow 0}{\lim} \dfrac{x^{3}+x^{2}-5x-2}{2x^{3}-7x^{2}+4x+4}=?$ $-0.5$$(0.5)$$\infty$None of the above
admin
466
views
admin
asked
Apr 2, 2020
Calculus
nielit2016mar-scientistc
engineering-mathematics
calculus
limits
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–
1
votes
1
answer
3333
NIELIT 2016 MAR Scientist C - Section B: 11
$\displaystyle \int_{0}^{\dfrac{\pi}{2}} \sin^{7}\theta \cos ^{4} \theta d\theta=?$ $16/1155$ $16/385$ $16\pi/385$ $8\pi/385$
$\displaystyle \int_{0}^{\dfrac{\pi}{2}} \sin^{7}\theta \cos ^{4} \theta d\theta=?$$16/1155$$16/385$$16\pi/385$$8\pi/385$
admin
368
views
admin
asked
Apr 2, 2020
Calculus
nielit2016mar-scientistc
engineering-mathematics
calculus
definite-integral
+
–
1
votes
1
answer
3334
NIELIT 2016 MAR Scientist C - Section B: 17
A ladder $13$ feet long rests against the side of a house. The bottom of the ladder slides away from the house at a rate of $0.5$ ft/s. How fast is the top of the ladder sliding down the wall when the bottom of the ladder is $5$ ... $-\dfrac{5}{24} \text {ft/s} \\$ $-\dfrac{5}{12} \text{ ft/s}$
A ladder $13$ feet long rests against the side of a house. The bottom of the ladder slides away from the house at a rate of $0.5$ ft/s. How fast is the top of the ladder ...
admin
436
views
admin
asked
Apr 2, 2020
Calculus
nielit2016mar-scientistc
engineering-mathematics
calculus
+
–
1
votes
1
answer
3335
NIELIT 2016 MAR Scientist C - Section B: 20
Degree of each vertex in $K_n$ is $n$ $n-1$ $n-2$ $2n-1$
Degree of each vertex in $K_n$ is $n$$n-1$$n-2$$2n-1$
admin
525
views
admin
asked
Apr 2, 2020
Graph Theory
nielit2016mar-scientistc
discrete-mathematics
graph-theory
+
–
0
votes
1
answer
3336
NIELIT 2017 OCT Scientific Assistant A (IT) - Section B: 7
$M$ is a square matrix of order $’n’$ and its determinant value is $5.$ If all the elements of $M$ are multiplied by $2,$ its determinant value becomes $40.$ The value of $’n’$ is $2$ $3$ $5$ $4$
$M$ is a square matrix of order $’n’$ and its determinant value is $5.$ If all the elements of $M$ are multiplied by $2,$ its determinant value becomes $40.$ The valu...
admin
611
views
admin
asked
Apr 1, 2020
Linear Algebra
nielit2017oct-assistanta-it
linear-algebra
matrix
determinant
+
–
0
votes
1
answer
3337
NIELIT 2017 OCT Scientific Assistant A (IT) - Section B: 34
The solution of the recurrence relation $a_{r} = a_{r-1} + 2a_{r-2}$ with $a_{0} = 2,a_{1} = 7$ is $a_{r} = (3)^{r} + (1)^{r}$ $2a_{r} = (2)^{r}/3 – (1)^{r}$ $a_{r} = 3^{r+1} – (-1)^{r}$ $a_{r} = 3(2)^{r} – (-1)^{r}$
The solution of the recurrence relation$a_{r} = a_{r-1} + 2a_{r-2}$ with $a_{0} = 2,a_{1} = 7$ is$a_{r} = (3)^{r} + (1)^{r}$$2a_{r} = (2)^{r}/3 – (1)^{r}$$a_{r} = 3^{r+...
admin
735
views
admin
asked
Apr 1, 2020
Combinatory
nielit2017oct-assistanta-it
combinatory
recurrence-relation
+
–
1
votes
1
answer
3338
NIELIT 2017 OCT Scientific Assistant A (CS) - Section C: 6
The solution of the recurrence relation $a_{r} = a_{r-1} + 2a_{r-2}$ with $a_{0} = 2,a_{1} = 7$ is $a_{r} = (3)^{r} + (1)^{r}$ $2a_{r} = (2)^{r}/3 – (1)^{r}$ $a_{r} = 3^{r+1} – (-1)^{r}$ $a_{r} = 3(2)^{r} – (-1)^{r}$
The solution of the recurrence relation$a_{r} = a_{r-1} + 2a_{r-2}$ with $a_{0} = 2,a_{1} = 7$ is$a_{r} = (3)^{r} + (1)^{r}$$2a_{r} = (2)^{r}/3 – (1)^{r}$$a_{r} = 3^{r+...
admin
503
views
admin
asked
Apr 1, 2020
Combinatory
nielit2017oct-assistanta-cs
discrete-mathematics
combinatory
recurrence-relation
+
–
0
votes
1
answer
3339
NIELIT 2017 OCT Scientific Assistant A (CS) - Section B: 7
The number of the edges in a regular graph of degree $’d’$ and $’n’$ vertices is Maximum of $n,d$ $n+d$ $nd$ $nd/2$
The number of the edges in a regular graph of degree $’d’$ and $’n’$ vertices is Maximum of $n,d$$n+d$$nd$$nd/2$
admin
577
views
admin
asked
Apr 1, 2020
Graph Theory
nielit2017oct-assistanta-cs
discrete-mathematics
graph-theory
degree-of-graph
+
–
2
votes
1
answer
3340
NIELIT 2017 OCT Scientific Assistant A (CS) - Section B: 18
What is the maximum value of the function $f(x) = 2x^{2} – 2x + 6$ in the interval $[0,2]?$ $6$ $10$ $12$ $5,5$
What is the maximum value of the function $f(x) = 2x^{2} – 2x + 6$ in the interval $[0,2]?$$6$$10$$12$$5,5$
admin
675
views
admin
asked
Apr 1, 2020
Calculus
nielit2017oct-assistanta-cs
engineering-mathematics
calculus
maxima-minima
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