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Recent questions in Engineering Mathematics
1
vote
2
answers
101
Applied Mathematics Calculus and Limit Question
Evaluate the question of the following limits. $\lim_{x\rightarrow 1} \frac{x}{(x-1)^{2}}$
kidussss
asked
in
Calculus
Jul 9
by
kidussss
359
views
limits
calculus
0
votes
0
answers
102
Discrete Mathematics and Combinatorics
Solve the recurrence relation $a^{2}n-5a^{2}_{n-1}+4a^{2} _{n-2}=0$, if $a_{0}=4, a_{1}=13, n>1$
kidussss
asked
in
Combinatory
Jul 9
by
kidussss
179
views
discrete-mathematics
combinatory
recurrence-relation
0
votes
1
answer
103
Applied Mathematics Derivative
Please find derivation of the following equation. Let $f(x)=e^{x^{2}}\ln x,$ then find, ${f}'(x)$.
kidussss
asked
in
Calculus
Jul 8
by
kidussss
104
views
calculus
differentiation
0
votes
2
answers
104
Applied Mathematics Calculus and Limit Question
Evaluate the question of the following limits. $\lim_{x\rightarrow \infty} \frac{2x^{3}+3x-5}{5x^{3}+1}$
kidussss
asked
in
Calculus
Jul 8
by
kidussss
115
views
calculus
limits
0
votes
2
answers
105
Applied Mathematics Question
Let $f(x) = e^{x^2},$ then find $f''(x).$
kidussss
asked
in
Calculus
Jul 8
by
kidussss
119
views
calculus
differentiation
0
votes
0
answers
106
quantifiers to express each of these statements.
Let P(x) be the statement x has a cell phone and M(x,y) be the statement x and y have texted over the cell phone, where the domain for the variables x and y consists of all students in your class. Use quantifiers to ... other student in your class. c) Someone in your class has a cell phone but has not texted with anyone else in your class.
hussain yasir
asked
in
Mathematical Logic
Jul 7
by
hussain yasir
230
views
quantifiers
mathematical-logic
first-order-logic
0
votes
1
answer
107
Degree sequence of graph
Someone please solve it.
GateOverflow04
asked
in
Graph Theory
Jun 30
by
GateOverflow04
142
views
ace-test-series
degree-of-graph
0
votes
1
answer
108
Doubt:
Let “m” be the number of edges, “n” the number of vertices and “k” the number of connected components of a graph G. Prove that: $\left ( n-k \right )\leq m\leq \frac{\left ( n-k \right )\left ( n-k+1 \right )}{2}$ Why least number of edges are $\left ( n-k \right )$ and Why most number of edges are $\frac{\left ( n-k \right )\left ( n-k+1 \right )}{2}$ ? What is the idea behind this prove?
Simmi Kaur
asked
in
Graph Theory
Jun 28
by
Simmi Kaur
139
views
graph-connectivity
3
votes
2
answers
109
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 1
How many words can be formed by re-arranging the letters of the word “PROBLEMS” such that $P$ and $S$ occupy the first and last position respectively? (Note: The words thus formed need not be meaningful)
GO Classes
asked
in
Combinatory
Jun 14
by
GO Classes
333
views
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
1-mark
4
votes
1
answer
110
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 2
A set of cards is numbered $1$ through $6.$ Quantity A: The number of ways to pick $3$ of the $6$ cards such that card number $1$ ... Quantity B is greater than Quantity A. The two quantities are equal. The relationship cannot be determined from the information given.
GO Classes
asked
in
Combinatory
Jun 14
by
GO Classes
242
views
goclasses_wq13
goclasses
combinatory
counting
1-mark
4
votes
2
answers
111
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 3
Consider the following two combinatorial identities: For all $\mathrm{k}, \mathrm{n} \in \mathrm{N}$ with $\mathrm{k} \leq \mathrm{n}$ ... $1$ Only $2$ Both None
GO Classes
asked
in
Combinatory
Jun 14
by
GO Classes
202
views
goclasses_wq13
goclasses
combinatory
counting
1-mark
3
votes
1
answer
112
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 4
We go to a pizza party, and there are $5$ types of pizza. We have been starving for days, so we can eat $13$ slices, but we want to sample each type at least once. In how many ways can we do this? Order does not matter.
GO Classes
asked
in
Combinatory
Jun 14
by
GO Classes
218
views
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
1-mark
3
votes
1
answer
113
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 5
How many integer solutions does the equation $ x_{1}+x_{2}+x_{3}+x_{4}=15 $ have, if we require that $x_{1} \geq 2, x_{2} \geq 3, x_{3} \geq 10$ and $x_{4} \geq-3 ?$
GO Classes
asked
in
Combinatory
Jun 14
by
GO Classes
172
views
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
1-mark
5
votes
1
answer
114
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 6
How many integer solutions are there to the system of inequalities $ x_{1}+x_{2}+x_{3}+x_{4} \leq 15, \quad x_{1}, \ldots, x_{4} \geq 0 ? $
GO Classes
asked
in
Combinatory
Jun 14
by
GO Classes
183
views
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
1-mark
5
votes
3
answers
115
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 7
We want those bit strings of length $10$ which Start and end with the symbol $1.$ No two zeroes are consecutive. How many such bit strings are there?
GO Classes
asked
in
Combinatory
Jun 14
by
GO Classes
386
views
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
2-marks
3
votes
1
answer
116
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 8
How many ways are there to split a dozen people into $3$ teams, where one team has $2$ people, and the other two teams have $5$ people each?
GO Classes
asked
in
Combinatory
Jun 14
by
GO Classes
269
views
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
2-marks
8
votes
1
answer
117
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 9
A student is given an exam consisting of $8$ essay questions divided into $4$ groups of $2$ questions each. The student is required to select a set of $6$ questions to answer, including at least $1$ question from each of the $4$ groups. How many sets of questions satisfy this requirement?
GO Classes
asked
in
Combinatory
Jun 14
by
GO Classes
357
views
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
2-marks
5
votes
1
answer
118
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 10
In how many rearrangements of the letters of the word SCINTILLATING will no two 'I's appear together? ${ }^{11} \mathrm{C}_{3} * 13!$ $\frac{10 !}{2 ! * 2 ! * 2 !}$ ${ }^{11} \mathrm{C}_{3} * 3 ! * 10 !$ ${ }^{11} \mathrm{C}_{3} \frac{10 !}{2 ! * 2 ! * 2 !}$
GO Classes
asked
in
Combinatory
Jun 14
by
GO Classes
214
views
goclasses_wq13
goclasses
combinatory
counting
2-marks
3
votes
2
answers
119
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 11
How many squares are there in a chess board? $64$ $204$ $1296$ $4096$
GO Classes
asked
in
Combinatory
Jun 14
by
GO Classes
297
views
goclasses_wq13
goclasses
combinatory
counting
2-marks
2
votes
1
answer
120
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | Question: 12
How many rectangles are there in a chess board?
GO Classes
asked
in
Combinatory
Jun 14
by
GO Classes
193
views
goclasses_wq13
numerical-answers
goclasses
combinatory
counting
2-marks
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