Recent questions in Engineering Mathematics

#3121
5.2k
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7 answers
20 votes
A row of $10$ houses has to be painted using the colours red, blue, and green so that each house is a single colour, and any house that is immediately to the right of a ... are there to paint the houses?$199$683$1365$3^{10}-2^{10}$3^{10}$
#3122
2.3k
views
2 answers
7 votes
Consider directed graphs on $n$ labelled vertices $\{1,2, \dots ,n\}$, where each vertex has exactly one edge coming in and exactly one edge going out. We allow self-loops. How ... -1} \frac{1}{k}\bigg]$\frac{n!(n-1)}{2}$None of the above
#3123
341
views
0 answers
0 votes
If $y = f(x)$ is a solution of $ d^2y/dx^2 = 0$ , with boundary conditions $y=8$ at $x=0$and $dy/dx =4$ at $x=16$, Find the value of $f(-2)$When they say, $y = f(x)$ is a solution of $ d^2y/dx^2 = 0$ What does that mean?
#3124
560
views
0 answers
0 votes
Find the number of ways 4 fruits can be chosen out of 8 fruits so as to exclude the largest fruit.
#3125
290
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0 answers
0 votes
Find the largest integer value of x satisfying the inequality ${10 \choose x-1}$ < 2${10 \choose x}$
#3126
229
views
0 answers
0 votes
#3127
442
views
0 answers
1 votes
Compute the coefficient value of $ x^3 y^2z$ in the $(x-y+3z)^6$
#3128
711
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0 answers
0 votes
A ball is dropped from a height of 15 feet. Each time it strikes the pavement after falling from a height of h feet, it rebounds to a height of 0.6 h feet. What is the total distance the ball travels up and down?Please confirm the answer
#3129
636
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0 answers
0 votes
How to solve questions like these?
#3130
157
views
0 answers
0 votes
#3131
770
views
1 answers
1 votes
If H occurs, select number from 1 to 10. If T occurs, select number from 11 to 30. If selected number is prime, find the probability that it is in H.
#3132
353
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0 answers
1 votes
#3134
670
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1 answers
0 votes
Express these statement using predicates and quantifiers.A student must take at least 60 course hours ,or atleast 45 course hours and write a master's thesis, and ... lower than a B in all required courses, to receive a master's degree.
#3135
1.0k
views
2 answers
7 votes
Let $M(x) = \frac{x^{2018}}{(1-x)^{2019}}$we define $M(x) = \sum_{r=0}^{\infty}a_{r}x^{r}$ ,then $a_{r}$ is equal to-$A)\binom{r}{2019}$B)\binom{r}{r+2018}$C)\binom{r}{2019-r}$D)\binom{r}{r-2018}$
#3136
350
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0 answers
1 votes
Is below always true?$\lceil 2x \rceil=2.\lceil x \rceil$
#3137
478
views
3 answers
1 votes
#3138
481
views
1 answers
1 votes
Eigenvalues of an Idempotentmatrix matrix A is 0 or 1 right or wrong?
#3139
1.2k
views
1 answers
0 votes
in a directed graph if there is a directed path from any node u to v or vice versa for any pair of nodes of the graph ,the graph is? a. weakly connectedunilaterally connectedstrongly connecteddisconnected
#3140
527
views
2 answers
0 votes
Find a recurrence relation for the number of bit strings of length n that contains a pair of consecutive 0s