Recent questions in Engineering Mathematics

#2941
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#2942
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#2943
433
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The number of seven digit integers possible with sum of the digits equal to 11 and formed by using the digits 1, 2 and 3 only are ________.
#2944
595
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2 answers
4 votes
Consider the set H of all 3 3 matrices of the type:$\begin{bmatrix} a&f&e\\ 0&b&d\\ 0&0&c\\ \end{bmatrix}$where a, b, c, d, e and f are real numbers ... but not a group(c) a semigroup but not a monoid(d) neither a group nor a semigroup
#2945
433
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0 answers
1 votes
which of the following is a distributive lattice?
#2946
636
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1 answers
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Consider two well-formed formula in proposition logic:Which of the following is correct?F1 is satisfiable, F2 is validF1 is unsatisfiable, F1 is satisfiableF1 is unsatisfiable, F2 is validF1 and F2 both are unsatisfiable
#2947
256
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R is real no(does not contain -1) ,S is subset of R then (S,*)1.not group but monoid2.not abelian group but group3.Abelian Group4.not semigroup but groupid
#2948
275
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A.TautologyB.SatisfiableC.ContradictionD.Noneafter simplification i m getting-Vz[T]=There exist z[F]what can conclude from this in above optionplease verify
#2949
339
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1 answers
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The value of $\dfrac{|x|}{x}$ at $x= 0$ is:InfinityNot defined$1$0$
#2950
4.0k
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1 answers
2 votes
Let the random variable X represent the number of times a fair coin needs to be tossed till two consecutive heads appear for the first time. The expectation of X is _______.
#2951
250
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Consider the statements:$\text{A} \Leftrightarrow \text{A} \vee \sim \text{A}$ ... III}$\text{I}$ and $\text{II}$\text{II}$ and $\text{IV}$\text{I}$
#2952
454
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In a course, a professor gives five grades $\{\text{A, B, C, D, F}\}.$ What is the minimum number of students required so that four of them are guaranteed to get the same grade?None of the above$14$18$16$
#2953
285
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Let $\text{A}$ be a $2 \times 2$ matrix with integer entries. Which of the following could be its eigenvalue?$\sqrt[3]{2}$\pi$\frac{1}{\sqrt{2}}$\sqrt{2}$
#2954
234
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What is logically equivalent to the following statement? “I pass only if you pass” (Note that fail is equivalent to not pass.)If you pass then I passYou fail if I failYou pass only if I passIf you fail then I fail
#2955
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$\lim_{x\rightarrow \frac{\pi }{2}}cosx^{cosx}$can we straight away say $0^{0}=0$ ?
#2956
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Please explain me with simple 1-2 examples how order of a subgroup divide order of a group and why it is always true.
#2957
234
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Seven coins are tossed , the probability that the number of heads exceeds the number of tails is ______
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#2959
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#2960
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True and falseIF A is 5*5 matrix thendet(4$A^{3}$)=$4^{5}det(A^{3}))$det($(4A)^{3}$)=$det(4^{3}A^{3}))$i think both are true ??