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Questions without answers in Engineering Mathematics

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Matrices
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Mathematical Logic
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Lattices | Discrete Mathematics
why pentagon is not a lattice ?
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https://gateoverflow.in/380396/go-classes-test-series-2024-linear-algebra-test-question-16
please explain me this question @Sachin Mittal 1. I am unable to understand this questioncan anyone
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Self doubt on Combinatorics Discrete Mathematics
What is the total number of integer partitions ( unordered Summation) of the natural number 8 ?I am getting 22. Is it correct ?
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GO Classes Set Theory And Algebra Practice Set 1 | Question: 22
Given the relation $R=\{(n, m)|n, m \in \mathbb{Z}| n,|\neq| m \mid\}$. Which of the following statements about $R$ ... antisymmetric$R$ is not an equivalence relation because it is not symmetric$R$ is an equivalence relation
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GO Classes Set Theory And Algebra Practice Set 1 | Question: 23
Determine whether the following relations are reflexive, symmetric, antisymmetric, and/or transitive:The empty relation $\text{R}=\{\}$ is defined on the natural numbers.The complete ... on the integers where $a\text{R}b$ means $a^2=b^2$.
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GO Classes 2025 | Weekly Quiz 21 | Calculus | Question: 12
The derivative of $g(x)=e^{\sqrt{x}}$ is$\sqrt{x} e^{\sqrt{x}-1}$ $2 e^{\sqrt{x}} x^{-0.5}$ $\dfrac{0.5 e^{\sqrt{x}}}{\sqrt{x}}$ $e^{\sqrt{x}}$
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GO Classes 2025 | Weekly Quiz 21 | Calculus | Question: 23
Shown below are portions of the graphs of $y=f(x), y=f^{\prime}(x)$, and $y=f^{\prime \prime}(x)$ ... , C-f^{\prime}(x)$A-f^{\prime}(x), B-f^{\prime \prime}(x), C-f(x)$
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GO Classes 2025 | Weekly Quiz 21 | Calculus | Question: 25
Suppose $h(x)$ is a function such that $h(x)$ has exactly three critical point. Two of which are shown in the table below.Assume that both $h(x)$ and $h^{\prime}(x)$ are ... x)$ be increasing on the entire interval?$(0,3)$(3,5)$(5,6)$(6,7)$
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Expectation of Random Variable
Consider a quiz where a person is given two questions and he must decide which question to answer first. Question 1 will be answered correctly with probability of 0.8 and the person ... + P(X= 200) + P(X=300) = 2Where I am getting wrong?
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Clrs ex 5.2-2 chapter5 page133 4thedition
Hiring assistant. Initially assistant is NULL We have n candidates who hv come to interview for the position of assistant. Each candidate has distinct scores or level ... is The best candidate comes in at kth position.Am I right? Thankyou.
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Applied Mathematics-IB
Determine all the number(s) c which satisfy the conclusion of Roles' Theorem for the given function and interval $f(x)=x^{2}-2x-8 $ on $ [-1,3]$
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Applied Mathematics-IB
sketch the graph of $h(x)=-(x+4)^{3}$ and identify all the relative extrema and absolute extrema of the function.
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Applied Mathematics-IB
1. Evaluate $x\rightarrow 5 lim (10)+\mid x-5\mid$
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Hasse diagram
Draw the Hasse diagram for the "divides" relation (∣) on the set {0,1,…,26}
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Discrete Mathematics | Propositional Logic | Test 1 | Question: 7
The $\textit{well-formed formulas (wff)}$ of propositional logic are obtained by using the following rules: 1. An atomic proposition $\phi$ is a well- ... Q and R are atomic propositions) Total number of well-formed formulas are ______
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Discrete Mathematics | Propositional Logic | Test 1 | Question: 9
Consider the following statements:         "Ralph is a dog if he's not a puppet" can be formalized as $\neg$ (Ralph is a puppet) $\rightarrow$ (Ralph is a dog) ... and $(iii)$ are correct           $(i),(ii)$ and $(iii)$ are correct
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Discrete Mathematics | Propositional Logic | Test 1 | Question: 12
The atomic propositional variables $p_0,p_1,...$ are $\textit{formulas},$ called $\textit{prime formulas},$ also called $\textit{atomic}$ formulas, or simply $\textit{primes}.$ ... $p \vee \neg (\neg p \wedge q)$ is either a DNF or a CNF.
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GATE EE 2008
Q.51 A is mx n full rank matrix with m>n and I is an identity matrix. Let matrix A' = (A^T.A)^-1 A^T. Then,which one of the following statement is TRUE? (a) ... A'[EE, GATE-2008, 2 marks]Where, X^T: Transpose of X and X^-1= Inverse of X
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GATE EE 2007
The linear operation L(x) is defined by the cross product L(x) = b x X, where b=[0 1 0] and X=[xxx]' are three dimensional vectors. The 3 x 3 matrix M of this operation satisfies:L ... , -1, 1(c) i, -i, 0(d) i, -i, 1[EE, GATE-2007, 2 marks]
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discrete mathematics
The maximum number of edges possible in a graph G with 9 vertices which is 3 colourable is equal toA 24B 27C 36D None of the above
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GO Classes 2023 | IIITH Mock Test 1 | Question: 41
Consider the following predicates.$\text{Rabbit}(x) = x$ is a rabbit.$\text{Cute}(x) = x$ is cute.Consider the following statement $\text{E},$ where the domain ... a rabbit but is cute.There is some rabbit who is cute in jungle $\text{J}.$
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kenneth rosen, counting, exercise: 6.5, question: 50
How many ways are there to distribute five distinguishable objects into three indistinguishable boxes?
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Kenneth Rosen, exercise: 6.2, question: 8
Show that if f is a function from S to T , where S and T are finite sets with |S| > |T |, then there are elements s1 and s2 in S such that ... contradiction ?Is it possible to prove the same by using proof by contraposition ? If yes, how?
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TIFR CSE 2023 | Part B | Question: 7
Consider the random variables $N, H$, and $T$ sampled as follows. First, $N$ is sampled from the Poisson$(10)$ distribution. This means that for each integer $n \geq 0$,\[\ ... $T$ are not independent, and $E[H T]>E[H] \times E[T]$.
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