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Recent questions tagged engineering-mathematics

1 votes
1 answer
571
Mathematics GATE 2018 EC: 23
Let $X_1$, $X_2$, $X_3$, and $X_4$ be independent normal random variables with zero mean and unit variance. The probability that $X_4$ is the smallest among the four is _______ .
Let $X_1$, $X_2$, $X_3$, and $X_4$ be independent normal random variables with zero mean and unit variance. The probability that $X_4$ is the smallest among the four is _...
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1 votes
0 answers
572
Mathematics GATE 2018 EE: 34
The number of roots of the polynomial, $s^{7} + s^{6} + 7s^{5} + 14s^{4} + 31s^{3} + 7s^{2}+ 25s + 200$, in the open left half of the complex plane is $3$ $4$ $5$ $6$
The number of roots of the polynomial, $s^{7} + s^{6} + 7s^{5} + 14s^{4} + 31s^{3} + 7s^{2}+ 25s + 200$, in the open left half of the complex plane is$3$$4$$5$$6$
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2 votes
3 answers
575
Mathematics GATE 2018 EE: 44
Let $A$ = $\begin{bmatrix} 1 & 0 & -1 \\-1 & 2 & 0 \\ 0 & 0 & -2 \end{bmatrix}$ and $B$ = $A^{3} - A^{2} -4A +5I$ where $I$ is the $3\times 3$ identity matrix. The determinant of $B$ is ________ (up to $1$ decimal place).
Let $A$ = $\begin{bmatrix} 1 & 0 & -1 \\-1 & 2 & 0 \\ 0 & 0 & -2 \end{bmatrix}$ and $B$ = $A^{3} - A^{2} -4A +5I$ where$I$ is the $3\times 3$ identity matrix. The de...
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0 votes
0 answers
576
Mathematics GATE 2018 EE: 43
Let $f(x) = 3x^{3} - 7x^{2} + 5x + 6$. The maximum value of $f(x)$ over the the interval $[ 0 , 2 ]$ is_________(Upto $1$ decimal place)
Let $f(x) = 3x^{3} - 7x^{2} + 5x + 6$. The maximum value of $f(x)$ over the the interval $[ 0 , 2 ]$ is_________(Upto $1$ decimal place)
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0 votes
0 answers
577
Differentiation confusion
Please show the steps how to differentiate u function equation and obtain this answer after differentating .please tell totally confused.
Please show the steps how to differentiate u function equation and obtain this answer after differentating .please tell totally confused.
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1 votes
1 answer
578
Mathematics GATE 2018 CH: 6
The figure which represents $y = \dfrac{sin x}{x}$ for $x>0$ ($x$ in radians) is
The figure which represents $y = \dfrac{sin x}{x}$ for $x>0$ ($x$ in radians) is
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1 votes
1 answer
579
Mathematics GATE 2018 CH: 33
If $y = e^{-x^2}$ then the value of $\displaystyle\lim_{x \to \infty} \dfrac{1}{x}\dfrac{\mathrm{d}y}{\mathrm{d}x}$ is _________ .
If $y = e^{-x^2}$ then the value of $\displaystyle\lim_{x \to \infty} \dfrac{1}{x}\dfrac{\mathrm{d}y}{\mathrm{d}x}$ is _________ .
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1 votes
2 answers
580
Mathematics GATE 2018 CH: 29
For the matrix $A = \begin{bmatrix}\cos\theta & -\sin\theta \\ \sin\theta & \cos\theta \end{bmatrix}$ if $\textit{det}$ stands for the determinant and $A^T$ is the transpose of $A$ then the value of $\textit{det}(A^TA)$ is __________ .
For the matrix $A = \begin{bmatrix}\cos\theta & -\sin\theta \\ \sin\theta & \cos\theta \end{bmatrix}$ if $\textit{det}$ stands for the determinant and $A^T$ is the transp...
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1 votes
0 answers
586
Last two digits
Last two digits $\frac{14^{14^{14}}}{100}$ How to find it by cyclicity
Last two digits $\frac{14^{14^{14}}}{100}$How to find it by cyclicity
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0 votes
1 answer
587
Gate_2018_Mock_Paper
How to get answer ....I am getting different answer which is not matching with any options
How to get answer ....I am getting different answer which is not matching with any options
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0 votes
0 answers
588
doubt
is there any other approach other than finding an inverse of P and multiplying with D
is there any other approach other than finding an inverse of P and multiplying with D
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1 votes
0 answers
589
doubt
what is the relation btw eigen value in "Nilpotent"
what is the relation btw eigen value in "Nilpotent"
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0 votes
0 answers
590
doubt
solution please
solution please
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1 votes
0 answers
592
calculate
what is answer someone tell i have a doubt 7 modulo 3 --> 7 modulo -3 --> -7 modulo 3 --> -7 modulo -3 -->
what is answer someone tell i have a doubt7 modulo 3 7 modulo -3 -7 modulo 3 -7 modulo -3 >
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0 votes
0 answers
593
Matrix
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0 votes
1 answer
594
Gate_2018_Mock
How to find eigen value in this type of matrix?
How to find eigen value in this type of matrix?
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2 votes
1 answer
595
Calculus Limit
Find the value of Here I got till $lim_{x \rightarrow \infty} \frac{4^2 + \frac{3^x}{4^x}}{4^{-2}}$. But how to proceed further?
Find the value of Here I got till $lim_{x \rightarrow \infty} \frac{4^2 + \frac{3^x}{4^x}}{4^{-2}}$. But how to proceed further?
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2 votes
2 answers
598
Integration
$\int_{-4}^{4}\left | x-3 \right |dx$
$\int_{-4}^{4}\left | x-3 \right |dx$
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6 votes
1 answer
599
MadeEasy Test Series 2018: Calculus - Limits
The value of $\lim_{x\rightarrow \infty }\left ( \frac{4^{x+2} + 3^{x}}{4^{x-2}} \right )$ is ____________
The value of $\lim_{x\rightarrow \infty }\left ( \frac{4^{x+2} + 3^{x}}{4^{x-2}} \right )$ is ____________
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