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Most viewed questions in Engineering Mathematics
0
votes
0
answers
1
GATE2018 CE-1: 2
For the given orthogonal matrix Q, $Q = \begin{bmatrix} 3/7 & 2/7 & 6/7 \\ -6/7 & 3/7 & 2/7 \\ 2/7 & 6/7 & -3/7 \end{bmatrix}$ ... $\begin{bmatrix} -3/7 & 6/7 & -2/7 \\ -2/7 & -3/7 & -6/7 \\ -6/7 & -2/7 & 3/7 \end{bmatrix}$
For the given orthogonal matrix Q, $Q = \begin{bmatrix} 3/7 & 2/7 & 6/7 \\ -6/7 & 3/7 & 2/7 \\ 2/7 & 6/7 & -3/7 \end{bmatrix}$ The inverse is$\begin{bmatrix} 3/7 & 2/7 &...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Linear Algebra
gate2018-ce-1
linear-algebra
matrices
orthogonal-matrix
inverse-of-matrix
+
–
0
votes
0
answers
2
GATE2018 CE-1: 3
At the point $x= 0$, the function $f(x) = x^3$ has local maximum local minimum both local maximum and minimum neither local maximum nor local minimum
At the point $x= 0$, the function $f(x) = x^3$ haslocal maximumlocal minimumboth local maximum and minimumneither local maximum nor local minimum
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Calculus
gate2018-ce-1
calculus
maxima-minima
+
–
0
votes
1
answer
3
GATE2018 CE-1: 1
Which one of the following matrices is singular? $\begin{bmatrix} 2 & 5 \\ 1 & 3 \end{bmatrix} \\$ $\begin{bmatrix} 3 & 2 \\ 2 & 3 \end{bmatrix} \\$ $\begin{bmatrix} 2 & 4\\ 3 & 6 \end{bmatrix} \\$ $\begin{bmatrix} 4 & 3\\ 6 & 2 \end{bmatrix}$
Which one of the following matrices is singular?$\begin{bmatrix} 2 & 5 \\ 1 & 3 \end{bmatrix} \\$$\begin{bmatrix} 3 & 2 \\ 2 & 3 \end{bmatrix} \\$$\begin{bmatrix} 2 & 4\\...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Linear Algebra
gate2018-ce-1
linear-algebra
matrices
determinant
+
–
0
votes
0
answers
4
GATE2016-2-4
$X$ and $Y$ are two random independent events. It is known that $P(X)=0.40$ and $P(X \cup Y^C)=0.7$. Which one of the following is the value of $P(X \cup Y)$? $0.7$ $0.5$ $0.4$ $0.3$
$X$ and $Y$ are two random independent events. It is known that $P(X)=0.40$ and $P(X \cup Y^C)=0.7$. Which one of the following is the value of $P(X \cup Y)$?$0.7$$0.5$$0...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 27, 2018
Probability and Statistics
gate2016-ce-2
probability-and-statistics
probability
independent-events
+
–
0
votes
0
answers
5
GATE2020-CE-1-27
A continuous function $f(x)$ is defined. If the third derivative at $x_i$ is to be computed by using the fourth order central finite-divided-difference scheme (with step length $=h$ ...
A continuous function $f(x)$ is defined. If the third derivative at $x_i$ is to be computed by using the fourth order central finite-divided-difference scheme (with step ...
go_editor
5.3k
points
go_editor
asked
Feb 27, 2020
Calculus
gate2020-ce-1
calculus
derivatives
continuous-function
+
–
0
votes
0
answers
6
GATE2017 CE-2-20
A two-faced fair coin has its faces designated as head (H) and tail (T). This coin is tossed three times in succession to record the following outcomes: H, H, H. If the coin is tossed one more time, the probability (up to one decimal place) of obtaining H again, given the previous realizations of H, H and H, would be ________
A two-faced fair coin has its faces designated as head (H) and tail (T). This coin is tossed three times in succession to record the following outcomes: H, H, H. If the c...
gatecse
4.0k
points
gatecse
asked
Aug 7, 2019
Probability and Statistics
gate2017-ce-2
numerical-answers
probability-and-statistics
probability
conditional-probability
+
–
1
votes
0
answers
7
GATE2016-2-27
If $f(x)$ and $g(x)$ are two probability density functions, $f(x) = \begin{cases} \dfrac{x}{a}+1 & :-a \leq x < 0 \\ -\dfrac{x}{a}+1 & : 0 \leq x \leq a \\ 0 & :\text{otherwise} \end{cases}$ ... different; Variance of $f(x)$ and $g(x)$ are same Mean of $f(x)$ and $g(x)$ are different; Variance of $f(x)$ and $g(x)$ are different
If $f(x)$ and $g(x)$ are two probability density functions,$f(x) = \begin{cases} \dfrac{x}{a}+1 & :-a \leq x < 0 \\ -\dfrac{x}{a}+1 & : 0 \leq x \leq a \\ 0 & :\text{oth...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 27, 2018
Probability and Statistics
gate2016-ce-2
probability-and-statistics
probability
probability-density-function
variance
+
–
0
votes
2
answers
8
GATE2019 CE-2: 43
A series of perpendicular offsets taken from a curved boundary wall to a straight survey line at an interval of $6 \: m$ are $1.22, \: 1.67, \: 2.04, \: 2.34, \: 2.14, \: 1.87$, and $1.15 \:m$. The area (in $m^2$, round off to 2 decimal places) bounded by the survey line, curved boundary wall, the first and the last offsets, determined using Simpson’s rule, is ________
A series of perpendicular offsets taken from a curved boundary wall to a straight survey line at an interval of $6 \: m$ are $1.22, \: 1.67, \: 2.04, \: 2.34, \: 2.14, \:...
Arjun
13.0k
points
Arjun
asked
Feb 12, 2019
Numerical Methods
gate2019-ce-2
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
numerical-answers
+
–
0
votes
0
answers
9
GATE2019 CE-1: 30
Consider two functions: $x=\psi \text{ ln } \phi$ and $y= \phi \text{ ln } \psi$. Which one of the following is the correct expression for $\frac{\partial \psi}{\partial x}$? $\dfrac{x \: \text{ln } \psi}{\text{ln } \phi \text{ ln } \psi -1} \\$ ... $\dfrac{\: \text{ln } \psi}{\text{ln } \phi \text{ ln } \psi -1}$
Consider two functions: $x=\psi \text{ ln } \phi$ and $y= \phi \text{ ln } \psi$. Which one of the following is the correct expression for $\frac{\partial \psi}{\partial ...
Arjun
13.0k
points
Arjun
asked
Feb 14, 2019
Calculus
gate2019-ce-1
calculus
partial-derivatives
+
–
0
votes
0
answers
10
GATE2017 CE-1: 1
The matrix $P$ is the inverse of a matrix $Q$. If $I$ denotes the identity matrix, which one of the following options is correct? $PQ=I$ but $QP \neq I$ $QP=I$ but $PQ \neq I$ $PQ=I$ and $QP= I$ $PQ-QP= I$
The matrix $P$ is the inverse of a matrix $Q$. If $I$ denotes the identity matrix, which one of the following options is correct?$PQ=I$ but $QP \neq I$$QP=I$ but $PQ \neq...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Linear Algebra
gate2017-ce-1
linear-algebra
matrices
inverse-of-matrix
+
–
2
votes
1
answer
11
GATE2019 CE-1: 1
Which one of the following is correct? $\displaystyle{} \lim_{x\rightarrow 0} \left( \dfrac{\sin4x}{\sin2x}\right)=2\;\text{and}\: \lim_{x\rightarrow 0} \left( \dfrac{\tan x}{x}\right)=1$ ...
Which one of the following is correct?$\displaystyle{} \lim_{x\rightarrow 0} \left( \dfrac{\sin4x}{\sin2x}\right)=2\;\text{and}\: \lim_{x\rightarrow 0} \left( \dfrac{\tan...
Arjun
13.0k
points
Arjun
asked
Feb 14, 2019
Calculus
gate2019-ce-1
calculus
limits
+
–
1
votes
0
answers
12
GATE2019 CE-1: 4
For a small value of $h$, the Taylor series expansion for $f(x+h)$ is $f(x)+h{f}' (x) + \dfrac{h^2}{2!}{f}''(x) + \dfrac{h^3}{3!}{f}'''(x)+\dots \infty \\$ $f(x)-h{f}' (x) + \dfrac{h^2}{2!}{f}''(x) - \dfrac{h^3}{3!}{f}'''(x)+ \dots \infty \\$ ... $f(x)-h{f}' (x) + \dfrac{h^2}{2}{f}''(x) - \dfrac{h^3}{3}{f}'''(x)+ \dots \infty $
For a small value of $h$, the Taylor series expansion for $f(x+h)$ is$f(x)+h{f}’ (x) + \dfrac{h^2}{2!}{f}’’(x) + \dfrac{h^3}{3!}{f}’'’(x)+\dots \infty \\$$f(x)-...
Arjun
13.0k
points
Arjun
asked
Feb 14, 2019
Calculus
gate2019-ce-1
calculus
taylor-series
+
–
0
votes
1
answer
13
GATE2020-CE-1-18
The probability that a $50$ year flood may $\textbf{NOT}$ occur at all during $25$ years life of a project (round off to two decimal places), is _______.
The probability that a $50$ year flood may $\textbf{NOT}$ occur at all during $25$ years life of a project (round off to two decimal places), is _______.
go_editor
5.3k
points
go_editor
asked
Feb 27, 2020
Probability and Statistics
gate2020-ce-1
probability-and-statistics
probability
numerical-answers
+
–
0
votes
0
answers
14
GATE2019 CE-1: 27
A one-dimensional domain is discretized into $N$ sub-domains of width $\Delta x$ with node numbers $i=0,1,2,3, \dots , N$. If the time scale is discretized in steps of $\Delta t$, the forward-time and centered-space finite difference approximation at i th node and n th time step, for the ...
A one-dimensional domain is discretized into $N$ sub-domains of width $\Delta x$ with node numbers $i=0,1,2,3, \dots , N$. If the time scale is discretized in steps of $\...
Arjun
13.0k
points
Arjun
asked
Feb 14, 2019
Partial Differential Equation (PDE)
gate2019-ce-1
partial-differential-equation
+
–
0
votes
0
answers
15
GATE2020-CE-1-3
The true value of $\ln(2)$ is $0.69$. If the value of $\ln(2)$ is obtained by linear interpolation between $\ln(1)$ and $\ln(6)$, the percentage of absolute error (round off to the nearest integer), is $35$ $48$ $69$ $84$
The true value of $\ln(2)$ is $0.69$. If the value of $\ln(2)$ is obtained by linear interpolation between $\ln(1)$ and $\ln(6)$, the percentage of absolute error (round ...
go_editor
5.3k
points
go_editor
asked
Feb 27, 2020
Numerical Methods
gate2020-ce-1
numerical-methods
linear-interpolation
+
–
1
votes
0
answers
16
GATE2019 CE-1: 2
Consider a two-dimensional flow through isotropic soil along $x$ direction and $z$ direction. If $h$ is the hydraulic head, the Laplace's equation of continuity is expressed as $\dfrac{\partial h}{\partial x}+ \dfrac{\partial h}{\partial z} = 0 \\$ ...
Consider a two-dimensional flow through isotropic soil along $x$ direction and $z$ direction. If $h$ is the hydraulic head, the Laplace’s equation of continuity is exp...
Arjun
13.0k
points
Arjun
asked
Feb 14, 2019
Partial Differential Equation (PDE)
gate2019-ce-1
partial-differential-equation
laplace-equation
+
–
0
votes
0
answers
17
GATE2014-2-5
If $\{x\}$ is a continuous, real valued random variable defined over the interval $(- \infty, + \infty)$ and its occurrence is defined by the density function given as: $f(x) = \dfrac{1}{\sqrt{2 \pi} *b} e^{-\frac{1}{2} (\frac{x-a}{b})^2}$ where $'a'$ and $b'$ are the statistical ... $1$ $0.5$ $\pi$ $\dfrac{\pi}{2}$
If $\{x\}$ is a continuous, real valued random variable defined over the interval $(- \infty, + \infty)$ and its occurrence is defined by the density function given as: $...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2014-ce-2
probability-and-statistics
probability
probability-density-function
random-variable
+
–
0
votes
1
answer
18
GATE2018 CE-1: 37
The solution at $x=1$, $t=1$ of the partial differential equation $\dfrac{\partial ^2 u}{\partial x^2} = 25 \dfrac{\partial ^2 u}{\partial t^2}$ subject to initial conditions of $u(0) = 3x$ and $\dfrac{\partial u}{\partial t}(0) =3$ is _______ $1$ $2$ $4$ $6$
The solution at $x=1$, $t=1$ of the partial differential equation $\dfrac{\partial ^2 u}{\partial x^2} = 25 \dfrac{\partial ^2 u}{\partial t^2}$ subject to initial condit...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Partial Differential Equation (PDE)
gate2018-ce-1
partial-differential-equation
+
–
0
votes
0
answers
19
GATE2016-2-5
What is the value of $\underset{x \rightarrow 0 \\ y \rightarrow 0}{\lim} \dfrac{xy}{x^2+y^2}$? $1$ $-1$ $0$ Limit does not exist
What is the value of $\underset{x \rightarrow 0 \\ y \rightarrow 0}{\lim} \dfrac{xy}{x^2+y^2}$?$1$$-1$$0$Limit does not exist
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 27, 2018
Calculus
gate2016-ce-2
calculus
limits
+
–
0
votes
0
answers
20
GATE2019 CE-1: 23
The probability that the annual maximum flood discharge will exceed $25000 \: m^3/s$, at least once in next $5$ years is found to be $0.25$. The return period of this flood event (in years, round off to $1$ decimal place is __________
The probability that the annual maximum flood discharge will exceed $25000 \: m^3/s$, at least once in next $5$ years is found to be $0.25$. The return period of this flo...
Arjun
13.0k
points
Arjun
asked
Feb 14, 2019
Probability and Statistics
gate2019-ce-1
numerical-answers
probability-and-statistics
probability
conditional-probability
+
–
0
votes
0
answers
21
GATE2015-2-29
For step-size, $\Delta x =0.4$, the value of following integral using Simpson’s $1/3$ rule is _______. $\int_0^{0.8} (0.2 + 25 x – 200 x^2 + 675 x^3 – 900 x^4 +400 x^5) dx$
For step-size, $\Delta x =0.4$, the value of following integral using Simpson’s $1/3$ rule is _______.$$\int_0^{0.8} (0.2 + 25 x – 200 x^2 + 675 x^3 – 900 x^4 +400 ...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Numerical Methods
gate2015-ce-2
numerical-answers
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
+
–
0
votes
0
answers
22
GATE2019 CE-2: 1
Euclidean norm (length) of the vector $\begin{bmatrix} 4 & -2 & -6 \end{bmatrix}^T$ is $\sqrt{12}$ $\sqrt{24}$ $\sqrt{48}$ $\sqrt{56}$
Euclidean norm (length) of the vector $\begin{bmatrix} 4 & -2 & -6 \end{bmatrix}^T$ is$\sqrt{12}$$\sqrt{24}$$\sqrt{48}$$\sqrt{56}$
Arjun
13.0k
points
Arjun
asked
Feb 12, 2019
Linear Algebra
gate2019-ce-2
linear-algebra
matrices
unit-vector
+
–
0
votes
0
answers
23
GATE2019 CE-2: 3
The following inequality is true for all $x$ close to $0$. $2-\dfrac{x^2}{3} < \dfrac{x \sin x}{1- \cos x} <2$ What is the value of $\underset{x \to 0}{\lim} \dfrac{x \sin x}{1 – \cos x}$? $0$ $1/2$ $1$ $2$
The following inequality is true for all $x$ close to $0$.$$2-\dfrac{x^2}{3} < \dfrac{x \sin x}{1- \cos x} <2$$What is the value of $\underset{x \to 0}{\lim} \dfrac{x \si...
Arjun
13.0k
points
Arjun
asked
Feb 12, 2019
Calculus
gate2019-ce-2
calculus
limits
+
–
0
votes
0
answers
24
GATE Civil 2021 Set 2 | Question: 1
The value of $\lim \limits_{x\rightarrow \infty } \dfrac{x \:\text{ln}\left ( x \right )}{1+x^{2}}$ is $0$ $1.0$ $0.5$ $\infty$
The value of $\lim \limits_{x\rightarrow \infty } \dfrac{x \:\text{ln}\left ( x \right )}{1+x^{2}}$ is$0$$1.0$$0.5$$\infty$
go_editor
5.3k
points
go_editor
asked
Mar 1, 2021
Calculus
gatecivil-2021-set2
calculus
limits
+
–
0
votes
0
answers
25
GATE Civil 2013 | Question: 1
There is no value of $x$ that can simultaneously satisfy both the given equations. Therefore, find the ‘least squares error’ solution to the two equations, i.e., find the value of $x$ that minimizes the sum of squares of the errors in the two equations. _____ $2x=3$ $4x=1$
There is no value of $x$ that can simultaneously satisfy both the given equations. Therefore, find the ‘least squares error’ solution to the two equations, i.e., find...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Numerical Methods
gate2013-ce
numerical-answers
numerical-methods
+
–
0
votes
1
answer
26
GATE2020-CE-1-2
The value of $\displaystyle{} \lim_{x\to\infty}\dfrac{x^2-5x+4}{4x^2+2x}$ is $0 \\$ $\dfrac{1}{4} \\$ $\dfrac{1}{2} \\$ $1$
The value of $\displaystyle{} \lim_{x\to\infty}\dfrac{x^2-5x+4}{4x^2+2x}$ is$0 \\$$\dfrac{1}{4} \\$$\dfrac{1}{2} \\$$1$
go_editor
5.3k
points
go_editor
asked
Feb 27, 2020
Calculus
gate2020-ce-1
calculus
limits
+
–
0
votes
0
answers
27
GATE2017 CE-1: 26
For the function $f(x)=a+bx,0\leq x\leq1,$ to be a valid probability density function,which one of the following statements is correct? $a=1,b=4$ $b=0.5,b=1$ $a=0,b=1$ $a=1,b=-1$
For the function $f(x)=a+bx,0\leq x\leq1,$ to be a valid probability density function,which one of the following statements is correct?$a=1,b=4$$b=0.5,b=1$$a=0,b=1$$a=1,b...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2017-ce-1
probability-and-statistics
probability
probability-density-function
+
–
0
votes
0
answers
28
gate question from engineering mathematics in ordinary differential equation
for the differential equation ,d^2y/dx^2+3dy/dx+4y=3cos2x,then value of particular integral is
for the differential equation ,d^2y/dx^2+3dy/dx+4y=3cos2x,then value of particular integral is
saswati mahapatra
240
points
saswati mahapatra
asked
Aug 28, 2023
2
votes
0
answers
29
GATE2019 CE-2: 35
The inverse of the matrix $\begin{bmatrix} 2 & 3 & 4 \\ 4 & 3 & 1 \\ 1 & 2 & 4 \end{bmatrix}$ is $\begin{bmatrix} 10 & -4 & -9 \\ -15 & 4 & 14 \\ 5 & -1 & -6 \end{bmatrix} \\$ ...
The inverse of the matrix $\begin{bmatrix} 2 & 3 & 4 \\ 4 & 3 & 1 \\ 1 & 2 & 4 \end{bmatrix}$ is $\begin{bmatrix} 10 & -4 & -9 \\ -15 & 4 & 14 \\ 5 & -1 & -6 \end{bmatrix...
Arjun
13.0k
points
Arjun
asked
Feb 12, 2019
Linear Algebra
gate2019-ce-2
linear-algebra
matrices
inverse-of-matrix
+
–
0
votes
1
answer
30
GATE2018 CE-2: 26
The matrix $\begin{pmatrix} 2 & -4 \\ 4 & -2 \end{pmatrix}$ has real eigenvalues and eigenvectors real eigenvalues but complex eigenvectors complex eigenvalues but real eigenvectors complex eigenvalues and eigenvectors
The matrix $\begin{pmatrix} 2 & -4 \\ 4 & -2 \end{pmatrix}$ hasreal eigenvalues and eigenvectorsreal eigenvalues but complex eigenvectorscomplex eigenvalues but real eige...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Linear Algebra
gate2018-ce-2
linear-algebra
matrices
eigen-values
eigen-vectors
+
–
0
votes
0
answers
31
GATE Civil 2021 Set 1 | Question: 18
Consider the limit: $\lim_{x\rightarrow 1}\left ( \frac{1}{\text{ln}\:x} - \frac{1}{x-1}\right )$ The limit (correct up to one decimal place) is _____________
Consider the limit:$$\lim_{x\rightarrow 1}\left ( \frac{1}{\text{ln}\:x} - \frac{1}{x-1}\right )$$The limit (correct up to one decimal place) is _____________
Arjun
13.0k
points
Arjun
asked
Feb 19, 2021
Calculus
gatecivil-2021-set1
numerical-answers
calculus
limits
+
–
0
votes
0
answers
32
GATE2016-2-3
The Fourier series of the function, $\begin{array}{rll} f(x) & =0, & -\pi < x \leq 0 \\ {} & =\pi - x, & 0 < x < \pi \end{array}$ in the interval $[- \pi, \pi ]$ ... $\Sigma_{n-1}^{\infty} \dfrac{(-1)^{n+1}}{2n-1} = \dfrac{\pi}{4}$
The Fourier series of the function,$\begin{array}{rll} f(x) & =0, & -\pi < x \leq 0 \\ {} & =\pi – x, & 0 < x < \pi \end{array}$in the interval $[- \pi, \pi ]$ is$f(x) ...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 27, 2018
Partial Differential Equation (PDE)
gate2016-ce-2
partial-differential-equation
fourier-series
+
–
0
votes
0
answers
33
GATE Civil 2013 | Question: 51
For a portion of national highway where a descending gradient of $1$ in $25$ meets with an ascending gradient of $1$ in $20$, a valley curve needs to be designed for a vehicle travelling at $90$ kmph based on the following conditions. headlight sight ... ; and beam angle $1^{\circ}$. What is the length of valley curve (in m) based on the comfort condition? __________
For a portion of national highway where a descending gradient of $1$ in $25$ meets with an ascending gradient of $1$ in $20$, a valley curve needs to be designed for a ve...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Calculus
gate2013-ce
numerical-answers
calculus
gradient
+
–
0
votes
0
answers
34
GATE2014-1-28
A particle moves along a curve whose parametric equations are: $x=t^3+2t$, $y=-3e^{-2t}$ and $z=2 \sin (5t)$, where $x$, $y$ and $z$ show variations of the distance covered by the particle (in cm) with time $t$ (in s). The magnitude of the acceleration of the particle (in $cm/s^2$) at $t=0$ is ________
A particle moves along a curve whose parametric equations are: $x=t^3+2t$, $y=-3e^{-2t}$ and $z=2 \sin (5t)$, where $x$, $y$ and $z$ show variations of the distance cover...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Calculus
gate2014-ce-1
numerical-answers
engineering-mathematics
calculus
parametric-equations
+
–
0
votes
0
answers
35
GATE2018 CE-2: 19
Probability (up to one decimal place) of consecutively picking $3$ red balls without replacement from a box containing $5$ red balls and $1$ white ball is ___________
Probability (up to one decimal place) of consecutively picking $3$ red balls without replacement from a box containing $5$ red balls and $1$ white ball is ___________
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Probability and Statistics
gate2018-ce-2
probability-and-statistics
probability
conditional-probability
numerical-answers
+
–
0
votes
0
answers
36
GATE Civil 2021 Set 2 | Question: 4
If $\text{A}$ is a square matrix then orthogonality property mandates $AA^{T}=I$ $AA^{T}=0$ $AA^{T}=A^{-1}$ $AA^{T}=A^{2}$
If $\text{A}$ is a square matrix then orthogonality property mandates$AA^{T}=I$$AA^{T}=0$$AA^{T}=A^{-1}$$AA^{T}=A^{2}$
go_editor
5.3k
points
go_editor
asked
Mar 1, 2021
Linear Algebra
gatecivil-2021-set2
linear-algebra
matrices
matrix-algebra
+
–
0
votes
0
answers
37
GATE2018 CE-2: 3
A probability distribution with right skew is shown in the figure. The correct statement for the probability distribution is Mean is equal to mode Mean is greater than median but less than mode Mean is greater than median and mode Mode is greater than median
A probability distribution with right skew is shown in the figure.The correct statement for the probability distribution isMean is equal to modeMean is greater than media...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Probability and Statistics
gate2018-ce-2
probability-and-statistics
statistics
probability-distribution
mean-median-mode
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–
0
votes
0
answers
38
GATE Civil 2021 Set 2 | Question: 3
The unit normal vector to the surface $X^{2} + Y^{2} + Z^{2} – 48 = 0$ at the point $(4, 4, 4)$ is $\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}$ $\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}}$ $\frac{2}{\sqrt{2}},\frac{2}{\sqrt{2}},\frac{2}{\sqrt{2}}$ $\frac{1}{\sqrt{5}},\frac{1}{\sqrt{5}},\frac{1}{\sqrt{5}}$
The unit normal vector to the surface $X^{2} + Y^{2} + Z^{2} – 48 = 0$ at the point $(4, 4, 4)$ is $\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}$$\frac{1}{\...
go_editor
5.3k
points
go_editor
asked
Mar 1, 2021
Calculus
gatecivil-2021-set2
calculus
vector-calculus
vector-identities
unit-normal-vector
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–
0
votes
0
answers
39
GATE2014-1-3
The probability density function of evaporation $E$ on any day during a year in a watershed is given by $f(E) = \begin{cases} \dfrac{1}{5} & 0 \leq E \leq 5\: \text{mm/day} \\ 0 & \text{otherwise} \end{cases}$ The probability that $E$ lies in between $2$ and $4$ mm/day in a day in the watershed is (in decimal) ____________
The probability density function of evaporation $E$ on any day during a year in a watershed is given by$f(E) = \begin{cases} \dfrac{1}{5} & 0 \leq E \leq 5\: \text{mm/day...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2014-ce-1
numerical-answers
probability-and-statistics
probability
probability-density-function
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–
0
votes
0
answers
40
GATE Civil 2012 | Question: 27
In an experiment, positive and negative values are equally likely to occur. The probability of obtaining at most one negative value in five trials is $\dfrac{1}{32} \\$ $\dfrac{2}{32} \\$ $\dfrac{3}{32} \\$ $\dfrac{6}{32}$
In an experiment, positive and negative values are equally likely to occur. The probability of obtaining at most one negative value in five trials is$\dfrac{1}{32} \\$$\d...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2012-ce
probability-and-statistics
probability
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