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Recent questions in Engineering Mathematics
0
votes
0
answers
81
GATE2016-1-28
The area of the region bounded by the parabola $y=x^2+1$ and the straight line $x+y=3$ is $\dfrac{59}{6} \\$ $\dfrac{9}{2} \\$ $\dfrac{10}{3} \\$ $\dfrac{7}{6}$
The area of the region bounded by the parabola $y=x^2+1$ and the straight line $x+y=3$ is$\dfrac{59}{6} \\$$\dfrac{9}{2} \\$$\dfrac{10}{3} \\$$\dfrac{7}{6}$
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 27, 2018
Calculus
gate2016-ce-1
calculus
definite-integral
area-under-curve
+
–
0
votes
0
answers
82
GATE2016-1-29
The magnitudes of vectors $\textbf{P, Q}$ and $\textbf{R}$ are $100$ kN, $250$ kN and $150$ kN, respectively as shown in the figure. The respective values of the magnitude (in kN) and the direction (with respect to the x-axis) of the resultant vector are $290.9$ and $96.0^{\circ}$ $368.1$ and $94.7^{\circ}$ $330.4$ and $118.9^{\circ}$ $400.1$ and $113.5^{\circ}$
The magnitudes of vectors $\textbf{P, Q}$ and $\textbf{R}$ are $100$ kN, $250$ kN and $150$ kN, respectively as shown in the figure.The respective values of the magnitude...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 27, 2018
Calculus
gate2016-ce-1
calculus
vector-identities
+
–
0
votes
0
answers
83
GATE2016-1-30
The respective expressions for complementary function and particular integral part of the solution of the differential equation $\dfrac{d^4y}{dx^4}+3 \dfrac{d^2y}{dx^2} = 108x^2$ are $\lfloor c_1+c_2x+c_3 \sin \sqrt{3}x+c_4 \cos \sqrt{3} x \rfloor$ ... $\lfloor c_1+c_2x+c_3 \sin \sqrt{3}x+c_4 \cos \sqrt{3} x \rfloor$ and $\lfloor 5x^4 - 12x^2 +c \rfloor$
The respective expressions for complementary function and particular integral part of the solution of the differential equation $\dfrac{d^4y}{dx^4}+3 \dfrac{d^2y}{dx^2} =...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 27, 2018
Ordinary Differential Equation (ODE)
gate2016-ce-1
ordinary-differential-equation
+
–
0
votes
0
answers
84
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$$QP=I$ but $PQ \neq...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Linear Algebra
gate2017-ce-1
linear-algebra
matrices
inverse-of-matrix
+
–
0
votes
0
answers
85
GATE2017 CE-1: 2
The number of parameters in the univariate exponential and Gaussian distributions, repsectively, are $2$ and $2$ $1$ and $2$ $2$ and $1$ $1$ and $1$
The number of parameters in the univariate exponential and Gaussian distributions, repsectively, are$2$ and $2$$1$ and $2$$2$ and $1$$1$ and $1$
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2017-ce-1
probability-and-statistics
probability
gaussian-distributions
+
–
0
votes
0
answers
86
GATE2017 CE-1: 3
Let $x$ be a continuous variable defined over the interval $(- \infty, \infty)$, and $f(x) = e^{-x-e^{-x}}$. The integral $g(x)= \int f(x) \: dx$ is equal to $e^{e^{-x}}$ $e^{-e^{-x}}$ $e^{-e^{x}}$ $e^{-x}$
Let $x$ be a continuous variable defined over the interval $(- \infty, \infty)$, and $f(x) = e^{-x-e^{-x}}$. The integral $g(x)= \int f(x) \: dx$ is equal to$e^{e^{-x}}$$...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2017-ce-1
calculus
integrals
continuous-variable
+
–
0
votes
0
answers
87
GATE2017 CE-1: 20
Consider the following partial differential equation: $3 \frac{\partial ^2 \phi}{ \partial x^2} + B \frac{ \partial ^2 \phi}{\partial x \partial y} + 3 \frac{\partial ^2 \phi}{\partial y^2} + 4 \phi =0$ For this equation to be classified as parabolic, the value of $B^2$ must be ________
Consider the following partial differential equation:$$3 \frac{\partial ^2 \phi}{ \partial x^2} + B \frac{ \partial ^2 \phi}{\partial x \partial y} + 3 \frac{\partial ^2 ...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Partial Differential Equation (PDE)
gate2017-ce-1
numerical-answers
partial-differential-equation
+
–
0
votes
0
answers
88
GATE2017 CE-1: 21
$\underset{x \to 0}{\lim} \bigg( \dfrac{\tan x}{x^2-x} \bigg)$ is equal to _________
$\underset{x \to 0}{\lim} \bigg( \dfrac{\tan x}{x^2-x} \bigg)$ is equal to _________
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2017-ce-1
numerical-answers
calculus
limits
+
–
0
votes
0
answers
89
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$$a=1,b...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2017-ce-1
probability-and-statistics
probability
probability-density-function
+
–
0
votes
0
answers
90
GATE2017 CE-1: 27
The solution of the equation $\dfrac{dQ}{dt} +Q =1$ with $Q=0$ at $t=0$ is $Q(t)=e^{-t}-1$ $Q(t)=1+ e^{-t}$ $Q(t)=1 -e^t$ $Q(t)=1- e^{-t}$
The solution of the equation $\dfrac{dQ}{dt} +Q =1$ with $Q=0$ at $t=0$ is$Q(t)=e^{-t}-1$$Q(t)=1+ e^{-t}$$Q(t)=1 -e^t$$Q(t)=1- e^{-t}$
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Ordinary Differential Equation (ODE)
gate2017-ce-1
ordinary-differential-equation
+
–
0
votes
0
answers
91
GATE2017 CE-1: 28
Consider the matrix $\begin{bmatrix} 5 & -1 \\ 4 & 1 \end{bmatrix}$. Which one of the following statements is TRUE for the eigenvalues and eigenvectors of this matrix? Eigenvalue $3$ has a multiplicity of $2$, and only one independent ... has a multiplicity of $2$, and no independent eigenvector exists. Eigenvalues are $3$ and $-3$, and two independent eigenvectors exist.
Consider the matrix $\begin{bmatrix} 5 & -1 \\ 4 & 1 \end{bmatrix}$. Which one of the following statements is TRUE for the eigenvalues and eigenvectors of this matrix?Eig...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Linear Algebra
gate2017-ce-1
linear-algebra
matrices
eigen-values
eigen-vectors
+
–
0
votes
0
answers
92
GATE2017 CE-1: 37
Consider the equation $\dfrac{du}{dt}=3t^2+1$ with $u=0$ at $t=0$. This is numerically solved by using the forward Euler method with a step size, $\Delta t=2$. The absolute error in the solution at the end of the first time step is _______.
Consider the equation $\dfrac{du}{dt}=3t^2+1$ with $u=0$ at $t=0$. This is numerically solved by using the forward Euler method with a step size, $\Delta t=2$. The absolu...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Ordinary Differential Equation (ODE)
gate2017-ce-1
numerical-answers
ordinary-differential-equation
euler-equations
+
–
0
votes
0
answers
93
GATE2015-2-1
While minimizing the function $f(x)$, necessary and sufficient conditions for a point, $x_0$ to be a minima are: $f’(x_0) > 0$ and $f’’(x_0)=0$ $f’(x_0) < 0$ and $f’’(x_0)=0$ $f’(x_0) = 0$ and $f’’(x_0)<0$ $f’(x_0) = 0$ and $f’’(x_0)>0$
While minimizing the function $f(x)$, necessary and sufficient conditions for a point, $x_0$ to be a minima are:$f’(x_0) 0$ and $f’’(x_0)=0$$f’(x_0) < 0$ and $f�...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2015-ce-2
calculus
maxima-minima
+
–
0
votes
0
answers
94
GATE2015-2-2
In newton-Raphson iterative method, the initial guess value $(x_{\text{ini}})$ is considered as zero while finding the roots of the equation: $f(x) = -2+6x-4x^2+0.5x^3$. The correction, $\Delta x$, to be added to $x_{\text{ini}}$ in the first iteration is _________
In newton-Raphson iterative method, the initial guess value $(x_{\text{ini}})$ is considered as zero while finding the roots of the equation: $f(x) = -2+6x-4x^2+0.5x^3$. ...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Numerical Methods
gate2015-ce-2
numerical-answers
numerical-methods
newton-raphson-method
+
–
0
votes
0
answers
95
GATE2015-2-3
Given, $i=\sqrt{-1}$, the value of the definite integral, $I= \int_0^{\pi/2} \dfrac{\cos x+ i \sin x}{\cos x – i \sin x} dx$ is: $1$ $-1$ $i$ $-i$
Given, $i=\sqrt{-1}$, the value of the definite integral, $I= \int_0^{\pi/2} \dfrac{\cos x+ i \sin x}{\cos x – i \sin x} dx$ is:$1$$-1$$i$$-i$
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2015-ce-2
calculus
definite-integral
+
–
0
votes
0
answers
96
GATE2015-2-4
$\underset{x \to \infty}{\lim} \bigg( 1+ \dfrac{1}{x} \bigg)^{2x} $ is equal to $e^{-2}$ $e$ $1$ $e^2$
$\underset{x \to \infty}{\lim} \bigg( 1+ \dfrac{1}{x} \bigg)^{2x} $ is equal to$e^{-2}$$e$$1$$e^2$
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2015-ce-2
calculus
limits
+
–
0
votes
0
answers
97
GATE2015-2-5
Let $A=[a_{ij}], \: 1 \leq i, j \leq n$ with $n \geq 3$ and $a_{ij}=i \cdot j$. The rank of $A$ is: $0$ $1$ $n-1$ $n$
Let $A=[a_{ij}], \: 1 \leq i, j \leq n$ with $n \geq 3$ and $a_{ij}=i \cdot j$. The rank of $A$ is:$0$$1$$n-1$$n$
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Linear Algebra
gate2015-ce-2
linear-algebra
matrices
rank-of-matrix
+
–
0
votes
0
answers
98
GATE2015-2-26
The probability density function of a random variable, $x$ is $f(x)= \begin{cases} \dfrac{x}{4} ( 4-x^2) & \text{ for } 0 \leq x \leq 2 \\ 0 & \text{ otherwise} \end{cases}$ The mean $\mu _x$ of the random variable is ______.
The probability density function of a random variable, $x$ is$f(x)= \begin{cases} \dfrac{x}{4} ( 4-x^2) & \text{ for } 0 \leq x \leq 2 \\ 0 & \text{ otherwise} \end{ca...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2015-ce-2
numerical-answers
probability-and-statistics
probability
probability-density-function
+
–
0
votes
0
answers
99
GATE2015-2-27
Consider the following second order linear differential equation $\dfrac{d^2y}{dx^2} = -12x^2 +24 x – 20$ The boundary conditions are: at $x=0, \: y=5$ and at $x=2, \: y=21$. The value of $y$ at $x=1$ is _________.
Consider the following second order linear differential equation$$\dfrac{d^2y}{dx^2} = -12x^2 +24 x – 20$$The boundary conditions are: at $x=0, \: y=5$ and at $x=2, \: ...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Ordinary Differential Equation (ODE)
gate2015-ce-2
numerical-answers
ordinary-differential-equation
+
–
0
votes
0
answers
100
GATE2015-2-28
The two Eigen values of the matrix $\begin{bmatrix} 2 & 1 \\ 1 & p \end{bmatrix}$ have a ratio of $3:1$ for $p=2$. What is another value of $p$ for which the Eigen values have the same ratio of $3:1$? $-2$ $1$ $7/3$ $14/3$
The two Eigen values of the matrix $\begin{bmatrix} 2 & 1 \\ 1 & p \end{bmatrix}$ have a ratio of $3:1$ for $p=2$. What is another value of $p$ for which the Eigen values...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Linear Algebra
gate2015-ce-2
linear-algebra
matrices
eigen-values
+
–
0
votes
0
answers
101
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 _______.$$\int_0^{0.8} (0.2 + 25 x – 200 x^2 + 675 x^3 – 900 x^4 +400 ...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Numerical Methods
gate2015-ce-2
numerical-answers
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
+
–
0
votes
0
answers
102
GATE2015-1-1
For what value of $p$ the following set of equations will have no solution? $2x+3y=5$ $3x+py=10$
For what value of $p$ the following set of equations will have no solution?$2x+3y=5$$3x+py=10$
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Linear Algebra
gate2015-ce-1
numerical-answers
linear-algebra
system-of-equations
+
–
0
votes
0
answers
103
GATE2015-1-2
The integral $\int_{x_{1}}^{x_{2}}x^{2}\:dx$ with $x_{2}>x_{1}>0$ is evaluated analytically as well as numerically using a single application of the trapezoidal rule. If $I$ is the exact value of the integral obtained analytically and ... , which of the following statement is correct about their relationship? $J>I$ $J<I$ $J=I$ Insufficient data to determine the relationship
The integral $\int_{x_{1}}^{x_{2}}x^{2}\:dx$ with $x_{2}>x_{1}>0$ is evaluated analytically as well as numerically using a single application of the trapezoidal rule. If ...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Numerical Methods
gate2015-ce-1
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
+
–
0
votes
0
answers
104
GATE2015-1-3
Consider the following probability mass function (p.m.f) of a random variable $X:$ $p(x,q) = \begin{cases} q & \text{ if } X=0 \\ 1 – q & \text{ if } X=1 \\ 0 & \text{otherwise} \end{cases} $ If $q=0.4$, the variance of $X$ is _________
Consider the following probability mass function (p.m.f) of a random variable $X:$$$p(x,q) = \begin{cases} q & \text{ if } X=0 \\ 1 – q & \text{ if } X=1 \\ 0 & \text{o...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2015-ce-1
numerical-answers
probability-and-statistics
probability
probability-mass-function
random-variable
+
–
0
votes
0
answers
105
GATE2015-1-26
The smallest and largest Eigen values of the following matrix are: $\begin{bmatrix} 3 & -2 & 2 \\ 4 & -4 & 6 \\ 2 & -3 & 5 \end{bmatrix}$ $1.5$ and $2.5$ $0.5$ and $2.5$ $1.0$ and $3.0$ $1.0$ and $2.0$
The smallest and largest Eigen values of the following matrix are:$\begin{bmatrix} 3 & -2 & 2 \\ 4 & -4 & 6 \\ 2 & -3 & 5 \end{bmatrix}$$1.5$ and $2.5$$0.5$ and $2.5$$1.0...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Linear Algebra
gate2015-ce-1
linear-algebra
matrices
eigen-values
+
–
0
votes
0
answers
106
GATE2015-1-27
The quadratic equation $x^2 – 4x +4 =0$ is to be solved numerically, starting with the initial guess $x_0=3$. The Newton-Raphson method is applied once to get a new estimate and then the Secant method is applied once using the initial guess and this new estimate. The estimated value of the root after the application of the Secant method is _________.
The quadratic equation $x^2 – 4x +4 =0$ is to be solved numerically, starting with the initial guess $x_0=3$. The Newton-Raphson method is applied once to get a new est...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Numerical Methods
gate2015-ce-1
numerical-answers
numerical-methods
newton-raphson-method
+
–
0
votes
0
answers
107
GATE2015-1-28
Consider the following differential equation: $x(y\:dx +x\:dy) \cos \dfrac{y}{x}=y(x\:dy-y\:dx) \sin \dfrac{y}{x}$ Which of the following is the solution of the above equation ($c$ is an arbitrary constant)? $\dfrac{x}{y} \cos \dfrac{y}{x} = c \\$ $\dfrac{x}{y} \sin \dfrac{y}{x} = c \\$ $xy \cos \dfrac{y}{x} = c \\$ $xy \sin \dfrac{y}{x} = c$
Consider the following differential equation:$$x(y\:dx +x\:dy) \cos \dfrac{y}{x}=y(x\:dy-y\:dx) \sin \dfrac{y}{x}$$Which of the following is the solution of the above equ...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Ordinary Differential Equation (ODE)
gate2015-ce-1
ordinary-differential-equation
+
–
0
votes
0
answers
108
GATE2015-1-29
Consider the following complex function: $f(z) = \frac{9}{(z-1)(z+2)^2}$ Which of the following is one of the residues of the above function? $-1$ $9/16$ $2$ $9$
Consider the following complex function:$$f(z) = \frac{9}{(z-1)(z+2)^2}$$Which of the following is one of the residues of the above function?$-1$$9/16$$2$$9$
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2015-ce-1
calculus
complex-function
+
–
0
votes
0
answers
109
GATE2015-1-30
The directional derivative of the field $u(x,y,z) = x^2-3yz$ in the direction of the vector $(\hat{i}+\hat{j}-2 \hat{k})$ at point $(2, -1, 4)$ is _________.
The directional derivative of the field $u(x,y,z) = x^2-3yz$ in the direction of the vector $(\hat{i}+\hat{j}-2 \hat{k})$ at point $(2, -1, 4)$ is _________.
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2015-ce-1
numerical-answers
calculus
vector-identities
directional-derivatives
+
–
0
votes
0
answers
110
GATE2014-2-26
The expression $\displaystyle{} \lim_{a \to 0} \dfrac{x^a-1}{a}$ is equal to $\log x$ $0$ $x \log x$ $\infty$
The expression $\displaystyle{} \lim_{a \to 0} \dfrac{x^a-1}{a}$ is equal to$\log x$$0$$x \log x$$\infty$
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Calculus
gate2014-ce-2
calculus
limits
+
–
0
votes
0
answers
111
GATE2014-2-28
The rank of the matrix $\begin{bmatrix} 6 & 0 & 4 & 4 \\ -2 & 14 & 8 & 18 \\ 14 & -14 & 0 & -10 \end{bmatrix}$ is _________
The rank of the matrix $\begin{bmatrix} 6 & 0 & 4 & 4 \\ -2 & 14 & 8 & 18 \\ 14 & -14 & 0 & -10 \end{bmatrix}$ is _________
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Linear Algebra
gate2014-ce-2
numerical-answers
linear-algebra
matrices
rank-of-matrix
+
–
0
votes
0
answers
112
GATE2014-2-4
The integrating factor for the differential equation $\dfrac{dP}{dt}+k_2P=k_1L_0e^{-k_1t}$ is $e^{-k_1t} \\$ $e^{-k_2t} \\$ $e^{k_1t} \\$ $e^{k_2t}$
The integrating factor for the differential equation $\dfrac{dP}{dt}+k_2P=k_1L_0e^{-k_1t}$ is$e^{-k_1t} \\$$e^{-k_2t} \\$$e^{k_1t} \\$$e^{k_2t}$
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Ordinary Differential Equation (ODE)
gate2014-ce-2
ordinary-differential-equation
+
–
0
votes
0
answers
113
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
0
answers
114
GATE2014-2-1
A fair (unbiased) coin was tossed four times in succession and resulted in the following outcomes: (i) Head, (ii) Head, (iii) Head, (iv) Head. The probability of obtaining a ‘Tail’ when the coin is tossed again is $0$ $\dfrac{1}{2} \\$ $\dfrac{4}{5} \\$ $\dfrac{1}{5}$
A fair (unbiased) coin was tossed four times in succession and resulted in the following outcomes: (i) Head, (ii) Head, (iii) Head, (iv) Head. The probability of obtainin...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2014-ce-2
probability-and-statistics
probability
conditional-probability
+
–
0
votes
1
answer
115
GATE2014-2-2
The determinant of matrix $\begin{bmatrix} 0 & 1 & 2 & 3 \\ 1 & 0 & 3 & 0 \\ 2 & 3 & 0 & 1 \\ 3 & 0 & 1 & 2 \end{bmatrix}$ is ________
The determinant of matrix $\begin{bmatrix} 0 & 1 & 2 & 3 \\ 1 & 0 & 3 & 0 \\ 2 & 3 & 0 & 1 \\ 3 & 0 & 1 & 2 \end{bmatrix}$ is ________
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Linear Algebra
gate2014-ce-2
numerical-answers
linear-algebra
matrices
determinant
+
–
0
votes
0
answers
116
GATE2014-2-3
$z=\dfrac{2-3i}{-5+i}$ can be expressed as $-0.5-0.5i$ $-0.5+0.5i$ $0.5-0.5i$ $0.5+0.5i$
$z=\dfrac{2-3i}{-5+i}$ can be expressed as$-0.5-0.5i$$-0.5+0.5i$$0.5-0.5i$$0.5+0.5i$
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Calculus
gate2014-ce-2
calculus
complex-number
+
–
0
votes
0
answers
117
GATE2014-1-28
A particle moves along a curve whose parametric equations are: $x=t^3+2t$, $y=-3e^{-2t}$ and $z=2 \sin (5t)$, where $x$, $y$ and $z$ show variations of the distance covered by the particle (in cm) with time $t$ (in s). The magnitude of the acceleration of the particle (in $cm/s^2$) at $t=0$ is ________
A particle moves along a curve whose parametric equations are: $x=t^3+2t$, $y=-3e^{-2t}$ and $z=2 \sin (5t)$, where $x$, $y$ and $z$ show variations of the distance cover...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Calculus
gate2014-ce-1
numerical-answers
engineering-mathematics
calculus
parametric-equations
+
–
0
votes
0
answers
118
GATE2014-1-1
$\underset{x \to \infty}{\lim} \bigg( \dfrac{x+\sin x}{x} \bigg)$ equals to $- \infty$ $0$ $1$ $\infty$
$\underset{x \to \infty}{\lim} \bigg( \dfrac{x+\sin x}{x} \bigg)$ equals to$- \infty$$0$$1$$\infty$
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Calculus
gate2014-ce-1
calculus
limits
+
–
0
votes
0
answers
119
GATE2014-1-2
Given the matrices $J=\begin{bmatrix} 3 & 2 & 1 \\ 2 & 4 & 2 \\ 1 & 2 & 6 \end{bmatrix}$ and $K = \begin{bmatrix} 1 \\ 2 \\ -1 \end{bmatrix}$, the product of $K^TJK$ is _______
Given the matrices $J=\begin{bmatrix} 3 & 2 & 1 \\ 2 & 4 & 2 \\ 1 & 2 & 6 \end{bmatrix}$ and $K = \begin{bmatrix} 1 \\ 2 \\ -1 \end{bmatrix}$, the product of $K^TJK$ is _...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Linear Algebra
gate2014-ce-1
numerical-answers
linear-algebra
matrices
+
–
0
votes
0
answers
120
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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