GO Mechanical
Login
Register
Dark Mode
Brightness
Profile
Edit Profile
Messages
My favorites
My Updates
Logout
Filter
Recent
Hot!
Most votes
Most answers
Most views
Previous GATE
Featured
Hot questions in Engineering Mathematics
0
answers
0
votes
GATE2015-1-29
The probability of obtaining at least two “SIX” in throwing a fair dice $4$ times is $425/432$ $19/144$ $13/144$ $125/432$
The probability of obtaining at least two “SIX” in throwing a fair dice $4$ times is$425/432$$19/144$$13/144$$125/432$
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Probability and Statistics
gateme-2015-set1
probability-and-statistics
probability
+
–
0
answers
0
votes
GATE2015-1-3
Simpson’s $\dfrac{1}{3}$ rule is used to integrate the function $f(x)=\dfrac{3}{5}x^2+\dfrac{9}{5}$ between $x = 0$ and $x=1$ using the least number of equal sub-intervals. The value of the integral is ______________
Simpson’s $\dfrac{1}{3}$ rule is used to integrate the function $f(x)=\dfrac{3}{5}x^2+\dfrac{9}{5}$ between $x = 0$ and $x=1$ using the least number of equal sub-interv...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2015-set1
numerical-answers
numerical-methods
+
–
0
answers
0
votes
GATE2016-2-1
The condition for which the eigenvalues of the matrix $A=\begin{bmatrix} 2 & 1\\ 1 & k \end{bmatrix}$ are positive, is $k > 1/2$ $k > −2$ $k > 0$ $k < −1/2$
The condition for which the eigenvalues of the matrix$A=\begin{bmatrix} 2 & 1\\ 1 & k \end{bmatrix}$are positive, is$k 1/2$$k −2$$k 0$$k < −1/2$
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Linear Algebra
gateme-2016-set2
linear-algebra
matrices
eigen-values
+
–
0
answers
0
votes
GATE2015-2-2
At $x$ = $0$, the function $f(x) = \mid x \mid $ has a minimum a maximum a point of inflexion neither a maximum nor minimum
At $x$ = $0$, the function $f(x) = \mid x \mid $ hasa minimuma maximuma point of inflexionneither a maximum nor minimum
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2015-set2
calculus
maxima-minima
+
–
0
answers
0
votes
GATE2016-2-2
The values of $x$ for which the function $f(x)=\dfrac{x^2-3x-4}{x^2+3x-4}$ is NOT continuous are $4$ and $−1$ $4$ and $1$ $-4$ and $1$ $−4$ and $−1$
The values of $x$ for which the function$$f(x)=\dfrac{x^2-3x-4}{x^2+3x-4}$$is NOT continuous are$4$ and $−1$$4$ and $1$$-4$ and $1$$−4$ and $−1$
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set2
calculus
continuity-and-differentiability
+
–
0
answers
0
votes
GATE2016-1-3
$f(z)=u(x,y)+iv(x,y)$ is an analytic function of complex variable $z=x+iy$ where $i=\sqrt{-1}$. If $u(x,y)$=$2xy$ , then $v(x,y)$ may be expressed as $-x^2 + y^2 + $ constant $x^2 – y^2 +$ constant $x^2 + y^2 +$ constant $-(x^2 + y^2) +$ constant
$f(z)=u(x,y)+iv(x,y)$ is an analytic function of complex variable $z=x+iy$ where $i=\sqrt{-1}$. If $u(x,y)$=$2xy$ , then $v(x,y)$ may be expressed as$-x^2 + y^2 + $ const...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set1
calculus
complex-variables
+
–
0
answers
0
votes
GATE2015-1-5
Given two complex numbers $z_1=5+(5\sqrt{3})i$ and $z_2=\dfrac{2}{\sqrt{3}}+2i$ , the argument of $\dfrac{z_1}{z_2}$ in degrees is $0$ $30$ $60$ $90$
Given two complex numbers $z_1=5+(5\sqrt{3})i$ and $z_2=\dfrac{2}{\sqrt{3}}+2i$ , the argument of $\dfrac{z_1}{z_2}$ in degrees is$0$$30$$60$$90$
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2015-set1
calculus
complex-variables
+
–
0
answers
0
votes
GATE2016-1-1
The solution to the system of equations $\begin{bmatrix} 2 & 5\\-4 &3 \end{bmatrix}\begin{bmatrix} x\\y \end{bmatrix}=\begin{bmatrix} 2\\ -30 \end{bmatrix}$ is $6,2$ $-6,2$ $-6,-2$ $6,-2$
The solution to the system of equations$\begin{bmatrix} 2 & 5\\-4 &3 \end{bmatrix}\begin{bmatrix} x\\y \end{bmatrix}=\begin{bmatrix} 2\\ -30 \end{bmatrix}$ is$6,2$$-6,2$$...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Linear Algebra
gateme-2016-set1
linear-algebra
matrices
system-of-equations
+
–
0
answers
0
votes
GATE2015-3-14
If $P(X) = \displaystyle{\frac{1}{4}}$, $P(Y) = \displaystyle{\frac{1}{3}}$, and $P(X \cap Y) = \displaystyle{\frac{1}{12}}$, the value of $P(Y/X)$ is $\displaystyle{\frac{1}{4}} \\$ $\displaystyle{\frac{4}{25}} \\$ $\displaystyle{\frac{1}{3}} \\$ $\displaystyle{\frac{29}{50}}$
If $P(X) = \displaystyle{\frac{1}{4}}$, $P(Y) = \displaystyle{\frac{1}{3}}$, and $P(X \cap Y) = \displaystyle{\frac{1}{12}}$, the value of $P(Y/X)$ is$\displaystyle{\frac...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Probability and Statistics
gateme-2015-set3
probability-and-statistics
probability
conditional-probability
+
–
0
answers
0
votes
GATE2015-1-2
Among the four normal distributions with probability density functions as shown below, which one has the lowest variance? $I$ $II$ $III$ $IV$
Among the four normal distributions with probability density functions as shown below, which one has the lowest variance?$I$$II$$III$$IV$
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Probability and Statistics
gateme-2015-set1
probability-and-statistics
probability
normal-distribution
variance
+
–
0
answers
0
votes
GATE2016-3-5
The root of the function $f(x) = x^3+x-1$ obtained after first iteration on application of Newton-Raphson scheme using an initial guess of $x_0=1$ is $0.682$ $0.686$ $0.750$ $1.000$
The root of the function $f(x) = x^3+x-1$ obtained after first iteration on application of Newton-Raphson scheme using an initial guess of $x_0=1$ is$0.682$$0.686$$0.750$...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2016-set3
numerical-methods
newton-raphson-method
+
–
0
answers
0
votes
GATE2016-2-4
A function of the complex variable $z= x+iy$, is given as $f(x,y) =u(x,y) +iv(x,y)$ , where $u(x,y) = 2kxy$ and $ v(x,y) =x^2 −y^2$. The value of $k$, for which the function is analytic, is _____
A function of the complex variable $z= x+iy$, is given as $f(x,y) =u(x,y) +iv(x,y)$ , where $u(x,y) = 2kxy$ and $ v(x,y) =x^2 −y^2$. The value of $k$, for which the fun...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set2
numerical-answers
calculus
complex-variables
+
–
0
answers
0
votes
GATE2015-1-7
The Blasius equation related to boundary layer theory is a third-order linear partial differential equation third-order nonlinear partial differential equation second-order nonlinear ordinary differential equation third-order nonlinear ordinary differential equation
The Blasius equation related to boundary layer theory is athird-order linear partial differential equationthird-order nonlinear partial differential equationsecond-order ...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Differential Equations
gateme-2015-set1
differential-equations
boundary-value-problems
+
–
0
answers
0
votes
GATE2015-3-24
Let $\phi$ be an arbitrary smooth real valued scalar function and $\overrightarrow{V}$ be an arbitrary smooth vector valued function in a three-dimensional space. Which one of the following is an identity? Curl$(\phi \overrightarrow{V})$ = $\bigtriangledown$($\phi$ ... $\overrightarrow{V}=0$ Div($(\phi \overrightarrow{V})$ ) = $\phi$ Div$\overrightarrow{V}$
Let $\phi$ be an arbitrary smooth real valued scalar function and $\overrightarrow{V}$ be an arbitrary smooth vector valued function in a three-dimensional space. Which o...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2015-set3
vector-identities
calculus
engineering-mathematics
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 4 | Question: 43
Consider the following statements regarding streamline(s): It is a continuous line such that the tangent at any point on it shows the velocity vector at that point There is no flow across streamlines $\dfrac{dx}{u}=\dfrac{dy}{v}=\dfrac{dz}{w}$ is the differential equation of a ... $(ii), (iii), (iv)$ $(i), (iii), (iv)$ $(i), (ii), (iii)$
Consider the following statements regarding streamline(s):It is a continuous line such that the tangent at any point on it shows the velocity vector at that pointThere is...
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Differential Equations
gateme-2014-set4
differential-equations
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 2 | Question: 28
Consider an unbiased cubic dice with opposite faces coloured identically and each face coloured red, blue or green such that each colour appears only two times on the dice. If the dice is thrown thrice, the probability of obtaining red colour on top face of the dice at least twice is _______
Consider an unbiased cubic dice with opposite faces coloured identically and each face coloured red, blue or green such that each colour appears only two times on the dic...
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Probability and Statistics
gateme-2014-set2
numerical-answers
probability-and-statistics
probability
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 50
Jobs arrive at a facility at an average rate of $5$ in an $8$ hour shift. The arrival of the jobs follows Poisson distribution. The average service time of a job on the facility is $40$ minutes. The service time follows exponential distribution. Idle time (in hours) at the ... be $\dfrac{5}{7} \\$ $\dfrac{14}{3} \\$ $\dfrac{7}{5} \\$ $\dfrac{10}{3}$
Jobs arrive at a facility at an average rate of $5$ in an $8$ hour shift. The arrival of the jobs follows Poisson distribution. The average service time of a job on the f...
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Probability and Statistics
gateme-2014-set1
probability-and-statistics
probability
poisson-distribution
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 4 | Question: 28
The number of accidents occurring in a plant in a month follows Poisson distribution with mean as $5.2$. The probability of occurrence of less than $2$ accidents in the plant during a randomly selected month is $0.029$ $0.034$ $0.039$ $0.044$
The number of accidents occurring in a plant in a month follows Poisson distribution with mean as $5.2$. The probability of occurrence of less than $2$ accidents in the p...
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Probability and Statistics
gateme-2014-set4
probability-and-statistics
probability
poisson-distribution
+
–
0
answers
0
votes
GATE ME 2013 | Question: 26
The following surface integral is to be evaluated over a sphere for the given steady velocity vector field $F$ = $xi$ + $yj$+ $zk$ defined with respect to a Cartesian coordinate system having $i$, $j$ and $k$ ... is the outward unit normal vector to the sphere. The value of the surface integral is $\pi$ $2\pi$ $3\pi/4$ $4\pi$
The following surface integral is to be evaluated over a sphere for the given steady velocity vector field $F$ = $xi$ + $yj$+ $zk$ defined with respect to a Cartesian coo...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Calculus
gateme-2013
calculus
integrals
area-under-curve
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 27
Consider two solutions $x(t)=x_1(t)$ and $x(t)=x_2(t)$ of the differential equation $\dfrac{d^2x(t)}{dt^2}+x(t)=0, \: t>0$ such that $x_1(0)=1, \dfrac{dx_1(t)}{dt} \bigg \vert_{t=0}=0$, $x_2(0)=0, \dfrac{dx_2(t)}{dt}\bigg \vert _{t=0}=1$. The ... $t=\pi /2$ is $1$ $-1$ $0$ $\pi /2$
Consider two solutions $x(t)=x_1(t)$ and $x(t)=x_2(t)$ of the differential equation $\dfrac{d^2x(t)}{dt^2}+x(t)=0, \: t>0$ such that $x_1(0)=1, \dfrac{dx_1(t)}{dt} \bigg ...
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Differential Equations
gateme-2014-set3
differential-equations
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 4 | Question: 29
Consider an ordinary differential equation $\dfrac{dx}{dt}=4t+4$. If $x = x_0$ at $t = 0$, the increment in $x$ calculated using Runge-Kutta fourth order multi-step method with a step size of $\Delta t = 0.2$ is $0.22$ $0.44$ $0.66$ $0.88$
Consider an ordinary differential equation $\dfrac{dx}{dt}=4t+4$. If $x = x_0$ at $t = 0$, the increment in $x$ calculated using Runge-Kutta fourth order multi-step metho...
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Numerical Methods
gateme-2014-set4
numerical-methods
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 4 | Question: 44
Consider a velocity field $\overrightarrow{V}=k(y\hat{i}+x\hat{k})$ , where $K$ is a constant. The vorticity, $Ω_Z$ , is $-K$ $K$ $-K/2$ $K/2$
Consider a velocity field $\overrightarrow{V}=k(y\hat{i}+x\hat{k})$ , where $K$ is a constant. The vorticity, $Ω_Z$ , is$-K$$K$$-K/2$$K/2$
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Calculus
gateme-2014-set4
calculus
vector-identities
velocity
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 4
The matrix form of the linear syatem $\dfrac{dx}{dt}=3x-5y$ and $\dfrac{dy}{dt}=4x+8y$ is $\dfrac{d}{dt}\begin{Bmatrix} x\\y \end{Bmatrix}=\begin{bmatrix} 3 & -5\\ 4& 8 \end{bmatrix}\begin{Bmatrix} x\\y \end{Bmatrix} \\$ ...
The matrix form of the linear syatem $\dfrac{dx}{dt}=3x-5y$ and $\dfrac{dy}{dt}=4x+8y$ is$\dfrac{d}{dt}\begin{Bmatrix} x\\y \end{Bmatrix}=\begin{bmatrix} 3 & -5\\ 4& 8 \e...
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Linear Algebra
gateme-2014-set1
linear-algebra
matrices
matrix-algebra
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 18
The jobs arrive at a facility, for service, in a random manner. The probability distribution of number of arrivals of jobs in a fixed time interval is Normal Poisson Erlang Beta
The jobs arrive at a facility, for service, in a random manner. The probability distribution of number of arrivals of jobs in a fixed time interval isNormalPoissonErlangB...
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Probability and Statistics
gateme-2014-set1
probability-and-statistics
probability
poisson-distribution
+
–
0
answers
0
votes
GATE ME 2013 | Question: 27
The function $f(t)$ satisfies the differential equation $\dfrac{d^2f}{dt^2}+f=0$ and the auxiliary conditions, $f(0)=0$, $\dfrac{d(f)}{d(t)}(0)=4$. The Laplace transform of $f(t)$is given by $\dfrac{2}{s+1} \\$ $\dfrac{4}{s+1} \\$ $\dfrac{4}{s^2+1} \\$ $\dfrac{2}{s^4+1}$
The function $f(t)$ satisfies the differential equation $\dfrac{d^2f}{dt^2}+f=0$ and the auxiliary conditions, $f(0)=0$, $\dfrac{d(f)}{d(t)}(0)=4$. The Laplace transform ...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Differential Equations
gateme-2013
differential-equation
laplace-transforms
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 2 | Question: 2
$ \displaystyle{}\lim_{x\rightarrow 0} \left( \dfrac{e^{2x}-1}{\sin(4x)} \right )$ is equal to $0$ $0.5$ $1$ $2$
$ \displaystyle{}\lim_{x\rightarrow 0} \left( \dfrac{e^{2x}-1}{\sin(4x)} \right )$ is equal to$0$$0.5$$1$$2$
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Calculus
gateme-2014-set2
calculus
limits
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 39
Consider an objective function $Z(x_1,x_2)=3x_1+9x_2$ and the constraints $x_1+x_2 \leq 8$ $x_1+2x_2 \leq 4$ $x_1 \geq 0$ , $x_2 \geq 0$ The maximum value of the objective function is _______
Consider an objective function $Z(x_1,x_2)=3x_1+9x_2$ and the constraints$x_1+x_2 \leq 8$$x_1+2x_2 \leq 4$$x_1 \geq 0$ , $x_2 \geq 0$The maximum value of the objective...
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Numerical Methods
gateme-2014-set3
numerical-answers
numerical-methods
linear-programming
+
–
0
answers
0
votes
GATE ME 2013 | Question: 36
A linear programming problem is shown below. $\begin{array}{ll} \text{Maximize} & 3x + 7y \\ \text{Subject to} & 3x + 7y \leq 10 \\ & 4x + 6y \leq 8 \\ & x, y \geq 0 \end{array}$ It has an unbounded objective function. exactly one optimal solution. exactly two optimal solutions. infinitely many optimal solutions.
A linear programming problem is shown below.$\begin{array}{ll} \text{Maximize} & 3x + 7y \\ \text{Subject to} & 3x + 7y \leq 10 \\ & 4x + 6y \leq 8 \\ & x, y \geq 0 \end{...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Numerical Methods
gateme-2013
numerical-methods
linear-programming
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 2 | Question: 4
A box contains $25$ parts of which $10$ are defective. Two parts are being drawn simultaneously in a random manner from the box. The probability of both the parts being good is $\dfrac{7}{20} \\$ $\dfrac{42}{125} \\$ $\dfrac{25}{29} \\$ $\dfrac{5}{9}$
A box contains $25$ parts of which $10$ are defective. Two parts are being drawn simultaneously in a random manner from the box. The probability of both the parts being g...
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Probability and Statistics
gateme-2014-set2
probability-and-statistics
probability
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 1
Consider a $3×3$ real symmetric matrix S such that two of its eigenvalues are $a\neq 0$, $b\neq 0$ with respective eigenvectors $\begin{bmatrix} x_1\\ x_2\\ x_3 \end{bmatrix}$, $\begin{bmatrix} y_1\\ y_2\\ y_3 \end{bmatrix}$ If $a\neq b$ then $x_1y_1+x_2y_2+x_3y_3$ equals $a$ $b$ $ab$ $0$
Consider a $3×3$ real symmetric matrix S such that two of its eigenvalues are $a\neq 0$, $b\neq 0$ with respective eigenvectors $\begin{bmatrix} x_1\\ x_2\\ x_3 \end{bma...
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Linear Algebra
gateme-2014-set3
linear-algebra
matrices
eigen-values
eigen-vectors
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 26
The integral $\oint_{c}^{ } (ydx-xdy)$ is evaluated along the circle $x^2+y^2=\frac{1}{4}$ traversed in counter clockwise direction. The integral is equal to $0$ $\frac{-\pi }{4}$ $\frac{-\pi }{2}$ $\frac{\pi }{4}$
The integral $\oint_{c}^{ } (ydx-xdy)$ is evaluated along the circle $x^2+y^2=\frac{1}{4}$ traversed in counter clockwise direction. The integral is equal to$0$$\frac{-\p...
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Calculus
gateme-2014-set1
calculus
definite-integrals
area-under-curve
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 2 | Question: 5
The best approximation of the minimum value attained by $e^{-x}\sin(100x)$ for $x\geq 0$ is _______
The best approximation of the minimum value attained by $e^{-x}\sin(100x)$ for $x\geq 0$ is _______
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Numerical Methods
gateme-2014-set2
numerical-answers
numerical-methods
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 1
Given that the determinant of the matrix $\begin{bmatrix} 1 & 3 & 0\\ 2 & 6 & 4\\ -1 & 0 & 2 \end{bmatrix}$ is $-12$, the determinant of the matrix $\begin{bmatrix} 2 & 6 & 0\\ 4 & 12 & 18\\ -2 & 0 & 4 \end{bmatrix}$ is $-96$ $-24$ $24$ $96$
Given that the determinant of the matrix $\begin{bmatrix} 1 & 3 & 0\\ 2 & 6 & 4\\ -1 & 0 & 2 \end{bmatrix}$ is $-12$, the determinant of the matrix $\begin{bmatrix} 2 & 6...
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Linear Algebra
gateme-2014-set1
linear-algebra
matrices
determinant
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 29
Using the trapezoidal rule, and dividing the interval of integration into three equal subintervals, the definite integral $\int_{-1}^{+1} \mid x \mid dx$ is _____
Using the trapezoidal rule, and dividing the interval of integration into three equal subintervals, the definite integral $\int_{-1}^{+1} \mid x \mid dx$ is _____
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Numerical Methods
gateme-2014-set1
numerical-answers
numerical-methods
+
–
0
answers
0
votes
GATE ME 2013 | Question: 3
Match the CORRECT pairs: ... $P-2; Q-1; R-3$ $P-3; Q-2; R-1$ $P-1; Q-2; R-3$ $P-3; Q-1; R-2$
Match the CORRECT pairs:$\begin{array}{llll} & \text{Numerical Integration Scheme} & & \text{Order of Fitting Polynomial} \\ P. & \text{Simpson's 3/8 Rule} & 1. & \text{F...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Numerical Methods
gateme-2013
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 27
If $y = f(x)$ is the solution of $\dfrac{d^2y}{dx^2}=0$ with the boundary conditions y = $5$ at $x = 0$ and $\dfrac{dy}{dx}=2$ at $x = 10$, $f(15) =$ _____________ .
If $y = f(x)$ is the solution of $\dfrac{d^2y}{dx^2}=0$ with the boundary conditions y = $5$ at $x = 0$ and $\dfrac{dy}{dx}=2$ at $x = 10$, $f(15) =$ _____________ .
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Calculus
gateme-2014-set1
numerical-answers
calculus
initial-and-boundary-value-problems
+
–
0
answers
0
votes
GATE ME 2013 | Question: 45
The probability that a student knows the correct answer to a multiple choice question is $\dfrac{2}{3}$ . If the student does not know the answer, then the student guesses the answer. The probability of the guessed answer being correct is $\dfrac{1}{4}$. Given that the student has ... answer is $\dfrac{2}{3} \\$ $\dfrac{3}{4} \\$ $\dfrac{5}{6} \\$ $\dfrac{8}{9}$
The probability that a student knows the correct answer to a multiple choice question is $\dfrac{2}{3}$ . If the student does not know the answer, then the student guesse...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Probability and Statistics
gateme-2013
probability-and-statistics
probability
conditional-probability
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 4 | Question: 27
The value of the integral $\int_{0}^{2}\int_{0}^{x}e^{x+y}dydx$ is $\dfrac{1}{2}(e-1) \\$ $\dfrac{1}{2}(e^2-1)^2 \\$ $\dfrac{1}{2}(e^2-e) \\$ $\dfrac{1}{2}(e-\frac{1}{e})^2$
The value of the integral $\int_{0}^{2}\int_{0}^{x}e^{x+y}dydx$ is$\dfrac{1}{2}(e-1) \\$$\dfrac{1}{2}(e^2-1)^2 \\$$\dfrac{1}{2}(e^2-e) \\$$\dfrac{1}{2}(e-\frac{1}{e})^2$
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Calculus
gateme-2014-set4
calculus
definite-integrals
+
–
0
answers
0
votes
GATE ME 2013 | Question: 24
Let $X$ be a normal random variable with mean $1$ and variance $4$. The probability $P \left \{ X \right.<\left. 0 \right \}$ is $0.5$ greater than zero and less than $0.5$ greater than $0.5$ and less than $1.0$ $1.0$
Let $X$ be a normal random variable with mean $1$ and variance $4$. The probability $P \left \{ X \right.<\left. 0 \right \}$ is$0.5$greater than zero and less than $0.5...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Probability and Statistics
gateme-2013
probability-and-statistics
probability
random-variables
variance
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 2 | Question: 1
One of the eigen vectors of the matrix $\begin{bmatrix} -5 & 2\\ -9 & 6 \end{bmatrix}$ is $\begin{Bmatrix} -1\\ 1 \end{Bmatrix} \\$ $\begin{Bmatrix} -2\\ 9 \end{Bmatrix} \\$ $\begin{Bmatrix} 2\\ -1 \end{Bmatrix} \\$ $\begin{Bmatrix} 1\\ 1 \end{Bmatrix} \\$
One of the eigen vectors of the matrix $\begin{bmatrix} -5 & 2\\ -9 & 6 \end{bmatrix}$ is$\begin{Bmatrix} -1\\ 1 \end{Bmatrix} \\$$\begin{Bmatrix} -2\\ 9 \end{Bmatrix} \\...
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Linear Algebra
gateme-2014-set2
linear-algebra
eigen-values
eigen-vectors
+
–
Page:
« prev
1
2
3
4
5
6
next »
GO Mechanical
Email or Username
Show
Hide
Password
I forgot my password
Remember
Log in
Register