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Hot questions in Engineering Mathematics
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GATE2016-3-28
$\displaystyle{}\lim_{x\rightarrow \infty }\sqrt{x^2+x-1}-x$ is $0$ $\infty$ $1/2$ $-\infty$
$\displaystyle{}\lim_{x\rightarrow \infty }\sqrt{x^2+x-1}-x$ is$0$$\infty$$1/2$$-\infty$
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set3
calculus
limits
+
–
0
answers
0
votes
GATE2015-1-1
If any two columns of a determinant $P=\begin{bmatrix} 4 & 7 & 8\\ 3 & 1 & 5\\ 9 & 6 & 2 \end{bmatrix}$ are interchanged, which one of the following statements regarding the value of the determinant is CORRECT? ... . Both absolute value and sign will change. Absolute value will change but sign will not change. Both absolute value and sign will remain unchanged.
If any two columns of a determinant $P=\begin{bmatrix} 4 & 7 & 8\\ 3 & 1 & 5\\ 9 & 6 & 2 \end{bmatrix}$ are interchanged, which one of the following statements regarding ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Linear Algebra
gateme-2015-set1
linear-algebra
matrices
+
–
0
answers
0
votes
GATE2016-3-29
Three cards were drawn from a pack of $52$ cards. The probability that they are a king, a queen, and a jack is $\dfrac{16}{5525} \\$ $\dfrac{64}{2197} \\$ $\dfrac{3}{13} \\$ $\dfrac{8}{16575}$
Three cards were drawn from a pack of $52$ cards. The probability that they are a king, a queen, and a jack is$\dfrac{16}{5525} \\$$\dfrac{64}{2197} \\$$\dfrac{3}{13} \\$...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Probability and Statistics
gateme-2016-set3
probability-and-statistics
probability
+
–
0
answers
0
votes
GATE2015-1-4
The value of $\displaystyle{} \lim_{x\rightarrow 0}\dfrac{1- \cos(x^2)}{2x^4}$ is $0 \\$ $\dfrac{1}{2} \\$ $\dfrac{1}{4} \\$ undefined
The value of $\displaystyle{} \lim_{x\rightarrow 0}\dfrac{1- \cos(x^2)}{2x^4}$ is$0 \\$$\dfrac{1}{2} \\$$\dfrac{1}{4} \\$undefined
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2015-set1
calculus
limits
+
–
0
answers
0
votes
GATE2016-3-4
The area (in percentage) under standard normal distribution curve of random variable Z within limits from −$3$ to +$3$ is __________
The area (in percentage) under standard normal distribution curve of random variable Z within limits from −$3$ to +$3$ is __________
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Probability and Statistics
gateme-2016-set3
numerical-answers
probability-and-statistics
probability
normal-distribution
+
–
0
answers
0
votes
GATE2016-1-29
Gauss-Seidel method is used to solve the following equations (as per the given order): $x_1+2x_2+3x_3=5$ $2x_1+3x_2+x_3=1$ $3x_1+2x_2+x_3=3$ Assuming initial guess as $x_1=x_2=x_3=0$ , the value of $x_3$ after the first iteration is __________
Gauss-Seidel method is used to solve the following equations (as per the given order):$x_1+2x_2+3x_3=5$$2x_1+3x_2+x_3=1$$3x_1+2x_2+x_3=3$Assuming initial guess as $x_1=x_...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2016-set1
numerical-answers
numerical-methods
gauss-seidel-method
+
–
0
answers
0
votes
GATE2015-1-27
Consider an ant crawling along the curve $(x-2)^2+y^2=4$ , where $x$ and $y$ are in meters. The ant starts at the point $(4, 0)$ and moves counter-clockwise with a speed of $1.57$ meters per second. The time taken by the ant to reach the point $(2, 2)$ is (in seconds) ____________
Consider an ant crawling along the curve $(x-2)^2+y^2=4$ , where $x$ and $y$ are in meters. The ant starts at the point $(4, 0)$ and moves counter-clockwise with a speed ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2015-set1
numerical-answers
calculus
curves
+
–
0
answers
0
votes
GATE2016-2-28
The probability that a screw manufactured by a company is defective is $0.1$. The company sells screws in packets containing $5$ screws and gives a guarantee of replacement if one or more screws in the packet are found to be defective. The probability that a packet would have to be replaced is _________
The probability that a screw manufactured by a company is defective is $0.1$. The company sells screws in packets containing $5$ screws and gives a guarantee of replaceme...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Probability and Statistics
gateme-2016-set2
numerical-answers
probability-and-statistics
probability
+
–
0
answers
0
votes
GATE2016-3-2
$\displaystyle{}\lim_{x\rightarrow 0}\dfrac{\log_e(1+4x)}{e^{3x}-1}$ is equal to $0 \\$ $\dfrac{1}{12} \\$ $\dfrac{4}{3} \\$ $1$
$\displaystyle{}\lim_{x\rightarrow 0}\dfrac{\log_e(1+4x)}{e^{3x}-1}$ is equal to$0 \\$$\dfrac{1}{12} \\$$\dfrac{4}{3} \\$$1$
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set3
calculus
limits
+
–
0
answers
0
votes
GATE2016-2-29
The error in numerically computing the integral $\int_{0}^{\pi }(\sin x+\cos x)dx$ using the trapezoidal rule with three intervals of equal length between $0$ and $\pi$ is ___________
The error in numerically computing the integral $\int_{0}^{\pi }(\sin x+\cos x)dx$ using the trapezoidal rule with three intervals of equal length between $0$ and $\pi$ i...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2016-set2
numerical-answers
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
+
–
0
answers
0
votes
GATE2015-3-44
Laplace transform of the function $f(t)$ is given by $F(s)=L\begin{bmatrix} f(t) \end{bmatrix}=\int_{0}^{\infty }f(t)e^{-st}dt$ . Laplace transform of the function shown below is given by $\displaystyle{\frac{1-e^{-2s}}{s}} \\$ $\displaystyle{\frac{1-e^{-s}}{2s}} \\$ $\displaystyle{\frac{2-2e^{-s}}{s}} \\$ $\displaystyle{\frac{1-2e^{-s}}{s}}$
Laplace transform of the function $f(t)$ is given by $F(s)=L\begin{bmatrix} f(t) \end{bmatrix}=\int_{0}^{\infty }f(t)e^{-st}dt$ . Laplace transform of the function shown ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Differential Equations
gateme-2015-set3
differential-equations
laplace-transforms
+
–
0
answers
0
votes
GATE2015-2-4
The Laplace transform of $e^{i5t}$ where $i=\sqrt{-1}$, is $\dfrac{s-5i}{s^2-25} \\$ $\dfrac{s+5i}{s^2+25} \\$ $\dfrac{s+5i}{s^2-25} \\$ $\dfrac{s-5i}{s^2+25} $
The Laplace transform of $e^{i5t}$ where $i=\sqrt{-1}$, is$\dfrac{s-5i}{s^2-25} \\$$\dfrac{s+5i}{s^2+25} \\$$\dfrac{s+5i}{s^2-25} \\$$\dfrac{s-5i}{s^2+25} $
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Differential Equations
gateme-2015-set2
laplace-transforms
differential-equations
+
–
0
answers
0
votes
GATE2016-3-27
The value of the line integral $\oint_{c}^{ }\overline{F}.{\overline{r}}'ds$ ,where $C$ is a circle of radius $\dfrac{4}{\sqrt{\pi }}$ units is ________ Here, $\overline{F}(x,y)=y\hat{i}+2x\hat{j}$ ... $x-y$ Cartesian reference. In evaluating the line integral, the curve has to be traversed in the counter-clockwise direction.
The value of the line integral $\oint_{c}^{ }\overline{F}.{\overline{r}}'ds$ ,where $C$ is a circle of radius $\dfrac{4}{\sqrt{\pi }}$ units is ________Here, $\overline{F...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set3
numerical-answers
calculus
vector-identities
initial-and-boundary-value-problems
+
–
0
answers
0
votes
GATE2016-1-4
Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is $μ$. The standard deviation for this distribution is given by $\sqrt{\mu }$ $\mu ^2$ $\mu$ $1/\mu$
Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is $μ$. The standard deviation for this distribution is given by$\sqrt{\...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Probability and Statistics
gateme-2016-set1
probability-and-statistics
probability
poisson-distribution
mode-and-standard-deviation
+
–
0
answers
0
votes
GATE2015-2-27
The surface integral $\displaystyle{} \int \int_{s}^{ }\dfrac{1}{\pi }(9xi-3yj)\cdot nds$ over the sphere given by $x^2+y^2+z^2=9$ is
The surface integral $\displaystyle{} \int \int_{s}^{ }\dfrac{1}{\pi }(9xi-3yj)\cdot nds$ over the sphere given by $x^2+y^2+z^2=9$ is
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2015-set2
numerical-answers
calculus
integrals
area-under-curve
+
–
0
answers
0
votes
GATE2015-2-28
Consider the following differential equation: $\dfrac{dy}{dt}=-5y$; initial condition: $y=2$ at $t=0$. The value of $y$ at $t=3$ is $-5e^{-10}$ $2e^{-10}$ $2e^{-15}$ $-15e^{2}$
Consider the following differential equation:$\dfrac{dy}{dt}=-5y$; initial condition: $y=2$ at $t=0$. The value of $y$ at $t=3$ is$-5e^{-10}$$2e^{-10}$$2e^{-15}$$-15e^...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Differential Equations
gateme-2015-set2
differential-equations
+
–
0
answers
0
votes
GATE2016-1-5
Solve the equation $x=10\cos(x)$ using the Newton-Raphson method. The initial guess is $x=\pi /4$. The value of the predicted root after the first iteration, up to second decimal, is ________
Solve the equation $x=10\cos(x)$ using the Newton-Raphson method. The initial guess is $x=\pi /4$. The value of the predicted root after the first iteration, up to second...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2016-set1
numerical-answers
numerical-methods
newton-raphson-method
+
–
0
answers
0
votes
GATE2015-3-15
The lowest eigenvalue of the $2\times 2$ matrix $\begin{bmatrix} 4 & 2\\ 1 & 3 \end{bmatrix}$ is ________
The lowest eigenvalue of the $2\times 2$ matrix $\begin{bmatrix} 4 & 2\\ 1 & 3 \end{bmatrix}$ is ________
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Linear Algebra
gateme-2015-set3
numerical-answers
linear-algebra
matrices
eigenvalues
+
–
0
answers
0
votes
GATE2015-3-42
For a given matrix $P=\begin{bmatrix} 4+3i & -i\\ i & 4-3i \end{bmatrix}$, where $i=\sqrt{-1}$, the inverse of matrix $P$ is $P=\displaystyle{\frac{1}{24}}\begin{bmatrix} 4-3i & i\\ -i & 4+3i \end{bmatrix} \\$ ... $P=\displaystyle{\frac{1}{25}}\begin{bmatrix} 4+3i & -i\\ i & 4-3i \end{bmatrix} \\$
For a given matrix $P=\begin{bmatrix} 4+3i & -i\\ i & 4-3i \end{bmatrix}$, where $i=\sqrt{-1}$, the inverse of matrix $P$ is$P=\displaystyle{\frac{1}{24}}\begin{bmatrix} ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Linear Algebra
gateme-2015-set3
linear-algebra
matrices
+
–
0
answers
0
votes
GATE2016-1-53
The figure below represents a triangle $PQR$ with initial coordinates of the vertices as $P(1,3)$, $Q(4,5)$ and $R(5,3.5)$. The triangle is rotated in the $X$-$Y$ plane about the vertex $P$ by angle $\theta$ in clockwise direction. If sin$\theta$ = $0.6$ and cos$\theta$ = $0.8$, the new coordinates of the vertex $Q$ are $(4.6, 2.8)$ $(3.2, 4.6)$ $(7.9, 5.5)$ $(5.5, 7.9)$
The figure below represents a triangle $PQR$ with initial coordinates of the vertices as $P(1,3)$, $Q(4,5)$ and $R(5,3.5)$. The triangle is rotated in the $X$-$Y$ plane a...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set1
calculus
vector-identities
+
–
0
answers
0
votes
GATE2015-3-13
Using a unit step size, the value of integral $\int_{1}^{2}x \ln x dx$ by trapezoidal rule is ________
Using a unit step size, the value of integral $\int_{1}^{2}x \ln x dx$ by trapezoidal rule is ________
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2015-set3
numerical-answers
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
+
–
0
answers
0
votes
GATE2016-3-1
A real square matrix $\textbf{A}$ is called skew-symmetric if $A^T=A$ $A^T=A^{-1}$ $A^T=-A$ $A^T=A+A^{-1}$
A real square matrix $\textbf{A}$ is called skew-symmetric if$A^T=A$$A^T=A^{-1}$$A^T=-A$$A^T=A+A^{-1}$
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Linear Algebra
gateme-2016-set3
linear-algebra
matrices
+
–
0
answers
0
votes
GATE2016-1-27
If $y=f(x)$ satisfies the boundary value problem ${y}''+9y=0$ , $y(0)=0$ , $y(\pi /2)=\sqrt{2}$, then $y(\pi /4)$ is ________
If $y=f(x)$ satisfies the boundary value problem ${y}''+9y=0$ , $y(0)=0$ , $y(\pi /2)=\sqrt{2}$, then $y(\pi /4)$ is ________
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set1
numerical-answers
calculus
boundary-value-problems
+
–
0
answers
0
votes
GATE2016-2-5
Numerical integration using trapezoidal rule gives the best result for a single variable function, which is linear parabolic logarithmic hyperbolic
Numerical integration using trapezoidal rule gives the best result for a single variable function, which islinearparaboliclogarithmichyperbolic
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2016-set2
numerical-methods
+
–
0
answers
0
votes
GATE2015-2-3
Curl of vector $V(x,y,z)=2x^2i+3z^2j+y^3k$ at $x=y=z=1$ is $-3i$ $3i$ $3i-4j$ $3i-6k$
Curl of vector $V(x,y,z)=2x^2i+3z^2j+y^3k$ at $x=y=z=1$ is$-3i$$3i$$3i-4j$$3i-6k$
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2015-set2
calculus
divergence-and-curl
+
–
0
answers
0
votes
GATE2016-3-3
Solutions of Laplace’s equation having continuous second-order partial derivatives are called biharmonic functions harmonic functions conjugate harmonic functions error functions
Solutions of Laplace’s equation having continuous second-order partial derivatives are calledbiharmonic functionsharmonic functionsconjugate harmonic functionserror fun...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Differential Equations
gateme-2016-set3
differential-equations
laplace-transforms
+
–
0
answers
0
votes
GATE2016-2-3
Laplace transform of $\cos( \omega t)$ is $\dfrac{s}{s^2+\omega ^2} \\$ $\dfrac{\omega }{s^2+\omega ^2} \\$ $\dfrac{s}{s^2-\omega ^2} \\$ $\dfrac{\omega }{s^2-\omega ^2}$
Laplace transform of $\cos( \omega t)$ is$\dfrac{s}{s^2+\omega ^2} \\$$\dfrac{\omega }{s^2+\omega ^2} \\$$\dfrac{s}{s^2-\omega ^2} \\$$\dfrac{\omega }{s^2-\omega ^2}$
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Differential Equations
gateme-2016-set2
differential-equations
laplace-transforms
+
–
0
answers
0
votes
GATE2015-2-26
The chance of a student passing an exam is $20 \%$. The chance of a student passing the exam and getting above $90 \%$ marks in it is $5 \%$. GIVEN that a student passes the examination, the probability that the student gets above $90 \%$ marks is $\dfrac{1}{18} \\ $ $\dfrac{1}{4} \\$ $\dfrac{2}{9} \\$ $\dfrac{5}{18}$
The chance of a student passing an exam is $20 \%$. The chance of a student passing the exam and getting above $90 \%$ marks in it is $5 \%$. GIVEN that a student passes ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Probability and Statistics
gateme-2015-set2
probability-and-statistics
probability
+
–
0
answers
0
votes
GATE2016-1-55
Maximize $Z = 15X_1 + 20X_2$ subject to $\begin{array}{l} 12X_1 + 4X_2 \geq 36 \\ 12X_1 − 6X_2 \leq 24 \\ X_1, X_2 \geq 0 \end{array}$ The above linear programming problem has infeasible solution unbounded solution alternative optimum solutions degenerate solution
Maximize $Z = 15X_1 + 20X_2$ subject to $$\begin{array}{l} 12X_1 + 4X_2 \geq 36 \\ 12X_1 − 6X_2 \leq 24 \\ X_1, X_2 \geq 0 \end{array}$$The above linear programming pr...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2016-set1
numerical-methods
linear-programming
+
–
0
answers
0
votes
GATE2015-2-1
At least one eigenvalue of a singular matrix is positive zero negative imaginary
At least one eigenvalue of a singular matrix ispositivezeronegativeimaginary
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Linear Algebra
gateme-2015-set2
linear-algebra
matrices
eigen-values
+
–
0
answers
0
votes
GATE2016-1-26
Consider the function $f(x)=2x^3-3x^2$ in the domain $[-1,2]$ The global minimum of $f(x)$ is ____________
Consider the function $f(x)=2x^3-3x^2$ in the domain $[-1,2]$ The global minimum of $f(x)$ is ____________
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set1
numerical-answers
calculus
maxima-minima
+
–
0
answers
0
votes
GATE2015-3-43
Newton-Raphson method is used to find the roots of the equation, $x^3+3x^2+3x-1=0$. If the initial guess is $x_0=1$, then the value of $x$ after $2^{nd}$ iteration is ________
Newton-Raphson method is used to find the roots of the equation, $x^3+3x^2+3x-1=0$. If the initial guess is $x_0=1$, then the value of $x$ after $2^{nd}$ iteration is ___...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2015-set3
numerical-answers
numerical-methods
newton-raphson-method
+
–
0
answers
0
votes
GATE2016-3-53
A point P $(1, 3,−5)$ is translated by $2\hat{i}+3\hat{j}-4\hat{k}$ and then rotated counter clockwise by $90^\circ $ about the $z$-axis. The new position of the point is $(−6, 3,−9)$ $(−6,−3,−9)$ $(6, 3,−9)$ $(6, 3, 9)$
A point P $(1, 3,−5)$ is translated by $2\hat{i}+3\hat{j}-4\hat{k}$ and then rotated counter clockwise by $90^\circ $ about the $z$-axis. The new position of the point...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set3
calculus
vector-identities
+
–
0
answers
0
votes
GATE2016-1-2
If $f(t)$ is a function defined for all $t \geq 0$, its Laplace transform $F(s)$ is defined as $\int_{0}^{\infty }e^{st}f(t)dt \\$ $\int_{0}^{\infty }e^{-st}f(t)dt \\$ $\int_{0}^{\infty }e^{ist}f(t)dt \\$ $\int_{0}^{\infty }e^{-ist}f(t)dt$
If $f(t)$ is a function defined for all $t \geq 0$, its Laplace transform $F(s)$ is defined as$\int_{0}^{\infty }e^{st}f(t)dt \\$$\int_{0}^{\infty }e^{-st}f(t)dt \\$$\int...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Differential Equations
gateme-2016-set1
differential-equations
laplace-transforms
+
–
0
answers
0
votes
GATE2015-2-29
The values of function $f(x)$ at $5$ discrete points are given below: $\begin{array}{|l|l|l|l|l|l|} \hline x & 0& 0.1 & 0.2 & 0.3 & 0.4 \\ \hline f(x) & 0 & 10 & 40& 90 & 160 \\ \hline \end{array}$ Using Trapezoidal rule with step size of $0.1$, the value of $\int_{0}^{0.4}f(x)dx$ is __________
The values of function $f(x)$ at $5$ discrete points are given below:$$\begin{array}{|l|l|l|l|l|l|} \hline x & 0& 0.1 & 0.2 & 0.3 & 0.4 \\ \hline f(x) & 0 & 10 & 40& 90 ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2015-set2
numerical-answers
integration-by-trapezoidal-and-simpsons-rule
numerical-methods
+
–
0
answers
0
votes
GATE2016-3-26
The number of linearly independent eigenvectors of matrix $A=\begin{bmatrix} 2 & 1 & 0\\ 0 &2 &0 \\ 0 & 0 & 3 \end{bmatrix}$ is _________
The number of linearly independent eigenvectors of matrix $A=\begin{bmatrix} 2 & 1 & 0\\ 0 &2 &0 \\ 0 & 0 & 3 \end{bmatrix}$ is _________
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Linear Algebra
gateme-2016-set3
numerical-answers
linear-algebra
eigen-values
eigen-vectors
+
–
0
answers
0
votes
GATE2015-3-51
For the linear programming problem: $\begin{array}{ll} \text{Maximize} & Z = 3X_1 + 2X_2 \\ \text{Subject to} &−2X_1 + 3X_2 \leq 9\\ & X_1 − 5 X_2 \geq −20 \\ & X_1, X_2 \geq 0 \end{array}$ The above problem has unbounded solution infeasible solution alternative optimum solution degenerate solution
For the linear programming problem:$$\begin{array}{ll} \text{Maximize} & Z = 3X_1 + 2X_2 \\ \text{Subject to} &−2X_1 + 3X_2 \leq 9\\ & X_1 − 5 X_2 \geq −20 \\ &...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2015-set3
numerical-methods
linear-programming
+
–
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
28.5k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2015-set1
numerical-answers
numerical-methods
+
–
0
answers
0
votes
GATE2015-1-28
Find the solution of $\dfrac{d^2y}{dx^2}=Y$ which passes through the origin and the point $\left(\ln 2,\dfrac{3}{4}\right)$ $y=\dfrac{1}{2}e^x-e^{-x} $ $y=\dfrac{1}{2}(e^x+e^{-x}) $ $y=\dfrac{1}{2}(e^x-e^{-x}) $ $y=\dfrac{1}{2}e^x+e^{-x} $
Find the solution of $\dfrac{d^2y}{dx^2}=Y$ which passes through the origin and the point $\left(\ln 2,\dfrac{3}{4}\right)$$y=\dfrac{1}{2}e^x-e^{-x} $$y=\dfrac{1}{2}(e^x+...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Differential Equations
gateme-2015-set1
differential-equations
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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
28.5k
points
Arjun
asked
Feb 24, 2017
Probability and Statistics
gateme-2015-set1
probability-and-statistics
probability
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