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Most answered questions in Engineering Mathematics
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votes
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41
GATE2020 CE-2-18
A fair (unbiased) coin is tossed $15$ times. The probability of getting exactly $8$ Heads (round off to three decimal places), is _______.
A fair (unbiased) coin is tossed $15$ times. The probability of getting exactly $8$ Heads (round off to three decimal places), is _______.
go_editor
5.3k
points
go_editor
asked
Feb 13, 2020
Probability and Statistics
gate2020-ce-2
numerical-answers
probability-and-statistics
probability
+
–
0
votes
0
answers
42
GATE2020 CE-2-24
Velocity distribution in a boundary layer is given by $\dfrac{u}{U_\infty} = \sin\large \left( \dfrac{\pi}{2}\dfrac{y}{\delta} \right)$, where $u$ is the velocity at vertical coordinate $y,\: U_\infty$ is the free stream velocity and $\delta$ is the boundary layer ... $\ s^{-1}$, round off to two decimal places) at $y = 0$, is ________.
Velocity distribution in a boundary layer is given by $\dfrac{u}{U_\infty} = \sin\large \left( \dfrac{\pi}{2}\dfrac{y}{\delta} \right)$, where $u$ is the velocity at vert...
go_editor
5.3k
points
go_editor
asked
Feb 13, 2020
Calculus
gate2020-ce-2
numerical-answers
calculus
gradient
+
–
0
votes
0
answers
43
GATE2020 CE-2-26
An ordinary differential equation is given below $6\dfrac{d^2y}{dx^2}+\frac{dy}{dx}-y=0$ The general solution of the above equation (with constants $C_1$ and $C_2$), is $y(x) = C_1e^\frac{-x}{3} + C_2e^\frac{x}{2}$ $y(x) = C_1e^\frac{x}{3} + C_2e^\frac{-x}{2}$ $ y(x) = C_1xe^\frac{-x}{3} + C_2e^\frac{x}{2}$ $ y(x) = C_1e^\frac{-x}{3} + C_2xe^\frac{x}{2}$
An ordinary differential equation is given below$$6\dfrac{d^2y}{dx^2}+\frac{dy}{dx}-y=0$$The general solution of the above equation (with constants $C_1$ and $C_2$), is$y...
go_editor
5.3k
points
go_editor
asked
Feb 13, 2020
Ordinary Differential Equation (ODE)
gate2020-ce-2
ordinary-differential-equation
+
–
0
votes
0
answers
44
GATE2020 CE-2-27
A $4 \times 4$ matrix $[P]$ is given below $[P] = \begin{bmatrix}0 &1 &3 &0 \\-2 &3 &0 &4 \\0 &0 &6 &1 \\0 &0 &1 &6 \end{bmatrix}$ The eigen values of $[P]$ are $0, 3, 6, 6$ $1, 2, 3, 4$ $3, 4, 5, 7$ $1, 2, 5, 7$
A $4 \times 4$ matrix $[P]$ is given below$$[P] = \begin{bmatrix}0 &1 &3 &0 \\-2 &3 &0 &4 \\0 &0 &6 &1 \\0 &0 &1 &6 \end{bmatrix}$$The eigen values of $[P]$ are $0, 3, 6,...
go_editor
5.3k
points
go_editor
asked
Feb 13, 2020
Linear Algebra
gate2020-ce-2
linear-algebra
matrices
eigen-values
+
–
0
votes
0
answers
45
GATE2020 CE-2-39
The Fourier series to represent $x- x^2$ for $-\pi\leq x\leq \pi$ is given by $ x-x^2 = \dfrac{a_0}{2} + \sum_{n=1}^{\infty} a_n\ \cos nx + \sum_{n=1}^{\infty} b_n\ \sin nx$ The value of $a_0$(round off to two decimal places), is ________.
The Fourier series to represent $x- x^2$ for $-\pi\leq x\leq \pi$ is given by$$ x-x^2 = \dfrac{a_0}{2} + \sum_{n=1}^{\infty} a_n\ \cos nx + \sum_{n=1}^{\infty} b_n\ \si...
go_editor
5.3k
points
go_editor
asked
Feb 13, 2020
Partial Differential Equation (PDE)
gate2020-ce-2
numerical-answers
partial-differential-equation
fourier-series
+
–
0
votes
0
answers
46
GATE2020 CE-2-40
The diameter and height of a right circular cylinder are $3\: cm$ and $4\: cm$, respectively. The absolute error in each of these two measurements is $0.2\: cm$. The absolute error in the computed volume ( in $cm^3$ ,round off to three decimal places), is ________
The diameter and height of a right circular cylinder are $3\: cm$ and $4\: cm$, respectively. The absolute error in each of these two measurements is $0.2\: cm$. The abso...
go_editor
5.3k
points
go_editor
asked
Feb 13, 2020
Numerical Methods
gate2020-ce-2
numerical-answers
numerical-methods
+
–
0
votes
0
answers
47
GATE2017 CE-2-1
Consider the following simultaneous equations (with $c_1$ and $c_2$ being constants): $3x_1+2x_2=c_1$ $4x_1+x_2=c_2$ The characteristic equation for these simultaneous equation is $\lambda^2 – 4 \lambda – 5=0$ $\lambda^2 – 4 \lambda + 5=0$ $\lambda^2 + 4 \lambda – 5=0$ $\lambda^2 + 4 \lambda + 5=0$
Consider the following simultaneous equations (with $c_1$ and $c_2$ being constants):$3x_1+2x_2=c_1$$4x_1+x_2=c_2$The characteristic equation for these simultaneous equat...
gatecse
4.0k
points
gatecse
asked
Aug 7, 2019
Linear Algebra
gate2017-ce-2
linear-algebra
system-of-equations
+
–
0
votes
0
answers
48
GATE2017 CE-2-2
Let $w=f(x,y)$, where $x$ and $y$ are functions of $t$. Then, according to the chain rule, $\dfrac{dw}{dt}$ is equal to $\dfrac{dw}{dx} \dfrac{dx}{dt} + \dfrac{dw}{dy} \dfrac{dt}{dt} \\$ ... $\dfrac{d w}{dx} \dfrac{\partial x}{\partial t} + \dfrac{dw}{dy} \dfrac{\partial y}{ \partial t}$
Let $w=f(x,y)$, where $x$ and $y$ are functions of $t$. Then, according to the chain rule, $\dfrac{dw}{dt}$ is equal to$\dfrac{dw}{dx} \dfrac{dx}{dt} + \dfrac{dw}{dy} \df...
gatecse
4.0k
points
gatecse
asked
Aug 7, 2019
Calculus
gate2017-ce-2
calculus
partial-derivatives
+
–
0
votes
0
answers
49
GATE2017 CE-2-19
The divergence of the vector field $V=x^2 i + 2y^3 j + z^4 k$ at $x=1, \: y=2, \: z=3$ is ________
The divergence of the vector field $V=x^2 i + 2y^3 j + z^4 k$ at $x=1, \: y=2, \: z=3$ is ________
gatecse
4.0k
points
gatecse
asked
Aug 7, 2019
Calculus
gate2017-ce-2
calculus
vector-calculus
divergence
numerical-answers
+
–
0
votes
0
answers
50
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
+
–
0
votes
0
answers
51
GATE2017 CE-2-26
The tangent to the curve represented by $y=x \text{ ln }x$ is required to have $45^{\circ}$ inclination with the $x$-axis. The coordinates of the tangent point would be $(1,0)$ $(0, 1)$ $(1,1)$ $(\sqrt{2}, (\sqrt{2})$
The tangent to the curve represented by $y=x \text{ ln }x$ is required to have $45^{\circ}$ inclination with the $x$-axis. The coordinates of the tangent point would be$(...
gatecse
4.0k
points
gatecse
asked
Aug 7, 2019
Calculus
gate2017-ce-2
calculus
curves
+
–
0
votes
0
answers
52
GATE2017 CE-2-27
Consider the following definite integral: $I= \displaystyle{} \int_0^1 \dfrac{(\sin ^{-1}x)^2}{\sqrt{1-x^2}} dx$. The value of the integral is $\dfrac{\pi ^3}{24} \\$ $\dfrac{\pi ^3}{12} \\$ $\dfrac{\pi ^3}{48} \\$ $\dfrac{\pi ^3}{64}$
Consider the following definite integral: $I= \displaystyle{} \int_0^1 \dfrac{(\sin ^{-1}x)^2}{\sqrt{1-x^2}} dx$. The value of the integral is$\dfrac{\pi ^3}{24} \\$$\dfr...
gatecse
4.0k
points
gatecse
asked
Aug 7, 2019
Calculus
gate2017-ce-2
calculus
definite-integral
+
–
0
votes
0
answers
53
GATE2017 CE-2-29
Consider the following second-order differential equation: $y’’ – 4y’+3y =2t -3t^2$. The particular solution of the differential solution equation is $ – 2 -2t-t^2$ $ – 2t-t^2$ $2t-3t^2$ $ – 2 -2t-3 t^2$
Consider the following second-order differential equation: $y’’ – 4y’+3y =2t -3t^2$. The particular solution of the differential solution equation is$ – 2 -2t-t...
gatecse
4.0k
points
gatecse
asked
Aug 7, 2019
Partial Differential Equation (PDE)
gate2017-ce-2
ordinary-differential-equation
second-order-differential-equation
+
–
1
votes
0
answers
54
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
+
–
1
votes
0
answers
55
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
0
answers
56
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
57
GATE2019 CE-1: 26
Which one of the following is NOT a correct statement? The function $\sqrt[x]{x}, \: (x>0)$, has the global maxima at $x=e$ The function $\sqrt[x]{x}, \: (x>0)$, has the global minima at $x=e$ The function $x^3$ has neither global minima nor global maxima The function $\mid x \mid$ has the global minima at $x=0$
Which one of the following is NOT a correct statement?The function $\sqrt[x]{x}, \: (x>0)$, has the global maxima at $x=e$The function $\sqrt[x]{x}, \: (x>0)$, has the gl...
Arjun
13.0k
points
Arjun
asked
Feb 14, 2019
Calculus
gate2019-ce-1
calculus
maxima-minima
+
–
0
votes
0
answers
58
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
59
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
60
GATE2019 CE-1: 44
Consider the ordinary differential equation $x^2 \dfrac{d^2y}{dx^2} – 2x \dfrac{dy}{dx} +2y=0$. Given the values of $y(1)=0$ and $y(2)=2$, the value of $y(3)$ (round off to $1$ decimal place), is _________
Consider the ordinary differential equation $x^2 \dfrac{d^2y}{dx^2} – 2x \dfrac{dy}{dx} +2y=0$. Given the values of $y(1)=0$ and $y(2)=2$, the value of $y(3)$ (round of...
Arjun
13.0k
points
Arjun
asked
Feb 14, 2019
Ordinary Differential Equation (ODE)
gate2019-ce-1
ordinary-differential-equation
numerical-answers
+
–
0
votes
0
answers
61
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}$$\sqrt{56}$
Arjun
13.0k
points
Arjun
asked
Feb 12, 2019
Linear Algebra
gate2019-ce-2
linear-algebra
matrices
unit-vector
+
–
0
votes
0
answers
62
GATE2019 CE-2: 2
The Laplace transform of $\sin h (\text{at})$ is $\dfrac{a}{s^2-a^2} \\$ $\dfrac{a}{s^2 + a^2} \\$ $\dfrac{s}{s^2-a^2} \\$ $\dfrac{s}{s^2+a^2}$
The Laplace transform of $\sin h (\text{at})$ is $\dfrac{a}{s^2-a^2} \\$$\dfrac{a}{s^2 + a^2} \\$$\dfrac{s}{s^2-a^2} \\$$\dfrac{s}{s^2+a^2}$
Arjun
13.0k
points
Arjun
asked
Feb 12, 2019
Ordinary Differential Equation (ODE)
gate2019-ce-2
ordinary-differential-equation
laplace-transform
+
–
0
votes
0
answers
63
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
64
GATE2019 CE-2: 4
What is curl of the vector field $2x^2y \textbf{i} + 5z^2 \textbf{j} – 4yz \textbf{k}$? $6z \textbf{i} + 4x \textbf{j} – 2x^2 \textbf{k}$ $6z \textbf{i} - 8xy \textbf{j} + 2x^2 y\textbf{k}$ $- 14 z \textbf{i} + 6y \textbf{j} + 2x^2 \textbf{k}$ $-14z \textbf{i} – 2x^2 \textbf{k}$
What is curl of the vector field $2x^2y \textbf{i} + 5z^2 \textbf{j} – 4yz \textbf{k}$?$6z \textbf{i} + 4x \textbf{j} – 2x^2 \textbf{k}$$6z \textbf{i} - 8xy \textbf{j...
Arjun
13.0k
points
Arjun
asked
Feb 12, 2019
Calculus
gate2019-ce-2
calculus
vector-calculus
vector-identities
field-vectors
curl
+
–
0
votes
0
answers
65
GATE2019 CE-2: 18
The value of the function $f(x)$ is given at $n$ distinct values of $x$ and its value is to be interpolated at the point $x^*$, using all the $n$ points. The estimate is obtained first by the Lagrange polynomial, denoted by $I_L$, and then by the ... than $I_N$ $I_L$ and $I_N$ are always equal $I_L$ is always less than $I_N$ Not definite relation exists between $I_L$ and $I_N$
The value of the function $f(x)$ is given at $n$ distinct values of $x$ and its value is to be interpolated at the point $x^*$, using all the $n$ points. The estimate is ...
Arjun
13.0k
points
Arjun
asked
Feb 12, 2019
Numerical Methods
gate2019-ce-2
numerical-methods
newtons-polynomial
+
–
0
votes
0
answers
66
GATE2019 CE-2: 26
The probability density function of a continuous random variable distributed uniformly between $x$ and $y$ (for $y>x$) is $\dfrac{1}{x-y}$ $\dfrac{1}{y-x}$ $x-y$ $y-x$
The probability density function of a continuous random variable distributed uniformly between $x$ and $y$ (for $y>x$) is$\dfrac{1}{x-y}$$\dfrac{1}{y-x}$$x-y$$y-x$
Arjun
13.0k
points
Arjun
asked
Feb 12, 2019
Probability and Statistics
gate2019-ce-2
probability-and-statistics
probability
probability-density-function
random-variable
uniform-distribution
+
–
0
votes
0
answers
67
GATE2019 CE-2: 28
An ordinary differential equation is given below; $\left ( \dfrac{dy}{dx} \right ) (x \text{ ln } x)=y$ The solution for the above equation is (Note: $K$ denotes a constant in the options) $y=K x \text{ ln } x$ $y=K x e^x$ $y=K x e^{-x}$ $y=K \text{ ln } x$
An ordinary differential equation is given below;$\left ( \dfrac{dy}{dx} \right ) (x \text{ ln } x)=y$The solution for the above equation is(Note: $K$ denotes a constant ...
Arjun
13.0k
points
Arjun
asked
Feb 12, 2019
Ordinary Differential Equation (ODE)
gate2019-ce-2
ordinary-differential-equation
+
–
2
votes
0
answers
68
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
0
answers
69
GATE2016-2-1
The spot speeds (expressed in km/hr) observed at a road section are $66, 62, 45, 79, 32, 51, 56, 60, 53,$ and $49$. The median speed (expressed in km / hr) is ______ (Note: answer with one decimal accuracy)
The spot speeds (expressed in km/hr) observed at a road section are $66, 62, 45, 79, 32, 51, 56, 60, 53,$ and $49$. The median speed (expressed in km / hr) is ______(Note...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 27, 2018
Probability and Statistics
gate2016-ce-2
numerical-answers
probability-and-statistics
statistics
mean-median-mode
+
–
0
votes
0
answers
70
GATE2016-2-2
The optimum value of the function $f(x)=x^2-4x+2$ is $2$ (maximum) $2$ (minimum) $ – 2$ (maximum) $ – 2$ (minimum)
The optimum value of the function $f(x)=x^2-4x+2$ is$2$ (maximum)$2$ (minimum)$ – 2$ (maximum)$ – 2$ (minimum)
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 27, 2018
Calculus
gate2016-ce-2
calculus
maxima-minima
+
–
0
votes
0
answers
71
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
72
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
73
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
74
GATE2016-2-25
A circular curve of radius R connects two straights with a deflection angle of $60^{\circ}$. The tangent length is $0.577 \: R$ $1.155 \: R$ $1.732 \:R$ $3.464 \: R$
A circular curve of radius R connects two straights with a deflection angle of $60^{\circ}$. The tangent length is$0.577 \: R$$1.155 \: R$$1.732 \:R$$3.464 \: R$
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 27, 2018
Calculus
gate2016-ce-2
calculus
circular-curve
+
–
0
votes
0
answers
75
GATE2016-2-26
Consider the following linear system. $x+2y-3z=a$ $2x+3y+3z=b$ $5x +9y-6z=c$ This system is consistent if $a, b$ and $c$ satisfy the equation $7a-b-c=0$ $3a+b-c=0$ $3a-b+c=0$ $7a-b+c=0$
Consider the following linear system.$x+2y-3z=a$$2x+3y+3z=b$$5x +9y-6z=c$This system is consistent if $a, b$ and $c$ satisfy the equation$7a-b-c=0$$3a+b-c=0$$3a-b+c=0$$7a...
Milicevic3306
11.9k
points
Milicevic3306
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Mar 27, 2018
Linear Algebra
gate2016-ce-2
linear-algebra
system-of-equations
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–
1
votes
0
answers
76
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
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–
0
votes
0
answers
77
GATE2016-2-28
The angle of intersection of the curves $x^{2}=4y$ and $y^{2} = 4x$ at point $(0,0)$ is $0^{\circ}$ $30^{\circ}$ $45^{\circ}$ $90^{\circ}$
The angle of intersection of the curves $x^{2}=4y$ and $y^{2} = 4x$ at point $(0,0)$ is$0^{\circ}$$30^{\circ}$$45^{\circ}$$90^{\circ}$
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 27, 2018
Calculus
gate2016-ce-2
calculus
curves
+
–
0
votes
0
answers
78
GATE2016-2-29
The area between the parabola $x^2=8y$ and the straight line $y=8$ is _______.
The area between the parabola $x^2=8y$ and the straight line $y=8$ is _______.
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 27, 2018
Calculus
gate2016-ce-2
calculus
definite-integral
area-under-curve
numerical-answers
+
–
0
votes
0
answers
79
GATE2016-2-30
The quadratic approximation of $f(x)=x^3 – 3x^2 -5$ at the point $x=0$ is $3x^2 -6x-5$ $-3x^2-5$ $-3x^2+6x-5$ $3x^2-5$
The quadratic approximation of $f(x)=x^3 – 3x^2 -5$ at the point $x=0$ is$3x^2 -6x-5$$-3x^2-5$$-3x^2+6x-5$$3x^2-5$
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 27, 2018
Numerical Methods
gate2016-ce-2
numerical-methods
quadratic-approximation
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–
0
votes
0
answers
80
GATE2016-1-1
Newton-Raphson method is to be used to find root of equation $3x-e^x+ \sin x=0$.If the initial trial value for the root is taken as $0.333$, the next approximation for the root would be _______ (note: answer up to three decimal)
Newton-Raphson method is to be used to find root of equation $3x-e^x+ \sin x=0$.If the initial trial value for the root is taken as $0.333$, the next approximation for th...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 27, 2018
Numerical Methods
gate2016-ce-1
numerical-answers
numerical-methods
newton-raphson-method
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