GO BioTechnology
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
Highest voted questions in Engineering Mathematics
0
votes
0
answers
41
GATE2014-5
The solution to the following set of equations is $2x+3y=4$ $4x+6y=0$ $x=0,y=0$ $x=2, y=0$ $4x=-6y$ No solution
The solution to the following set of equations is$$2x+3y=4$$$$4x+6y=0$$$x=0,y=0$$x=2, y=0$$4x=-6y$No solution
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Linear Algebra
gate2014
linear-algebra
system-of-equations
+
–
0
votes
0
answers
42
GATE2014-27
If $y =x^x$, then $\frac{dy}{dx}$ is $x^x(x-1)$ $x^{x-1}$ $x^x(1 + \log x)$ $e^x(1 + \log x)$
If $y =x^x$, then $\frac{dy}{dx}$ is$x^x(x-1)$$x^{x-1}$$x^x(1 + \log x)$$e^x(1 + \log x)$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Calculus
gate2014
calculus
derivatives
+
–
0
votes
0
answers
43
GATE2014-28
Which of the following statements is true for the series given below? $S_n=1+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{4}}+\dots+\frac{1}{\sqrt{n}} $ $S_n$ converges to $\log(\sqrt{n})$ $S_n$ converges to $\sqrt{n}$ $S_n$ converges to $\exp(\sqrt{n})$ $S_n$ diverges
Which of the following statements is true for the series given below?$$S_n=1+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{4}}+\dots+\frac{1}{\sqrt{n}} $$$S_n$ con...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Calculus
gate2014
calculus
converges
+
–
0
votes
0
answers
44
GATE2014-29
The graph of the function $F(x) =\frac{x}{k_1x^2+k_2x+1}$ for $0<x<\infty$ is
The graph of the function $F(x) =\frac{x}{k_1x^2+k_2x+1}$ for $0<x<\infty$ is
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Calculus
gate2014
calculus
functions
curves
+
–
0
votes
0
answers
45
GATE2013-41
The solution to $\frac {dy}{dx}+y \cot x=\csc x$ is $y=(c+x)\cot x$ $y=(c+x)\csc x$ $y=(c+x)\csc x\cot x$ $y=(c+x)\frac{\csc x}{\cot x}$
The solution to $\frac {dy}{dx}+y \cot x=\csc x$ is$y=(c+x)\cot x$$y=(c+x)\csc x$$y=(c+x)\csc x\cot x$$y=(c+x)\frac{\csc x}{\cot x}$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Differential Equations
gate2013
differential-equations
+
–
0
votes
0
answers
46
GATE2013-40
The solution of the following set of equations is $x+2y+3z=20$ $7x+3y+z=13$ $x+6y+2z=0$ $x=-2, y=2, z=8$ $x=2, y=-3, z=8$ $x=2, y=3, z=-8$ $x=8, y=2, z=-3$
The solution of the following set of equations is$$x+2y+3z=20$$$$7x+3y+z=13$$$$x+6y+2z=0$$$x=-2, y=2, z=8$$x=2, y=-3, z=8$$x=2, y=3, z=-8$$x=8, y=2, z=-3$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Linear Algebra
gate2013
linear-algebra
matrices
system-of-equations
+
–
0
votes
0
answers
47
GATE2013-38
Evaluate $\underset{x\rightarrow\infty }{\lim}x\tan\frac{1}{x}$ $\infty$ $1$ $0$ $-1$
Evaluate $\underset{x\rightarrow\infty }{\lim}x\tan\frac{1}{x}$$\infty$$1$$0$$-1$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Calculus
gate2013
calculus
limits
+
–
0
votes
0
answers
48
GATE2013-39
The Laplace transform of $f(t) = 2t + 6$ is $\frac{1}{s}+\frac{2}{s^2}$ $\frac{3}{s}-\frac{6}{s^2}$ $\frac{6}{s}+\frac{2}{s^2}$ $-\frac{6}{s}+\frac{2}{s^2}$
The Laplace transform of $f(t) = 2t + 6$ is$\frac{1}{s}+\frac{2}{s^2}$$\frac{3}{s}-\frac{6}{s^2}$$\frac{6}{s}+\frac{2}{s^2}$$-\frac{6}{s}+\frac{2}{s^2}$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Differential Equations
gate2013
differential-equations
laplace-transforms
+
–
0
votes
0
answers
49
GATE2013-20
One of the eigcn values of $P=\begin{bmatrix}10 & -4 \\ 18 & -12\end{bmatrix}$ is $2$ $4$ $6$ $8$
One of the eigcn values of $P=\begin{bmatrix}10 & -4 \\ 18 & -12\end{bmatrix}$ is$2$$4$$6$$8$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Linear Algebra
gate2013
linear-algebra
matrices
eigen-values
+
–
0
votes
0
answers
50
GATE2013-18
If $u=\log (e^x+e^y),$ then $\frac{\partial u}{\partial x}+\frac{\partial u}{\partial y}=$ $e^x+e^y$ $e^x-e^y$ $\frac{1}{e^x+e^y}$ $1$
If $u=\log (e^x+e^y),$ then $\frac{\partial u}{\partial x}+\frac{\partial u}{\partial y}=$$e^x+e^y$$e^x-e^y$$\frac{1}{e^x+e^y}$$1$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Calculus
gate2013
calculus
partial-derivatives
+
–
0
votes
0
answers
51
GATE2013-17
If $P=\begin{bmatrix}1&1\\2&2\end{bmatrix}, Q=\begin{bmatrix}2&1\\2&2\end{bmatrix}$ and $R=\begin{bmatrix}3&0\\1&3\end{bmatrix}$, which one of the following statements is $TRUE$? $PQ=PR$ $QR= RP$ $OP=RP$ $PO= OR$
If $P=\begin{bmatrix}1&1\\2&2\end{bmatrix}, Q=\begin{bmatrix}2&1\\2&2\end{bmatrix}$ and $R=\begin{bmatrix}3&0\\1&3\end{bmatrix}$, which one of the following statements is...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Linear Algebra
gate2013
linear-algebra
matrices
matrix-algebra
+
–
0
votes
0
answers
52
GATE2012-45
Consider the data set $14, 18, 14, 14, 10, 29, 33, 31, 25$. If you add $20$ to each of the values, then both mean and variance change both mean and variance are unchanged the mean is unchanged, variance changes the mean changes, the variance is unchanged
Consider the data set $14, 18, 14, 14, 10, 29, 33, 31, 25$. If you add $20$ to each of the values, thenboth mean and variance changeboth mean and variance are unchangedth...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2012
probability-and-statistics
statistics
mean-and-variance
+
–
0
votes
0
answers
53
GATE2012-40
A disease is inherited by a child with a probability of $1/4$. In a family with two children, the probability that exactly one sibling is affected by this disease is $1/4$ $3/8$ $7/16$ $9/16$
A disease is inherited by a child with a probability of $1/4$. In a family with two children, the probability that exactly one sibling is affected by this disease is$1/4$...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2012
probability-and-statistics
probability
+
–
0
votes
0
answers
54
GATE2012-32
What is the rank of the following matrix? $\begin{bmatrix}5 & 3 & -1\\ 6 & 2 & -4 \\14 & 10 & 0 \end{bmatrix}$ $0$ $1$ $2$ $3$
What is the rank of the following matrix?$$\begin{bmatrix}5 & 3 & -1\\ 6 & 2 & -4 \\14 & 10 & 0 \end{bmatrix}$$$0$$1$$2$$3$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Linear Algebra
gate2012
linear-algebra
matrices
rank-of-matrix
+
–
0
votes
0
answers
55
GATE2018-42
The probability distribution for a discrete random variable $X$ is given below. $\begin{array}{|c|c|c|c|c|} \hline X & 1 & 2 & 3 & 4 \\ \hline P(X) & 0.3 & 0.4 & 0.2 & 0.1 \\ \hline \end{array}$The expectation value of $X$ is (up to one decimal place) _____________
The probability distribution for a discrete random variable $X$ is given below. $$\begin{array}{|c|c|c|c|c|} \hline X & 1 & 2 & 3 & 4 \\ \hline P(X) & 0.3 & 0.4 & 0.2 & 0...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Probability and Statistics
gate2018
numerical-answers
probability-and-statistics
probability
expectation
+
–
0
votes
0
answers
56
GATE2018-41
Calculate the following integral (up to two decimal places) $\displaystyle \int_0^1 (x + 3)(x + 1)dx = \text{ ___________}$
Calculate the following integral (up to two decimal places)$$\displaystyle \int_0^1 (x + 3)(x + 1)dx = \text{ ___________}$$
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Calculus
gate2018
numerical-answers
calculus
definite-integrals
+
–
0
votes
0
answers
57
GATE2018-22
The variable $z$ has a standard normal distribution. If $P(0 \leq z \leq 1)= 0.34$ then $P(z^2 > 1)$ is equal to (up to two decimal places) ____________
The variable $z$ has a standard normal distribution. If $P(0 \leq z \leq 1)= 0.34$ then $P(z^2 1)$ is equal to (up to two decimal places) ____________
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Probability and Statistics
gate2018
numerical-answers
probability-and-statistics
probability
normal-distribution
+
–
0
votes
0
answers
58
GATE2018-21
The determinant of the matrix $\begin{pmatrix} 4 & -6 \\ -3 & 2 \end{pmatrix}$ is _________
The determinant of the matrix $\begin{pmatrix} 4 & -6 \\ -3 & 2 \end{pmatrix}$ is _________
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Linear Algebra
gate2018
numerical-answers
linear-algebra
matrices
determinant
+
–
0
votes
0
answers
59
GATE2018-19
Which one of the following is the solution for $\cos^2 x + 2 \cos x + 1 = 0$, for values of $x$ in the range of $0^\circ < x < 360^\circ$ $45^\circ$ $90^\circ$ $180^\circ$ $270^\circ$
Which one of the following is the solution for $\cos^2 x + 2 \cos x + 1 = 0$, for values of $x$ in the range of $0^\circ < x < 360^\circ$$45^\circ$$90^\circ$$180^\circ$$2...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Calculus
gate2018
calculus
trigonometry
+
–
0
votes
0
answers
60
GATE2018-16
Standard error is the probability of a type I error in a statistical test the error in estimating a sample standard deviation the standard deviation of a variable that follows standard normal distribution the standard deviation of distribution of sample means
Standard error isthe probability of a type I error in a statistical testthe error in estimating a sample standard deviationthe standard deviation of a variable that follo...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Probability and Statistics
gate2018
probability-and-statistics
statistics
standard-deviation
+
–
0
votes
0
answers
61
GATE2018-1
Consider an unfair coin. The probability of getting heads is $0.6$. If you toss this coin twice, what is the probability that the fast or the second toss is heads? $0.56$ $0.64$ $0.84$ $0.96$
Consider an unfair coin. The probability of getting heads is $0.6$. If you toss this coin twice, what is the probability that the fast or the second toss is heads?$0.56$$...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Probability and Statistics
gate2018
probability-and-statistics
probability
conditional-probability
+
–
–1
votes
0
answers
62
GATE2018-43
If $1+r + r^2+ r^3 +\dots \infty = 1.5$, then, $1 + 2r + 3r^2 + 4r^3 + \dots \infty = $ (up to two dcimal places) ________
If $1+r + r^2+ r^3 +\dots \infty = 1.5$, then, $1 + 2r + 3r^2 + 4r^3 + \dots \infty = $ (up to two dcimal places) ________
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Calculus
gate2018
numerical-answers
calculus
sequences-and-series
infinite-series
+
–
Page:
« prev
1
2
GO BioTechnology
Email or Username
Show
Hide
Password
I forgot my password
Remember
Log in
Register