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UGCNET-Dec2004-II: 46
Data Mining can be used as _________ Tool. Software Hardware Research Process
Data Mining can be used as _________ Tool. Software Hardware Research Process
answered
Jun 3, 2020
in
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Mohit Kumar 6
74
views
ugcnetdec2004ii
0
votes
2
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2
NIELIT 2016 MAR Scientist C - Section B: 5
If $f(x,y)=x^{3}y+e^{x},$ the partial derivatives, $\dfrac{\partial f}{\partial x},\dfrac{\partial f}{\partial y}$ are $3x^{2}y+1, \: x^{3}+1$ $3x^{2}y+e^{x}, \: x^{3}$ $x^{3}y+xe^{x}, \: x^{3}+e^{x}$ $2x^{2}y+\dfrac{e^{x}}{x}$
If $f(x,y)=x^{3}y+e^{x},$ the partial derivatives, $\dfrac{\partial f}{\partial x},\dfrac{\partial f}{\partial y}$ are $3x^{2}y+1, \: x^{3}+1$ $3x^{2}y+e^{x}, \: x^{3}$ $x^{3}y+xe^{x}, \: x^{3}+e^{x}$ $2x^{2}y+\dfrac{e^{x}}{x}$
answered
May 30, 2020
in
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DIBAKAR MAJEE
68
views
nielit2016mar-scientistc
non-gate
partial-order
0
votes
1
answer
3
ISI2015-MMA-65
Let $n$ be a positive real number and $p$ be a positive integer. Which of the following inequalities is true? $n^p > \frac{(n+1)^{p+1} – n^{p+1}}{p+1}$ $n^p < \frac{(n+1)^{p+1} – n^{p+1}}{p+1}$ $(n+1)^p < \frac{(n+1)^{p+1} – n^{p+1}}{p+1}$ none of the above
Let $n$ be a positive real number and $p$ be a positive integer. Which of the following inequalities is true? $n^p > \frac{(n+1)^{p+1} – n^{p+1}}{p+1}$ $n^p < \frac{(n+1)^{p+1} – n^{p+1}}{p+1}$ $(n+1)^p < \frac{(n+1)^{p+1} – n^{p+1}}{p+1}$ none of the above
answered
May 23, 2020
in
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Amartya
96
views
isi2015-mma
inequality
non-gate
1
vote
2
answers
4
UGCNET-June-2019-II: 95
Let $A_{\alpha_0}$ denotes the $\alpha$-cut of a fuzzy set $A$ at $\alpha_0$. If $\alpha_1 < \alpha_2$, then $A_{\alpha_1} \supseteq A_{\alpha_2}$ $A_{\alpha_1} \supset A_{\alpha_2}$ $A_{\alpha_1} \subseteq A_{\alpha_2}$ $A_{\alpha_1} \subset A_{\alpha_2}$
Let $A_{\alpha_0}$ denotes the $\alpha$-cut of a fuzzy set $A$ at $\alpha_0$. If $\alpha_1 < \alpha_2$, then $A_{\alpha_1} \supseteq A_{\alpha_2}$ $A_{\alpha_1} \supset A_{\alpha_2}$ $A_{\alpha_1} \subseteq A_{\alpha_2}$ $A_{\alpha_1} \subset A_{\alpha_2}$
answered
May 2, 2020
in
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Girjesh Chouhan
480
views
ugcnetjune2019ii
fuzzy-systems
alpha-cut
1
vote
1
answer
5
NIELIT 2017 July Scientist B (CS) - Section B: 24
How many wires are threaded through the cores in a coincident-current core memory? $2$ $3$ $4$ $6$
How many wires are threaded through the cores in a coincident-current core memory? $2$ $3$ $4$ $6$
answered
Apr 26, 2020
in
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abhishek tiwary
187
views
nielit2017july-scientistb-cs
non-gate
1
vote
1
answer
6
NIELIT 2018-22
While solving the differential equation $\frac{d^2 y}{dx^2} +4y = \tan 2x$ by the method of variation of parameters, then value of Wronskion (W) is: $1$ $2$ $3$ $4$
While solving the differential equation $\frac{d^2 y}{dx^2} +4y = \tan 2x$ by the method of variation of parameters, then value of Wronskion (W) is: $1$ $2$ $3$ $4$
answered
Apr 9, 2020
in
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Akanksha Singh
683
views
nielit-2018
non-gate
differential-equation
1
vote
0
answers
7
NIELIT 2016 MAR Scientist C - Section B: 6
If $y=f(x)$, in the interval $[a,b]$ is rotated about the $x$-axis, the Volume of the solid of revolution is $(f’(x)=dy/dx)$ $\int_{a}^{b} \pi [f(x)]^{2} dx \\$ $\int_{a}^{b}[f(x)]^{3} dx \\$ $\int_{a}^{b} \pi [{f}'(x)]^{2} dx \\$ $\int_{a}^{b} \pi^{2} f(x)dx \\$
If $y=f(x)$, in the interval $[a,b]$ is rotated about the $x$-axis, the Volume of the solid of revolution is $(f’(x)=dy/dx)$ $\int_{a}^{b} \pi [f(x)]^{2} dx \\$ $\int_{a}^{b}[f(x)]^{3} dx \\$ $\int_{a}^{b} \pi [{f}'(x)]^{2} dx \\$ $\int_{a}^{b} \pi^{2} f(x)dx \\$
asked
Apr 2, 2020
in
Others
Lakshman Patel RJIT
44
views
nielit2016mar-scientistc
non-gate
0
votes
0
answers
8
NIELIT 2016 MAR Scientist C - Section B: 7
The area under the curve $y(x)=3e^{-5x}$ from $x=0 \text{ to } x=\infty$ is $\dfrac{3}{5}$ $\dfrac{-3}{5}$ ${5}$ $\dfrac{5}{3}$
The area under the curve $y(x)=3e^{-5x}$ from $x=0 \text{ to } x=\infty$ is $\dfrac{3}{5}$ $\dfrac{-3}{5}$ ${5}$ $\dfrac{5}{3}$
asked
Apr 2, 2020
in
Others
Lakshman Patel RJIT
45
views
nielit2016mar-scientistc
non-gate
0
votes
0
answers
9
NIELIT 2016 MAR Scientist C - Section B: 14
Find the area bounded by the curve $y=\sqrt{5-x^{2}}$ and $y=\mid x-1 \mid$ $\dfrac{2}{0}(2\sqrt{6}-\sqrt{3})-\dfrac{5}{2}$ $\dfrac{2}{3}(6\sqrt{6}+3\sqrt{3})+\dfrac{5}{2}$ $2(\sqrt{6}-\sqrt{3})-5$ $\dfrac{2}{3}(\sqrt{6}-\sqrt{3})+5$
Find the area bounded by the curve $y=\sqrt{5-x^{2}}$ and $y=\mid x-1 \mid$ $\dfrac{2}{0}(2\sqrt{6}-\sqrt{3})-\dfrac{5}{2}$ $\dfrac{2}{3}(6\sqrt{6}+3\sqrt{3})+\dfrac{5}{2}$ $2(\sqrt{6}-\sqrt{3})-5$ $\dfrac{2}{3}(\sqrt{6}-\sqrt{3})+5$
asked
Apr 2, 2020
in
Others
Lakshman Patel RJIT
39
views
nielit2016mar-scientistc
non-gate
0
votes
0
answers
10
NIELIT 2016 MAR Scientist C - Section B: 15
The equation of the plane through the point $(-1,3,2)$ and perpendicular to each of the planes $x+2y+3z=5$ and $3x+3y+z=0$ is $7x-8y+3z+25=0$ $7x+8y+3z+25=0$ $7x-8y+3z-25=0$ $7x-8y-3z-25=0$
The equation of the plane through the point $(-1,3,2)$ and perpendicular to each of the planes $x+2y+3z=5$ and $3x+3y+z=0$ is $7x-8y+3z+25=0$ $7x+8y+3z+25=0$ $7x-8y+3z-25=0$ $7x-8y-3z-25=0$
asked
Apr 2, 2020
in
Others
Lakshman Patel RJIT
46
views
nielit2016mar-scientistc
non-gate
0
votes
0
answers
11
NIELIT 2016 MAR Scientist C - Section B: 18
Find the volume of the solid obtained by rotating the region bound by the curves $y=x^3+1, \: x=1$, and $y=0$ about the $x$-axis $\dfrac{23\pi}{7} \\$ $\dfrac{16\pi}{7} \\$ $2\pi \\$ $\dfrac{19\pi}{7}$
Find the volume of the solid obtained by rotating the region bound by the curves $y=x^3+1, \: x=1$, and $y=0$ about the $x$-axis $\dfrac{23\pi}{7} \\$ $\dfrac{16\pi}{7} \\$ $2\pi \\$ $\dfrac{19\pi}{7}$
asked
Apr 2, 2020
in
Others
Lakshman Patel RJIT
42
views
nielit2016mar-scientistc
non-gate
0
votes
1
answer
12
UGCNET-Dec2006-II: 49
Link analysis operation in data mining uses ___________ technique. Classification. Association discovery. Visualisation. Neural clustering.
Link analysis operation in data mining uses ___________ technique. Classification. Association discovery. Visualisation. Neural clustering.
answered
Apr 2, 2020
in
Others
immanujs
75
views
ugcnetdec2006ii
0
votes
1
answer
13
UGCNET-Dec2006-II: 50
The maximum size of SMS in $IS-95$ is ______ octets. $120$ $95$ $128$ $64$
The maximum size of SMS in $IS-95$ is ______ octets. $120$ $95$ $128$ $64$
answered
Apr 2, 2020
in
Others
immanujs
66
views
ugcnetdec2006ii
0
votes
0
answers
14
NIELIT 2016 MAR Scientist B - Section C: 33
In what module multiple instances of execution will yield the same result even if one instance has not terminated before the next one has begun? Non reusable module Serially usable Re-enterable module Recursive module
In what module multiple instances of execution will yield the same result even if one instance has not terminated before the next one has begun? Non reusable module Serially usable Re-enterable module Recursive module
asked
Mar 31, 2020
in
Others
Lakshman Patel RJIT
81
views
nielit2016mar-scientistb
non-gate
0
votes
0
answers
15
UGCNET-Dec2007-II: 49
Identify the incorrect statement : The internet has evolved into phenomenally successful e-commerce engine e-business is synonymous with e-commerce The e-commerce model $B2C$ did not begin with billboardware The e-commerce model $G2C$ began with billboardware
Identify the incorrect statement : The internet has evolved into phenomenally successful e-commerce engine e-business is synonymous with e-commerce The e-commerce model $B2C$ did not begin with billboardware The e-commerce model $G2C$ began with billboardware
asked
Mar 28, 2020
in
Others
jothee
73
views
ugcnetdec2007ii
0
votes
0
answers
16
UGCNET-Dec2007-II: 50
Identify the incorrect statement : ATM provides both real time and non-real time service ATM provides faster packet switching than $X.25$ ATM was developed as part of the work on broadband ISDN ATM does not have application in Non-ISDN environments where very high data rates are required
Identify the incorrect statement : ATM provides both real time and non-real time service ATM provides faster packet switching than $X.25$ ATM was developed as part of the work on broadband ISDN ATM does not have application in Non-ISDN environments where very high data rates are required
asked
Mar 28, 2020
in
Others
jothee
39
views
ugcnetdec2007ii
0
votes
0
answers
17
UGCNET-Dec2004-II: 50
The term $hacker$ was originally associated with : A computer program Virus Computer professionals who solved complex computer problems All of the above
The term $hacker$ was originally associated with : A computer program Virus Computer professionals who solved complex computer problems All of the above
asked
Mar 27, 2020
in
Others
jothee
32
views
ugcnetdec2004ii
0
votes
2
answers
18
NIELIT 2018-35
Baud rate measures the number of ____ transmitted per second Symbols Bits Byte None of these
Baud rate measures the number of ____ transmitted per second Symbols Bits Byte None of these
answered
Mar 18, 2020
in
Others
topper98
1.1k
views
nielit-2018
0
votes
1
answer
19
ISI2018-MMA-25
The solution of the differential equation $(1 + x^2y^2)ydx + (x^2y^2 − 1)xdy = 0$ is $xy = \log\ x − \log\ y + C$ $xy = \log\ y − \log\ x + C$ $x^2y^2 = 2(\log\ x − \log\ y) + C$ $x^2y^2 = 2(\log\ y − \log\ x) + C$
The solution of the differential equation $(1 + x^2y^2)ydx + (x^2y^2 − 1)xdy = 0$ is $xy = \log\ x − \log\ y + C$ $xy = \log\ y − \log\ x + C$ $x^2y^2 = 2(\log\ x − \log\ y) + C$ $x^2y^2 = 2(\log\ y − \log\ x) + C$
answered
Mar 15, 2020
in
Others
haralk10
200
views
isi2018-mma
non-gate
differential-equation
0
votes
1
answer
20
ISI2015-MMA-87
If $x(t)$ is a solution of $(1-t^2) dx -tx\: dt =dt$ and $x(0)=1$, then $x\big(\frac{1}{2}\big)$ is equal to $\frac{2}{\sqrt{3}} (\frac{\pi}{6}+1)$ $\frac{2}{\sqrt{3}} (\frac{\pi}{6}-1)$ $\frac{\pi}{3 \sqrt{3}}$ $\frac{\pi}{\sqrt{3}}$
If $x(t)$ is a solution of $(1-t^2) dx -tx\: dt =dt$ and $x(0)=1$, then $x\big(\frac{1}{2}\big)$ is equal to $\frac{2}{\sqrt{3}} (\frac{\pi}{6}+1)$ $\frac{2}{\sqrt{3}} (\frac{\pi}{6}-1)$ $\frac{\pi}{3 \sqrt{3}}$ $\frac{\pi}{\sqrt{3}}$
answered
Mar 14, 2020
in
Others
haralk10
104
views
isi2015-mma
differential-equation
non-gate
0
votes
1
answer
21
ISI2015-MMA-85
The differential equation of all the ellipses centred at the origin is $y^2+x(y’)^2-yy’=0$ $xyy’’ +x(y’)^2 -yy’=0$ $yy’’+x(y’)^2-xy’=0$ none of these
The differential equation of all the ellipses centred at the origin is $y^2+x(y’)^2-yy’=0$ $xyy’’ +x(y’)^2 -yy’=0$ $yy’’+x(y’)^2-xy’=0$ none of these
answered
Mar 14, 2020
in
Others
haralk10
95
views
isi2015-mma
differential-equation
ellipses
non-gate
0
votes
1
answer
22
ISI2015-DCG-42
In an ellipse, the distance between its foci is $6$ and its minor axis is $8$. hen its eccentricity is $\frac{4}{5}$ $\frac{1}{\sqrt{52}}$ $\frac{3}{5}$ $\frac{1}{2}$
In an ellipse, the distance between its foci is $6$ and its minor axis is $8$. hen its eccentricity is $\frac{4}{5}$ $\frac{1}{\sqrt{52}}$ $\frac{3}{5}$ $\frac{1}{2}$
answered
Mar 14, 2020
in
Others
haralk10
66
views
isi2015-dcg
geometry
ellipses
0
votes
1
answer
23
ISI2015-MMA-90
The differential equation of the system of circles touching the $y$-axis at the origin is $x^2+y^2-2xy \frac{dy}{dx}=0$ $x^2+y^2+2xy \frac{dy}{dx}=0$ $x^2-y^2-2xy \frac{dy}{dx}=0$ $x^2-y^2+2xy \frac{dy}{dx}=0$
The differential equation of the system of circles touching the $y$-axis at the origin is $x^2+y^2-2xy \frac{dy}{dx}=0$ $x^2+y^2+2xy \frac{dy}{dx}=0$ $x^2-y^2-2xy \frac{dy}{dx}=0$ $x^2-y^2+2xy \frac{dy}{dx}=0$
answered
Mar 14, 2020
in
Others
haralk10
85
views
isi2015-mma
differential-equation
non-gate
0
votes
1
answer
24
ISI2015-MMA-70
Let $w=\log(u^2 +v^2)$ where $u=e^{(x^2+y)}$ and $v=e^{(x+y^2)}$. Then $\frac{\partial w }{\partial x} \mid _{x=0, y=0}$ is $0$ $1$ $2$ $4$
Let $w=\log(u^2 +v^2)$ where $u=e^{(x^2+y)}$ and $v=e^{(x+y^2)}$. Then $\frac{\partial w }{\partial x} \mid _{x=0, y=0}$ is $0$ $1$ $2$ $4$
answered
Mar 14, 2020
in
Others
haralk10
107
views
isi2015-mma
partial-derivatives
non-gate
0
votes
1
answer
25
ISI2014-DCG-59
The equation $5x^2+9y^2+10x-36y-4=0$ represents an ellipse with the coordinates of foci being $(\pm3,0)$ a hyperbola with the coordinates of foci being $(\pm3,0)$ an ellipse with the coordinates of foci being $(\pm2,0)$ a hyperbola with the coordinates of foci being $(\pm2,0)$
The equation $5x^2+9y^2+10x-36y-4=0$ represents an ellipse with the coordinates of foci being $(\pm3,0)$ a hyperbola with the coordinates of foci being $(\pm3,0)$ an ellipse with the coordinates of foci being $(\pm2,0)$ a hyperbola with the coordinates of foci being $(\pm2,0)$
answered
Mar 12, 2020
in
Others
haralk10
73
views
isi2014-dcg
hyperbola
ellipses
non-gate
2
votes
3
answers
26
ISRO2011-64
When n-type semiconductor is heated? number of electrons increases while that of holes decreases number of holes increases while that of electrons decreases number of electrons and holes remain the same number of electron and holes increases equally
When n-type semiconductor is heated? number of electrons increases while that of holes decreases number of holes increases while that of electrons decreases number of electrons and holes remain the same number of electron and holes increases equally
answered
Jan 7, 2020
in
Others
midhunraj
2.2k
views
isro2011
semiconductor
non-gate
2
votes
2
answers
27
ISRO2018-75
ln neural network, the network capacity is defined as: The traffic (tarry capacity of the network The total number of nodes in the network The number of patterns that can be stored and recalled in a network None of the above
ln neural network, the network capacity is defined as: The traffic (tarry capacity of the network The total number of nodes in the network The number of patterns that can be stored and recalled in a network None of the above
answered
Jan 3, 2020
in
Others
`JEET
1k
views
isro2018
non-gate
neural-network
2
votes
1
answer
28
$\textbf{NTA NET DC 2019}$
The following multithreaded algorithm computes transpose of a matrix in parallel : $\mathrm P$ Trans $\mathrm{(X,Y,N)}$ if $\mathrm {N=1}$ then $\mathrm {Y[1,1] \leftarrow X[1,1]}$ else partition $\mathrm X$ into four $\mathrm {(N/2) \times (N/2)}$ ... $ \mathrm{4) T_1/ T_\infty \; or \; \theta (\lg N/N)}$
The following multithreaded algorithm computes transpose of a matrix in parallel : $\mathrm P$ Trans $\mathrm{(X,Y,N)}$ if $\mathrm {N=1}$ then $\mathrm {Y[1,1] \leftarrow X[1,1]}$ else partition $\mathrm X$ into four $\mathrm {(N/2) \times (N/2)}$ ... $ \mathrm{4) T_1/ T_\infty \; or \; \theta (\lg N/N)}$
answered
Dec 28, 2019
in
Others
`JEET
356
views
multithreading-algorithms
0
votes
0
answers
29
NTA NET DEC 2019 (Genetic algorithm)
Let the population of chromosomes in genetic algorithm is represented in terms of binary number. The strength of fitness of a chromosome in decimal form x, is given by S f(x) = f(x)/Σf(x) where f(x) = x^2 The population is given by P Where : P = ... 11000),(01000),(10011)} The strength of fitness of chromosomes (11000) is ___________ 1) 24 2) 576 3) 14.4 4) 49.2
Let the population of chromosomes in genetic algorithm is represented in terms of binary number. The strength of fitness of a chromosome in decimal form x, is given by S f(x) = f(x)/Σf(x) where f(x) = x^2 The population is given by P Where : P = {(01101 , (11000),(01000),(10011)} The strength of fitness of chromosomes (11000) is ___________ 1) 24 2) 576 3) 14.4 4) 49.2
asked
Dec 22, 2019
in
Others
Sanjay Sharma
1.4k
views
artificial-intelligence-genetic-algo
2
votes
2
answers
30
ISRO2018-79
A doubly linked list is declared as: struct Node { int Value; struct Node *Fwd; struct Node *Bwd; }; Where Fwd and Bwd represent forward and backward link to the adjacent elements of the list. Which of the following segment of code deletes the node pointed to by ... Bwd = X.Bwd; X$\rightarrow$Bwd$\rightarrow$Fwd = X$\rightarrow$Bwd; X$\rightarrow$Fwd$\rightarrow$Bwd = X$\rightarrow$Fwd;
A doubly linked list is declared as: struct Node { int Value; struct Node *Fwd; struct Node *Bwd; }; Where Fwd and Bwd represent forward and backward link to the adjacent elements of the list. Which of the following segment of code deletes the node pointed to by $X$ ... Fwd.Bwd = X.Bwd; X$\rightarrow$Bwd$\rightarrow$Fwd = X$\rightarrow$Bwd; X$\rightarrow$Fwd$\rightarrow$Bwd = X$\rightarrow$Fwd;
answered
Dec 16, 2019
in
Others
Sarang
3.7k
views
isro2018
linked-lists
data-structures
2
votes
2
answers
31
ISI2015-MMA-50
Let ... $V_3<V_2<V_1$ $V_3<V_1<V_2$ $V_1<V_2<V_3$ $V_2<V_3<V_1$
Let $\begin{array}{} V_1 & = & \frac{7^2+8^2+15^2+23^2}{4} – \left( \frac{7+8+15+23}{4} \right) ^2, \\ V_2 & = & \frac{6^2+8^2+15^2+24^2}{4} – \left( \frac{6+8+15+24}{4} \right) ^2 , \\ V_3 & = & \frac{5^2+8^2+15^2+25^2}{4} – \left( \frac{5+8+15+25}{4} \right) ^2 . \end{array}$ Then $V_3<V_2<V_1$ $V_3<V_1<V_2$ $V_1<V_2<V_3$ $V_2<V_3<V_1$
answered
Nov 25, 2019
in
Others
techbd123
151
views
isi2015-mma
inequality
non-gate
1
vote
2
answers
32
UGCNET-July-2018-II: 83
The following LLP $\text{Maximize } z=100x_1 +2x_2+5x_3$ Subject to $14x_1+x_2-6x_33+3x_4=7$ $32x_1+x_2-12x_3 \leq 10$ $3x_1-x_2-x_3 \leq 0$ $x_1, x_2, x_3, x_4 \geq 0$ has Solution : $x_1=100, \: x_2=0, \: x_3=0$ Unbounded solution No solution Solution : $x_1=50, \: x_2=70, \: x_3=60$
The following LLP $\text{Maximize } z=100x_1 +2x_2+5x_3$ Subject to $14x_1+x_2-6x_33+3x_4=7$ $32x_1+x_2-12x_3 \leq 10$ $3x_1-x_2-x_3 \leq 0$ $x_1, x_2, x_3, x_4 \geq 0$ has Solution : $x_1=100, \: x_2=0, \: x_3=0$ Unbounded solution No solution Solution : $x_1=50, \: x_2=70, \: x_3=60$
answered
Nov 14, 2019
in
Others
Arun Kumar Dey
978
views
ugcnetjuly2018ii
llp
linear-programming
0
votes
1
answer
33
ISI2015-DCG-44
If the distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt{2}$, then the equation of the hyperbola is $y^2-x^2=32$ $x^2-y^2=16$ $y^2-x^2=16$ $x^2-y^2=32$
If the distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt{2}$, then the equation of the hyperbola is $y^2-x^2=32$ $x^2-y^2=16$ $y^2-x^2=16$ $x^2-y^2=32$
answered
Nov 10, 2019
in
Others
`JEET
66
views
isi2015-dcg
geometry
hyperbola
0
votes
1
answer
34
ISI2014-DCG-49
Let $f(x) = \dfrac{x}{(x-1)(2x+3)}$, where $x>1$. Then the $4^{th}$ derivative of $f, \: f^{(4)} (x)$ is equal to $- \frac{24}{5} \bigg[ \frac{1}{(x-1)^5} - \frac{48}{(2x+3)^5} \bigg]$ ... $\frac{64}{5} \bigg[ \frac{1}{(x-1)^5} + \frac{48}{(2x+3)^5} \bigg]$
Let $f(x) = \dfrac{x}{(x-1)(2x+3)}$, where $x>1$. Then the $4^{th}$ derivative of $f, \: f^{(4)} (x)$ is equal to $- \frac{24}{5} \bigg[ \frac{1}{(x-1)^5} – \frac{48}{(2x+3)^5} \bigg]$ $\frac{24}{5} \bigg[ – \frac{1}{(x-1)^5} + \frac{48}{(2x-3)^5} \bigg]$ $\frac{24}{5} \bigg[ \frac{1}{(x-1)^5} + \frac{48}{(2x+3)^5} \bigg]$ $\frac{64}{5} \bigg[ \frac{1}{(x-1)^5} + \frac{48}{(2x+3)^5} \bigg]$
answered
Oct 24, 2019
in
Others
`JEET
148
views
isi2014-dcg
calculus
differentiation
functions
1
vote
1
answer
35
ISI2015-MMA-54
If $0 <x<1$, then the sum of the infinite series $\frac{1}{2}x^2+\frac{2}{3}x^3+\frac{3}{4}x^4+ \cdots$ is $\log \frac{1+x}{1-x}$ $\frac{x}{1-x} + \log(1+x)$ $\frac{1}{1-x} + \log(1-x)$ $\frac{x}{1-x} + \log(1-x)$
If $0 <x<1$, then the sum of the infinite series $\frac{1}{2}x^2+\frac{2}{3}x^3+\frac{3}{4}x^4+ \cdots$ is $\log \frac{1+x}{1-x}$ $\frac{x}{1-x} + \log(1+x)$ $\frac{1}{1-x} + \log(1-x)$ $\frac{x}{1-x} + \log(1-x)$
answered
Oct 19, 2019
in
Others
chirudeepnamini
205
views
isi2015-mma
summation
non-gate
1
vote
1
answer
36
ISI2014-DCG-57
If a focal chord of the parabola $y^2=4ax$ cuts it at two distinct points $(x_1,y_1)$ and $(x_2,y_2)$, then $x_1x_2=a^2$ $y_1y_2=a^2$ $x_1x_2^2=a^2$ $x_1^2x_2=a^2$
If a focal chord of the parabola $y^2=4ax$ cuts it at two distinct points $(x_1,y_1)$ and $(x_2,y_2)$, then $x_1x_2=a^2$ $y_1y_2=a^2$ $x_1x_2^2=a^2$ $x_1^2x_2=a^2$
answered
Oct 10, 2019
in
Others
`JEET
59
views
isi2014-dcg
parabola
non-gate
0
votes
1
answer
37
ISI2014-DCG-40
Let the following two equations represent two curves $A$ and $B$. $A: 16x^2+9y^2=144\:\: \text{and}\:\: B:x^2+y^2-10x=-21$ Further, let $L$ and $M$ be the tangents to these curves $A$ and $B$, respectively, at the point $(3,0)$. Then the angle between these two tangents, $L$ and $M$, is $0^{\circ}$ $30^{\circ}$ $45^{\circ}$ $90^{\circ}$
Let the following two equations represent two curves $A$ and $B$. $A: 16x^2+9y^2=144\:\: \text{and}\:\: B:x^2+y^2-10x=-21$ Further, let $L$ and $M$ be the tangents to these curves $A$ and $B$, respectively, at the point $(3,0)$. Then the angle between these two tangents, $L$ and $M$, is $0^{\circ}$ $30^{\circ}$ $45^{\circ}$ $90^{\circ}$
answered
Oct 10, 2019
in
Others
techbd123
53
views
isi2014-dcg
curves
1
vote
1
answer
38
ISI2015-MMA-21
Let $\omega$ denote a complex fifth root of unity. Define $b_k =\sum_{j=0}^{4} j \omega^{-kj},$ for $0 \leq k \leq 4$. Then $ \sum_{k=0}^{4} b_k \omega ^k$ is equal to $5$ $5 \omega$ $5(1+\omega)$ $0$
Let $\omega$ denote a complex fifth root of unity. Define $b_k =\sum_{j=0}^{4} j \omega^{-kj},$ for $0 \leq k \leq 4$. Then $ \sum_{k=0}^{4} b_k \omega ^k$ is equal to $5$ $5 \omega$ $5(1+\omega)$ $0$
answered
Oct 9, 2019
in
Others
techbd123
194
views
isi2015-mma
complex-number
non-gate
1
vote
1
answer
39
ISI2014-DCG-14
$x^4-3x^2+2x^2y^2-3y^2+y^4+2=0$ represents A pair of circles having the same radius A circle and an ellipse A pair of circles having different radii none of the above
$x^4-3x^2+2x^2y^2-3y^2+y^4+2=0$ represents A pair of circles having the same radius A circle and an ellipse A pair of circles having different radii none of the above
answered
Sep 30, 2019
in
Others
techbd123
70
views
isi2014-dcg
circle
ellipses
0
votes
0
answers
40
ISI2015-MMA-56
Let $\{a_n\}$ be a sequence of non-negative real numbers such that the series $\Sigma_{n=1}^{\infty} a_n$ is convergent. If $p$ is a real number such that the series $\Sigma \frac{\sqrt{a_n}}{n^p}$ diverges, then $p$ must be strictly less than $\frac{1}{2}$ ... but can be greater than$\frac{1}{2}$ $p$ must be strictly less than $1$ but can be greater than or equal to $\frac{1}{2}$
Let $\{a_n\}$ be a sequence of non-negative real numbers such that the series $\Sigma_{n=1}^{\infty} a_n$ is convergent. If $p$ is a real number such that the series $\Sigma \frac{\sqrt{a_n}}{n^p}$ diverges, then $p$ must be strictly less than $\frac{1}{2}$ $p$ must be ... $1$ but can be greater than$\frac{1}{2}$ $p$ must be strictly less than $1$ but can be greater than or equal to $\frac{1}{2}$
asked
Sep 23, 2019
in
Others
Arjun
125
views
isi2015-mma
convergence-divergence
non-gate
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