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GATE2014-29

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Milicevic3306 asked Mar 26, 2018
GATE2016-GA-10
Which of the following curves represents the function $y = \ln (\mid e^{ [ \mid \sin ( \mid x \mid ) \mid ]} \mid )$ for $\mid x \mid < 2 \pi$?. Here, $x$ represents the abscissa and $y$ represents the ordinate.
Which of the following curves represents the function $y = \ln (\mid e^{ [ \mid \sin ( \mid x \mid ) \mid ]} \mid )$ for $\mid x \mid < 2 \pi$?. Here, $x$ represents the ...
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2
Milicevic3306 asked Mar 25, 2018
GATE2014-4
The limit of the function $e^{-2t}\sin (t)$ as t $\rightarrow\infty$ so, is
The limit of the function $e^{-2t}\sin (t)$ as t $\rightarrow\infty$ so, is
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3
Milicevic3306 asked Mar 25, 2018
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)$$e^x(1 + \log x)$
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4
Milicevic3306 asked Mar 25, 2018
GATE2014-28
Which of the following statements is true for the series given below? $S_n=1+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{4}}+\dots+\frac{1}{\sqrt{n}} $ $S_n$ converges to $\log(\sqrt{n})$ $S_n$ converges to $\sqrt{n}$ $S_n$ converges to $\exp(\sqrt{n})$ $S_n$ diverges
Which of the following statements is true for the series given below?$$S_n=1+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{4}}+\dots+\frac{1}{\sqrt{n}} $$$S_n$ con...
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5
go_editor asked Mar 1, 2021
GATE BT 2021 | Question: 5
The Cartesian coordinates $(x,y)$ of a point $A$ with polar coordinates $\left ( 4, \pi/4 \right)$ is $ \left( \sqrt{3}, 2 \sqrt{2} \right ) \\$ $ \left( 2, 2 \sqrt{3} \right ) \\$ $ \left( 2\sqrt{2}, \sqrt{3} \right ) \\$ $ \left( 2 \sqrt{2}, 2 \sqrt{2} \right )$
The Cartesian coordinates $(x,y)$ of a point $A$ with polar coordinates $\left ( 4, \pi/4 \right)$ is$ \left( \sqrt{3}, 2 \sqrt{2} \right ) \\$$ \left( 2, 2 \sqrt{3} \rig...
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