GATE BT 2021 | Question: 23

go_editor asked in Calculus Mar 1, 2021 recategorized Apr 11, 2021 by Lakshman Patel RJIT

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The value of $\underset{x \to 0} \lim \left [ \dfrac{x- \sin 2x}{x-\sin 5x} \right]$ (rounded off to two decimal places) is __________

gatebt-2021
numerical-answers
calculus
limits

go_editor asked in Calculus Mar 1, 2021 recategorized Apr 11, 2021 by Lakshman Patel RJIT

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go_editor asked in Calculus Mar 1, 2021

GATE BT 2021 | Question: 20
The sum of the infinite geometric series $1 + 1/3 + 1/3^2+ 1/3^3+ \dots$ (rounded off to one decimal place) is ___________

go_editor asked in Calculus Mar 1, 2021

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gatebt-2021
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go_editor asked in Calculus Mar 1, 2021

GATE BT 2021 | Question: 41
If the area of a triangle with the vertices $(k,0), (2,0)$ and $(0, -2)$ is $2$ square units, the value of $k$ is _________

go_editor asked in Calculus Mar 1, 2021

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1.4k points

gatebt-2021
numerical-answers
calculus
geometry
triangles
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go_editor asked in Calculus Mar 1, 2021

GATE BT 2021 | Question: 49
Calculate the following integral $\int \limits_0^{\pi^2/4} \sin \sqrt{x} dx =$____________.

go_editor asked in Calculus Mar 1, 2021

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1.4k points

gatebt-2021
numerical-answers
calculus
definite-integrals

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go_editor asked in Calculus 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 )$

go_editor asked in Calculus Mar 1, 2021

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gatebt-2021
calculus
cartesian-coordinates

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go_editor asked in Calculus Mar 1, 2021

GATE BT 2021 | Question: 8
$\dfrac{d}{dx} \left [ \ln (2x) \right ]$ is equal to $1/2x \\$ $1/x \\$ $1 /2 \\$ $x$

go_editor asked in Calculus Mar 1, 2021

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1.4k points

gatebt-2021
calculus
derivatives

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