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GATE2020: 50
soujanyareddy13
asked
in
Calculus
Nov 3, 2020
recategorized
Mar 18, 2021
by
Lakshman Patel RJIT
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A function $f$ is given as :
$$f(X)=4X-X^{2}$$
The function $f$ is maximized when $X$ is equal to _________________.
gate2020
numerical-answers
calculus
maxima-minima
soujanyareddy13
asked
in
Calculus
Nov 3, 2020
recategorized
Mar 18, 2021
by
Lakshman Patel RJIT
by
soujanyareddy13
2.7k
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GATE2020: 51
An infinite series $S$ is given as: $S=1+2/3+3/9+4/27+5/81+\:.\dots$ (to infinity) The value of $S$ is ______________________ (round off to $2$ decimal places).
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GATE2020: 17
A function $f$ is as follows: $f(x) = \begin{cases} 15 & \text{if }x<1 \\ cx& \text{if } x\geq 1 \end{cases}$ The function $f$ is a continuous function when $c$ is equal to ____________________ (answer in an integer).
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go_editor
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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 ___________
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Mar 1, 2021
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1.4k
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GATE BT 2021 | Question: 23
The value of $\underset{x \to 0} \lim \left [ \dfrac{x- \sin 2x}{x-\sin 5x} \right]$ (rounded off to two decimal places) is __________
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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 _________
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