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Recent questions tagged functions

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GATE Mechanical 2023 | Question: 2
The figure shows the plot of a function over the interval $[-4,4]$. Which one of the options given $\text{CORRECTLY}$$ identifies the function?$|2-x|$$|2-| x||$$|2+| x||$...
9 9 votes
2 2 answers
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GATE Mechanical 2022 Set 2 | GA | Question: 3
If $f\left ( x \right ) = 2 \:\ln \left ( \sqrt{e^{x}} \right )$, what is the area bounded by $f\left ( x \right )$ for the interval $\left [ 0,2 \right ]$ on the $x$ – a...
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4 4 votes
2 answers 2 answers
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GATE Mechanical 2022 Set 2 | GA | Question: 8
Consider the following for non-zero positive integers, $p$ and $q$.$f\left ( p, q \right ) = \frac{p\times p\times p\times \cdots\: \cdots\: \cdots \times p \:= \:p^{q}}{...
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6 6 votes
2 answers 2 answers
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GATE Mechanical 2020 Set 1 | GA | Question: 5
Define $[x]$ as the greatest integer less than or equal to $x$, for each $x\in \left (- \infty, \infty \right ).$ If $y = [x]$, then area under $y$ for $x\in \left [ 1,4 ...
8 8 votes
3 answers 3 answers
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GATE Mechanical 2020 Set 1 | GA | Question: 9
Select the graph that schematically represents BOTH $y=x^{m}\:\text{and}\:y=x^{1/m}$ properly in the interval $0\leq x \leq 1$, for integer values of $m,$ where $m 1.$
21 21 votes
2 answers 2 answers
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GATE Mechanical 2016 Set 2 | GA | Question: 10
Which of the following curves represents the function $ln(|e^{[|\sin(|x|)]}|)$ for $\mid x\mid< 2\pi$? Here, $x$ represents the abscissa and $y$ represents the ordinate.
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327
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GATE Mechanical 2014 Set 4 | GA | Question: 4
Let $f(x,y)=x^n y^m=P$ If $x$ is doubled and $y$ is halved, the new value of $f$ is$2^{n-m}P$$2^{m-n}P$$2(n-m)P$$2(m-n)P$
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279
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GATE Mechanical 2014 Set 3 | Question: 29
The real root of the equation $5x − 2 \cos x −1 = 0$ (up to two decimal accuracy) is _______
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359
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GATE ME 2013 | Question: 25
Choose the CORRECT set of functions, which are linearly dependent.$\sin x , \sin^2 x$ and $\cos^2 x$$\cos x , \sin x$ and $\tan x$$\cos 2x, \sin^2 x$ and $\cos^2 x$$\cos ...
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