For the function $f(x)=2x^{3}-9x^{2}+12x-5$, $x\in[0,3]$, match List-I with List-II:
| List-I | List-II | ||||||||
|---|---|---|---|---|---|---|---|---|---|
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Two dice are thrown simultaneously. If X denotes the number of fours, then the expectation of X will be:
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If a function $f(x)=x^{2}+bx+1$ is increasing in the interval $[1,2]$, then the least value of $b$ is:
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If A is a square matrix of order $4$ and |A|=4, then |2A| will be:
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The degree of the differential equation $\left(1-\left(\dfrac{dy}{dx}\right)^2\right)^{3/2}=k\dfrac{d^2y}{dx^2}$ is:
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The second order derivative of which of the following functions is $5^x$?
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$\displaystyle \int_{0}^{1}\frac{a-bx^{2}}{\left(a+bx^{2}\right)^{2}}dx\ \text{is:}$
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$\displaystyle \int \frac{\pi}{x^{n+1}-x}dx=$
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A die is rolled thrice. What is the probability of getting a number greater than 4
in the first and second throw of the…
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The rate of change (in $\text{cm}^2/\text{s}$) of the total surface area of a hemisphere with respect to radius $r$ at …
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The area of the region bounded by the lines $\dfrac{x}{7\sqrt{3}a}+\dfrac{y}{b}=4$, $x=0$ and $y=0$ is:
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If $A$ is a square matrix and $I$ is an identity matrix such that $A^{2}=A$, then $A(I-2A)^{3}+2A^{3}$ is equal to:
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The value of the integral $\displaystyle \int_{\log_{e}2}^{\log_{e}3}\frac{e^{2x}-1}{e^{2x}+1},dx$ is:
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If $\vec a,\ \vec b$ and $\vec c$ are three vectors such that $\vec a+\vec b+\vec c=\vec 0$, where $\vec a$ and $\vec b…
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Match List-I with List-II :
List-I
List-II
(A) $|x-1|+|x-2|$
(I) is differe…
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Match List-I with List-II :
List-I
List-II
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If the function $f:\mathbb{N}\to\mathbb{N}$ is defined as $$f(x)=\begin{cases}{n-1} & {,\, If\, \, n\, \, is\, \, e…
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If the random variable $X$ has the following distribution :
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