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Recent questions tagged isi2017-mmamma

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ISI2017-MMA-1
The area lying in the first quadrant and bounded by the circle $x^2+y^2=4$ and lines $x=0 \text{ and } x=1$ is given by$\frac{\pi}{3}+\frac{\sqrt{3}}{2}$\frac{\pi}{6}+ ... $\frac{\pi}{6}+\frac{\sqrt{3}}{2}$
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ISI2017-MMA-3
If $\alpha, \beta$ and $\gamma$ are the roots of the equation $x^3+3x^2-8x+1=0$, then an equation whose roots are $\alpha+1, \beta+1$ and $\gamma+1$ is given by $y^3-11y+11=0$y^3-11y-11=0$y^3+13y+13=0$y^3+6y^2+y-3=0$
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ISI2017-MMA-7
Let $n \geq 3$ be an integer. Then the statement $(n!)^{1/n} \leq \dfrac{n+1}{2}$ istrue for every $n \geq 3$true if and only if $n \geq 5$not true for $n \geq 10$true for even integers $n \geq 6$, not true for odd $n \geq 5$
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ISI2017-MMA-9
A function $y(x)$ that satisfies $\dfrac{dy}{dx}+4xy=x$ with the boundary condition $y(0)=0$ is$y(x)=(1-e^x)$y(x)=\frac{1}{4}(1-e^{-2x^2})$y(x)=\frac{1}{4}(1-e^{2x^2})$y(x)=\frac{1}{4}(1-\cos x)$
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