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Suppose p(x) is a polynomial and that p(x) - p'(x) = x^2 + 2x +1. Compute p(5). ...
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make me the admin . i will add my full intelligence to this website ...
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Find\; maximum\; value\; of \frac{\Delta ^3}{abc(a+b-c)(b+c-a)(c+a-b)} ...
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There are two urns each containing an arbitrary number of balls. We are allowed two types of operations: (a) remove an equal number of balls simultaneously from both the urns, (b) double the number of balls in any of them Sho ...
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(1) If |z - 25 /z - 5| = 5 then find |z| = ...
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(1) Find value of \left[\frac{2010!}{2009!+2008!+2007!..............3!+2!+1!} \right] where \left[. \right] G.I.F ...
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$Calculate $\int_{0}^{\infty}\frac{tan^{-1}(\frac{x}{3})+tan^{-1}(3x)}{1+x^2}dx$ = ...
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$\textbf{Find no. of integral values of $\mathbf{a}$ such that\\\\ $\mathbf{\sqrt{9-a^2+2ax-x^2}>\sqrt{16-x^2}$}}$\\\\ $\textbf{for atleast one positive Real value of $\mathbf{x}$}.$ ...
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$\textbf{Find all Matrices $\mathbf{A}$ of order $\mathbf{2\times 2}$ that satisfies the equation}\\\\ \textbf{(i)}::$\mathbf{A^2=A}$\\\\ \textbf{(ii)}::$\mathbf{A^3=A}$\\\\ These are two different Questions. ...
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\textbf{Solve system of equations }\textbf{\begin{cases} x^4+y^4+6x^2y^2=8 \\ x^3+3xy^2=x^2+y^2+2 \end{cases}} ...
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$\textbf{If $\mathbf{x=\left(\frac{\sqrt{\sqrt{2}+\frac{1}{8}}}{2}-\frac{\sqrt{2}}{8}\right)}$. Then Calculate value of $\mathbf{A=x^2+\sqrt{x^2+x+1}}$} ...
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if, a2 + b2 + c2 = ab + bc + ac then find the relation between a,b and c for real values of a,b and c. sitter question no doubt... ...
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$\textbf{Solve Inequality:}\\\\ $\mathbf{3^x+4^x+6^x+8^x+15^x=5^x+9^x+10^x+12^x\forall x\in\mathbb{R} } ...
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There were an electrician and a plumber waiting in line for admission to the Home Show. One of them was the father of the other's son. How could this be possible? ...
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share some computer tricks ...
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http://www.shaastra.org/2010/main/events/online_events/online_puzzle_championship ...
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\mathbf{\int\frac{dx}{(x+2)^5(x+3)^3}=}$ ...
