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GATE IN 2008

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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$$\,\mathop {Lim}\limits_{x \to 0} {{\sin x} \over x}\,\,\,$$ is
Given $$y = {x^2} + 2x + 10\,\,\,$$ the value of $$\,\,{\left. {{{dy} \over {dx}...
The expression $${e^{ - ln\,x}}$$ for $$x > 0$$ is equal to
Consider the function $$\,\,y = {x^2} - 6x + 9.\,\,\,$$ The maximum value of $$y...
Consider a Gaussian distributed random variable with zero mean and standard devi...
A random variable is uniformly distributed over the interval $$2$$ to $$10.$$ It...
$${P_x}\left( X \right) = M{e^{\left( { - 2\left| x \right|} \right)}} + N{e^{\l...
Consider the differential equation $${{dy} \over {dx}} = 1 + {y^2}.$$ Which one...
It is known that two roots of the non-linear equation $$\,{x^3} - 6{x^2} + 11x -...

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