GATE IN 2012
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Given that $$A = \left[ {\matrix{ { - 5} &amp; { - 3} \cr 2 &amp; 0 \cr } } \right]$$ and $${\rm I} = \left[ View Question The maximum value of$$f\left( x \right) = {x^3} - 9{x^2} + 24x + 5$$in the interval$$\left[ {1,6} \right]$$is View Question The direction of vector$$A$$is radially outward from the origin, with$$\left| A \right| = K\,{r^n}$$where$${r^2} =
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Two independent random variables $$X$$ and $$Y$$ are uniformly distributed in the interval $$\left[ { - 1,1} \right].$$
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A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd
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With initial condition $$x\left( 1 \right)\,\,\, = \,\,\,\,0.5,\,\,\,$$ the solution of the differential equation, $$\,\ View Question If$$x\left[ N \right] = {\left( {1/3} \right)^{\left| n \right|}} - {\left( {1/2} \right)^n}\,u\left[ n \right],$$then View Question The unilateral Laplace transform of$$f(t)$$is$$\,{1 \over {{s^2} + s + 1}}.$$The unilateral Laplace transform of$$
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Consider the differential equation {{{d^2}y\left( t \right)} \over {d{t^2}}} + 2{{dy\left( t \right)} \over {dt}} + y
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