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Q)

\( N=\sqrt { 1+1/{ 1 }^{ 2 }+1/2^{ 2 } } +\sqrt { 1+1/{ 2 }^{ 2 }+1/3^{ 2 } } +\quad ......+\sqrt { 1+1/{ 2014 }^{ 2 }+1/2015^{ 2 } } \)

Find the integral ...

A and B bet on the outcomes of the successive toss of a coin. On each toss, if the coin shows a head, A gets one rupee from B, whereas ...

Out of 30 consecutive integers, three are selected at random. Find the chance that their sum is divisible by 3.

The damping force on an oscillator is directly proportional to the velocity. The units of proportionality constant are:

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