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If volume of water in a tank increases with time as per the equation, \( V = t ^{3}- t ^{2}+2 \) where volume is in litre and time is in second, then rate of change of volume at \( t=3 sec \) will be:- (1) \( 20 l / s \) (2) \( 21 l / s \) (3) \( 22 l/s \) (4) \( 23 l / s \) |
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Answer» Correct option is (2) \( 21 \,l/s\) Given Volume \(V = t^3 - t^2 + 2\) \(\left(\frac{dV}{dt}\right) = 3t^2 - 2t\) at \(t = 3\) \(\left(\frac{dV}{dt}\right) = 27 - 6\) \(\frac{dv}{dt} = 21 \,l/s\) |
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