A) \[\frac{5}{18}cm/\sec \]
B) \[\frac{1}{4}cm/\sec \]
C) \[\frac{5}{16}cm/\sec \]
D) None of these
Correct Answer: D
Solution :
\[V=5x-\frac{{{x}^{2}}}{6}\Rightarrow \frac{dV}{dt}=5\frac{dx}{dt}-\frac{x}{3}.\frac{dx}{dt}\] Þ \[\frac{dx}{dt}=\frac{\frac{dV}{dt}}{\left( 5-\frac{x}{3} \right)}\Rightarrow {{\left( \frac{dx}{dt} \right)}_{x=2}}=\frac{5}{5-\frac{2}{3}}=\frac{15}{13}cm/\sec \].You need to login to perform this action.
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