The volume V and depth x of water in a vessel are connected by the relation \[V=5x-\frac{{{x}^{2}}}{6}\]and the volume of water is increasing at the rate of \[5c{{m}^{3}}/\sec \], when \[x=2cm\]. The rate at which the depth of water is increasing, is

The volume V and depth x of water in a vessel are connected by the rel

1.	The volume V and depth x of water in a vessel are connected by the relation \[V=5x-\frac{{{x}^{2}}}{6}\]and the volume of water is increasing at the rate of \[5c{{m}^{3}}/\sec \], when \[x=2cm\]. The rate at which the depth of water is increasing, is
A.	\[\frac{5}{18}cm/\sec \]
B.	\[\frac{1}{4}cm/\sec \]
C.	\[\frac{5}{16}cm/\sec \]
D.	None of these
Answer» E.

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The volume V and depth x of water in a vessel are connected by the relation \[V=5x-\frac{{{x}^{2}}}{6}\]and the volume of water is increasing at the rate of \[5c{{m}^{3}}/\sec \], when \[x=2cm\]. The rate at which the depth of water is increasing, is

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