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The volume V and depth x of water in a v...

The volume V and depth x of water in a vessel are connected by the relation `V=5x-x^2/6` and the volume of water is increasing at the rate of `5cm^3//sec` when x=2cm. The rate at which the depth of water is increasing , is: a)`5/18cm//sec` b)`1/4cm//sec` c)`5/16cm//sec` d)`15/13cm//sec`

A

`5/18cm//sec`

B

`1/4cm//sec`

C

`5/16cm//sec`

D

`15/13cm//sec`

Text Solution

Verified by Experts

The correct Answer is:
D
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