Year 12 Specialist (Unit 3 & 4)
Rates of change and differential equations
Differential equations with related rates
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Question 1
196919
A water tank has a uniform cross-sectional area of \(5\text{ m}^2\), so the volume is \(V=5h\), where \(h\text{ m}\) is the depth. Water is pumped out at the constant rate \(\dfrac{dV}{dt}=-15\text{ m}^3\text{/min}\). Find the rate \(\dfrac{dh}{dt}\) at which the depth is falling.
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