A water tank leaks water at a rate proportional to the square root of the volume V of water remaining. The differential equation is:
A water tank leaks water at a rate proportional to the square root of the volume V of water remaining. The differential equation is:
- A. dV/dt = k√V
- B. dV/dt = −k√V
- C. dV/dt = −k/V
- D. dV/dt = −k V²
Answer: B) dV/dt = −k√V
Explanation: Leaking means the volume is decreasing over time. Proportional to square root of V means dV/dt = −k√V (where k is a positive constant).
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