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MHT CET 2023 Mathematics question

MathematicsDifferential EquationMHT CET 2023

Water flows from the base of rectangular tank, of depth 16 meters. The rate of flow of the water is proportional to the square root of depth at any time t. If depth is 4m. when t = 2 hours, then after 3.5 hours the depth (in meters) is

Answer: (B)

Solution

Let be the depth at time hours. The depth falls at a rate proportional to : . Separate: . At , : . At , : . So

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Question ID VK-097337