Mathematics (AS & A Level) · Oct / Nov 2022 · Paper 13 · Question 4
9709
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A large industrial water tank is such that, when the depth of the water in the tank is x metres, the volume V m3 of water in the tank is given by V = 243 −1 39 −x 3. Water is being pumped into the tank at a constant rate of 3.6m3 per hour. Find the rate of increase of the depth of the water when the depth is 4m, giving your answer in cm per minute. [5]
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