18. Sand is falling into a cylindrical tank at a rate of 15 cubic feet per...
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18. Sand is falling into a cylindrical tank at a rate of 15 cubic feet per minute. The radius of the tank is 4 feet. At what rate is the height of the pile changing when it is 10 feet high? 19. A particle is moving on the curve x²y = 1. As it passes through the point (2,1/4), the x- coordinate is increasing at a rate of 2 units per second. At what rate is the y-coordinate changing at that time? 18. Sand is falling into a cylindrical tank at a rate of 15 cubic feet per minute. The radius of the tank is 4 feet. At what rate is the height of the pile changing when it is 10 feet high? 19. A particle is moving on the curve x²y = 1. As it passes through the point (2,1/4), the x- coordinate is increasing at a rate of 2 units per second. At what rate is the y-coordinate changing at that time?
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