i. A trough is 12 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 8 ft3/min, how fast is the water level rising when the water is 5 inches deep?
ii. y = 5x3+2x, dx/dt = 4, find dy/dt when x = 2
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