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A Tank 5 Feet Long Has Cross-Sections N the Shape y=x2, for 2x2y = x ^ { 2 } , \text { for } - 2 \leq x \leq 2

Question 66

Essay

A tank 5 feet long has cross-sections n the shape of a parabola y=x2, for 2x2y = x ^ { 2 } , \text { for } - 2 \leq x \leq 2 (where x and y are in feet). Suppose that the tank is filled to a depth of 3 feet with liquid weighing 15 lb/ft3. How much work is required to empty the tank by pumping the liquid over the edge of the tank?

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