Question: A lake has roughly the same shape as the bottom half of the solid formed by rotating the curve 2x 2 + 3y 2 =

A lake has roughly the same shape as the bottom half of the solid formed by rotating the curve 2x² + 3y² = 6 about the x axis, for x and y measured in miles. Conservationists want the lake to contain 1,000 trout per cubic mile. If the lake currently contains 5,000 trout, how many more must be added to meet this requirement?

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