Mathematics

Mathematics

Problem

The function f(x)f(x) represents the cross-section of a valley. It is defined by segments connecting (−5,10)(-5, 10), (0,0)(0, 0), and (5,10)(5, 10). The water level in the valley rises such that the surface width is 66 units. If the water surface is horizontal line y=ky = k, find the depth of the water at the center of the valley (x=0x=0).

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