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Mathematics, 02.02.2020 17:01 1234Shutthedoor

An arch has the shape of the parabola y = 36 − x2. a rectangle is fit under the arch by selecting a point (x, y) on the parabola.
(a) express the area a of the rectangle in terms of x.
(b) if x = 1, the rectangle has base 2 and height 35. find the base of a second rectangle that has the same area.

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