Let P(x, y) be a point on the parabola y = x in the first quadrant. Consider
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Let P(x, y) be a point on the parabola y = x² in the first quadrant. Consider the triangle ΔPAO formed by P, A(0, 1),
and the origin O(0, 0), and the triangle ΔPBO formed by P,
B(1, 0), and the origin.
(a) Write the area of each triangle in terms of x.
(b) Let a(x) be the ratio of the areas of the two triangles,
Complete the table. Calculate
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