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Show that the parabola y = x2and the line x + 2y -3 intersect at right angles at one of their points of intersection. Given

Show that the parabola y = x2and the line x + 2y -3 intersect at right angles at one of their points of intersection.

Given that f(1) = 2, f ' (1) = 4, and g(x) = (f(x))-3, find g ' (1).

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