f(x) = x^3 + 3x^2 - x + 2
a. the tangent to the graph of f at the point P = (-2,8) intersects the graph of f again at the point Q. Find the coordinates of point Q.
b. Find the coordinates of point R, the inflection point of the graph of f
c. Show that the segment QR divides the region between the graph of f and its tangent at P into two regions whose areas are in the ratio of 16/11
This question was asked on Apr 29, 2010.
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