let f be the function

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

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