The curve y = 1/3 x 3 2x 2 8x + 5 and the line

Question:

The curve y = 1/3 x3 – 2x2 – 8x + 5 and the line y = x + 5 meet at the points A, B and C.

a. Find the coordinates of the points A, B and C.

b. Find the gradient of the curve at the points A, B and C.

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