The equation of a curve is y = 5 3x 2x 2 . a. Show

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The equation of a curve is y = 5 − 3x − 2x2.

a. Show that the equation of the normal to the curve at the point (−2, 3) is x + 5y = 13.

b. Find the coordinates of the point at which the normal meets the curve again.

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