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The curve y= ax^3 -3x^2 -2x + 1 has the gradient 7 when x = 1. Find the value of a.

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gradient = slope = dy/dx
dy/dx = 3ax^2 - 6x - 2
using the given:
7 = 3a(1) -6(1) - 2
7 = 3a - 8
3a = 15
a = 5

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