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ashocketantiL
ashocketantiL ashocketantiL
  • 20-07-2016
  • Mathematics
Answered

The graph of y = x^3 -9x^2 - 16x +1 has a slope of 5 at two points. Find the coordinates of the points.

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meerkat18
meerkat18 meerkat18
  • 20-07-2016

we are given with the equation y = x^3 -9x^2 - 16x +1. It is said that when the slope is 5, there are two points tangent to the graph. the slope is equal to the y'.y' = 3x2 -18x -16 = 5     3x2 -18x - 21 = 0x1 = 7 and x2 = -1The two points are (7,-209) and (-1,7)

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