If the line -4x+y=2 is tangent to the curve y=1/3x^3+c, find c

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19-10-2017
Mathematics

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If the line -4x+y=2 is tangent to the curve y=1/3x^3+c, find c

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jbmow jbmow · Answer 1 · 2017-10-22T05:13:50+02:00

jbmow jbmow

22-10-2017

The slope of the line is 4. y = 4x + 2
The slope of the curve is y' = x^2
So when y' = 4, x^2 = 4 and x = + or - 2
c is irrelevant as it just raises or lowers the curve in a transformation mode.
Therefore c can be any real number.

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