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

User Cauchy Schwarz
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1 Answer

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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.
User Jesse Brown
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9.3k points
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