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24 May, 01:23

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

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  1. 24 May, 03:04
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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.
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