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If the line 3x-4y=0 is tangent in the first quadrant to the curve y=x^3+k, then k is?

I got 1/4 is this correct?

you are correct:

http://www.wolframalpha.com/input/?i=plot+y%3Dx%5E3%2B1%2F4,+y%3D3x%2F4,+-1%3C%3Dx%3C%3D1

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