SOLUTION: Find the number k>0 such that the region bounded by the curves y=x^2 and y=kx has area 6 square units.

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Question 1041798: Find the number k>0 such that the region bounded by the curves y=x^2 and y=kx has area 6 square units.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
A+=+int%28%28kx-x%5E2%29%2C+dx%2C+0%2Ck%29+=+6
==> %28%28k%2F2%29x%5E2+-+x%5E3%2F3%290%5Ek+=+6
==> k%5E3%2F2+-+k%5E3%2F3+=+k%5E3%2F6+=+6 ==> k%5E3+=+36
Therefore, k+=+root%283%2C36%29.