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7. When dy/dx = (x -6)1/2, what does y equal?

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the answer is below

(dy)/(dx) = (1)/(2) (x - 6)
multiply both sides by dx


dy = (1)/(2) (x - 6)dx
integrate both sides of the diffrential


integral \: dy = integral \: (1)/(2) (x - 6)dx
simplify and integrate to get y alone don't forget to tack on c with your indefinite integral


y = \frac{x {}^(2) }{4} - 3x + c
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