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Varvara68 [4.7K]
3 years ago
9

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

Mathematics
1 answer:
Sergio039 [100]3 years ago
3 0
The answer is below
\frac{dy}{dx} = \frac{1}{2} (x - 6)
multiply both sides by dx

dy = \frac{1}{2} (x - 6)dx
integrate both sides of the diffrential

integral \: dy = integral \: \frac{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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