Question

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

Answer 1

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`