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- Thread starter CHiMER4
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Please show us what you have tried andA curve is such that

dy/dx= (√x/2) + (5/x^2)

Use an indefinite integral to find the equation of this curve, given that the point (1;10) lies on the curve.

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Please share your work/thoughts about this problem.

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They've told you what to do:A curve is such that

dy/dx= (√x/2) + (5/x^2)

Use an indefinite integralto find the equation of this curve, given that the point (1;10) lies on the curve.

- Joined
- Nov 12, 2017

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That's mostly good; just check a sign and fix the subsequent work.I got to

y=(x^(3/2)/3) + 5/x + c

When x= 1, y=10

10=(1^(3/2)/3) +5/1 +c

c=14/3

Therefore equation is

y= (x^(3/2)/3)+5/x+14/3

It would have been a good idea to check your answer by taking its derivative.

Oh, thank you for your timeThat's mostly good; just check a sign and fix the subsequent work.

It would have been a good idea to check your answer by taking its derivative.