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Question Number 131689 by liberty last updated on 07/Feb/21

 a curve C passes through (2,0)  and the slope at (x,y) as (((x+1)^2 +(y−3))/(x+1))  Find the equation of the curve.

$$\:\mathrm{a}\:\mathrm{curve}\:\mathrm{C}\:\mathrm{passes}\:\mathrm{through}\:\left(\mathrm{2},\mathrm{0}\right) \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{slope}\:\mathrm{at}\:\left(\mathrm{x},\mathrm{y}\right)\:\mathrm{as}\:\frac{\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} +\left(\mathrm{y}−\mathrm{3}\right)}{\mathrm{x}+\mathrm{1}} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{the}\:\mathrm{curve}. \\ $$

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