The function $$\(\mathrm{f}\)$$ is defined by $$\(\mathrm{f}(x)=\frac{2}{(x+2)^{2}}\)$$ for $$\(x>-2\)$$. The equation of a curve is such that $$\(\frac{\mathrm{d} y}{\mathrm{~d} x}=\mathrm{f}(x)\)$$. It is given that the point $$\((-1,-1)\)$$ lies on the Find the equation of the curve. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No:9709_w20_qp_13 Year:2020 Question No:2(b)
Answer:
\(-1=-2+c\)
\(y=\frac{-2}{x+2}+1\)
\(y=\frac{-2}{x+2}+1\)
Knowledge points:
1.8.2 solve problems involving the evaluation of a constant of integration
Solution:
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