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Tangent Line Approximation
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Let $$y = f(x)$$ be a differentiable function such that $$\displaystyle\frac{dy}{dx} = \frac{2x+1}{y}$$ and $$f(1) = 3$$. What is the approximation of $$f(0.9)$$ using the line tangent to the graph of $$f$$ at $$x = 1$$?

A

$$3.3$$

B

$$2.9$$

C

$$2.7$$

D

$$3.1$$

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