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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 for $$f(0.9)$$ found by using the tangent line to the graph of $$f$$ at $$x=1$$?

A

$$2.9$$

B

$$2.7$$

C

$$3.1$$

D

$$3.3$$

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