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Tangent Line Approximation

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

A

2.92.9

B

2.72.7

C

3.13.1

D

3.33.3

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