Instructions

Consider the region $$R = \left\{(𝑥, 𝑦) \epsilon R \times R ∶ x \geq 0 and y^{2} \leq 4 − x \right\}$$. Let F be the family of all circles that are contained in 𝑅 and have centers on the x-axis. Let C be the circle that has largest radius among the circles in F. Let ($$\alpha, \beta$$) be a point where the circle C meets the curve $$y^{2} = 4 − x$$.

Question 8

The value of $$\alpha$$ is ___ .

Correct Answer: 1.95 - 2.05

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The value of $$\alpha$$ is ___ .

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