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A curve is described by the equation in polar coordinates $\newline$$r=2\cos \theta$. Determine $y(\theta)$ and $\frac{dy}{d\theta}$ when $\theta=\frac{4\pi}{3}$ and answer the analysis question below. Write your answers as exact values or rounded to three decimal places.$\newline$$\ y(\theta)\quad=\square\left(\frac{4\pi}{3}\right),=\square \ \frac{dy}{d\theta}\quad=\square,\left.\frac{dy}{d\theta}\right|_{\theta=\frac{4\pi}{3}}=\square$