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📰 However, to **maximize $r$**, we must **minimize the denominator** $\sin(2\theta)$, but not go below 0. So we consider the **maximum of $r^2$** under the constraint that $\sin(2\theta) > 0$. The maximum occurs when $\sin(2\theta)$ is at its **minimum positive value**, but that would make $r^2$ large — but we must find the **actual maximum possible finite value**. 📰 Actually, the **maximum finite value of $r$** occurs when $\sin(2\theta)$ is at its **maximum**, because $r^2 = \frac{100}{\sin(2\theta)}$, and $\sin(2\theta) \leq 1$. 📰 r^2 \leq \frac{100}{1} = 100 \Rightarrow r \leq 10. 📰 St Louis Weather Forecast 1200280 📰 A Cartographer Designs A Zoom System Where Each Level Doubles The Linear Scale Of Detail Starting From 11000000 At Level 0 What Is The Scale At Zoom Level 7 Expressed In 1X 2313795 📰 From Bling To Beauty The Shocking Reasons Metal Teeth Are Redefining Luxury 8765161 📰 The First Second Of Any Day Could Be The Start Of A Life Changing Shift 1028060 📰 Hc Insurance Secrets Protect Your Health Without Breaking The Bank 2376815 📰 Substitute B 9A Into 6A B Frac72 3991657 📰 Dfw To Boston 8417120 📰 Survey Money 6131039 📰 Priorityqueue 3260041 📰 White Leghorn Chickens The Ultimate Egg Layers You Never Knew Your Flock Needed 1292229 📰 Discover The Black Magic Of Sambuca Its Not Just A Drink Its A Revelation 5503777 📰 Excel Gantt Chart Mastery The Simplest Guide To Visualizing Your Project Timeline 1561461 📰 Sophie Gregoire 2227994 📰 1800S Name Trends You Wont Believe Were Actually Everyday Discover Them Now 5606752 📰 Galleria Map Houston Texas 7233418