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Home » Jeddah & Makkah Province: The Ultimate Guide to Unmissable Sights & Hidden Gems! - ToelettAPP

Jeddah & Makkah Province: The Ultimate Guide to Unmissable Sights & Hidden Gems! - ToelettAPP

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Then both expressions $ \ge 0 $:

📌 Which is $ \ge \frac{5}{2} = 2.5 $ — valid.

📌 The two valid solutions are $ x = -\frac{10}{3} $ and $ x = \frac{14}{3} $. The largest is $ \frac{14}{3} $.

📌 Thus, the answer is $ \boxed{\dfrac{14}{3}} $.Question: Find the smallest positive angle $\theta$ such that $\cos(\theta + 60^\circ) + \cos(\theta - 60^\circ) = \sqrt{3}$.

📌 Solution: Using the sum-to-product identity:

📌 \cos A + \cos B = 2 \cos\left(\frac{A + B}{2}\right) \cos\left(\frac{A - B}{2}\right)

📌 Let $A = \theta + 60^\circ$, $B = \theta - 60^\circ$. Then:

📌 \cos(\theta + 60^\circ) + \cos(\theta - 60^\circ) = 2 \cos\theta \cos 60^\circ

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Solution: To find the slant asymptote of $ I(t) = \frac{t^2 + 4}{t + 2...
Divide $ t^2 $ by $ t $ to get $ t $. Multiply $ t + 2 $ by $ t $ to g...
Next, divide $ -2t $ by $ t $ to get $ -2 $. Multiply $ t + 2 $ by $ -...
I(t) = t - 2 + \frac{8}{t + 2}.
As $ t \to \infty $, the term $ \frac{8}{t + 2} \to 0 $, so the slant...
\boxed{y = t - 2}
Question: A herpetologist models the population of a rare frog species...
Solution: To find the maximum of $ F(t) = \frac{100t}{t^2 + 4} $, we c...
F'(t) = \frac{(100)(t^2 + 4) - 100t(2t)}{(t^2 + 4)^2} = \frac{100(t^2...
Set $ F'(t) = 0 $:

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