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Home » Then the consecutive even numbers are \( x \), \( x+2 \), and \( x+4 \). - Blask

Then the consecutive even numbers are \( x \), \( x+2 \), and \( x+4 \). - Blask

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 As $x \to 0^+$, $\sec x \to 1$, $\csc x \to \infty$, so $(\sec x + \csc x)^2 \sim \csc^2 x \sim \frac{1}{x^2}$

📌 And $\sin x + \cos x \to 1$, so its square is constant, but the first term dominates.

📌 Thus, $(\sec x + \csc x)^2 \to \infty$, so the entire expression tends to infinity.

📌 But the problem asks for the **maximum** — if it diverges, there is no finite maximum.

📌 But likely we made a mistake in interpretation — perhaps the expression is bounded?

📌 Wait: no, because $\csc x = 1/\sin x$, and as $x \to 0$, $\sin x \to 0$, so $\csc x \to \infty$, and it's not bounded.

📌 But the problem says "find the maximum" — contradiction.

📌 Wait — perhaps the expression is **minimized**, not maximized? But the problem says "maximum".

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En résolvant pour w, on obtient w = 36 cm / 6 = 6 cm.
La longueur est 2w = 2 * 6 cm = 12 cm.
L'aire est w * longueur = 6 cm * 12 cm = 72 cm^2.
#### 72 cm^2
Une voiture parcourt 150 miles en 2,5 heures. Si la voiture augmente s...
La vitesse initiale est de 150 miles / 2,5 heures = 60 mph.
Une augmentation de 20 % fait passer la vitesse à 60 mph * 1,20 = 72 m...
Pendant 3 heures à 72 mph, la voiture parcourt 3 * 72 miles = 216 mile...
La distance totale est de 150 miles + 216 miles = 366 miles.
#### 366 miles

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