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Home » From Kitchen to Cosmetics: Olive Oyl’s Surprising Superpowers Revealed! - Crosslake

From Kitchen to Cosmetics: Olive Oyl’s Surprising Superpowers Revealed! - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Î± = 0,0002 / (10Â·50) = 0,0002 / 500 = 4Ã10â»â· 1/Â°C

📌 #### 4e-07**Question:** How many lattice points lie on the ellipse defined by \(4x^2 + 9y^2 = 36\)?

📌 First, simplify the equation of the ellipse:

📌 rac{x^2}{9} + rac{y^2}{4} = 1

📌 This represents an ellipse centered at the origin with semi-major axis \(a = 3\) and semi-minor axis \(b = 2\).

📌 We need to find integer solutions \((x, y)\) \((x, y) \in \mathbb{Z}^2\) that lie on the ellipse.

📌 Since \(x^2 \leq 9\), possible integer values for \(x\) are \(x = -3, -2, -1, 0, 1, 2, 3\).

📌 Similarly, \(y^2 \leq 4\), so integer values for \(y\) are \(y = -2, -1, 0, 1, 2\).

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