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Home » â 10,000 Ã 1.159274 â 11,592.74 - Treasure Valley Movers

â 10,000 Ã 1.159274 â 11,592.74 - Treasure Valley Movers

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 Here, \( a = 5 \), \( r = 3 \), \( n = 4 \):

📌 \[ S_4 = 5 \times \frac{3^4 - 1}{3 - 1} = 5 \times \frac{81 - 1}{2} = 5 \times 40 = 200 \]

📌 #### 200**Question:

📌 An ornithologist uses GPS data to model the migration path of a certain bird species. Suppose the path is approximated by the ellipse given by the equation \(4x^2 + 9y^2 = 36\). Find the area enclosed by this ellipse.

📌 To find the area enclosed by the ellipse given by \(4x^2 + 9y^2 = 36\), we first rewrite it in standard form. Divide the entire equation by 36:

📌 \frac{4x^2}{36} + \frac{9y^2}{36} = 1 \implies \frac{x^2}{9} + \frac{y^2}{4} = 1

📌 This represents an ellipse with semi-major axis \(a = 3\) (since \(\sqrt{9} = 3\)) and semi-minor axis \(b = 2\) (since \(\sqrt{4} = 2\)).

📌 The area \(A\) of an ellipse is given by the formula:

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