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Home » \[ w = \frac246 = 4 \text meters \] - ToelettAPP

\[ w = \frac246 = 4 \text meters \] - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 #### 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:

📌 A = \pi a b

📌 Substituting the values of \(a\) and \(b\):

🔥 Popular Posts

سؤال**: حل نظام المعادلات: \( 2x + 3y = 16 \) و \( 4x - y = 9 \).
حل المعادلة الثانية لإيجاد \( y \):
4x - y = 9 \quad \Rightarrow \quad y = 4x - 9
2x + 3(4x - 9) = 16
2x + 12x - 27 = 16
14x - 27 = 16
أضف 27 إلى كلا الطرفين:
14x = 43
اقسم على 14:
x = \frac{43}{14}

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