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Home » how to compute eigenvectors from eigenvalues - Nurtured Nest

how to compute eigenvectors from eigenvalues - Nurtured Nest

📅 May 9, 2026 👤 scraface

May 09, 2026

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📌 A_{\text{rectangle}} = \text{length} \times \text{width} = 6 \times 8 = 48 \text{ square centimeters}

📌 Now, find the remaining area of the cross-section by subtracting the area of the rectangle from the area of the circle:

📌 A_{\text{remaining}} = A_{\text{circle}} - A_{\text{rectangle}} = 25\pi - 48

📌 Thus, the remaining area is:

📌 \boxed{25\pi - 48}

📌 Question:** A health tech developer is designing a rectangular display screen for a mental health app. The diagonal of the screen measures 13 inches, and one side is 5 inches. What is the area of the screen?

📌 Let the sides of the rectangle be \( a = 5 \) inches and \( b \) inches. The diagonal \( d = 13 \) inches. By the Pythagorean theorem, we have:

📌 a^2 + b^2 = d^2

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