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Home » Thus, the smallest such grid size is $\boxed1025640$. - IQnection

Thus, the smallest such grid size is $\boxed1025640$. - IQnection

📅 May 4, 2026 👤 scraface

May 04, 2026

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

📌 \[ a_4 = 5 \cdot 3^{4-1} = 5 \cdot 3^3 = 5 \cdot 27 = 135 \]

📌 Evaluate the integral \(\int (2x^2 + 3x + 1) \, dx\).

📌 \[ \int 2x^2 \, dx = rac{2}{3}x^3, \quad \int 3x \, dx = rac{3}{2}x^2, \quad \int 1 \, dx = x \]

📌 Combine the results:

📌 \[ \int (2x^2 + 3x + 1) \, dx = rac{2}{3}x^3 + rac{3}{2}x^2 + x + C \]

📌 #### \(rac{2}{3}x^3 + rac{3}{2}x^2 + x + C\)

📌 A projectile is launched with an initial velocity of 50 m/s at an angle of 30 degrees above the horizontal. Calculate the maximum height reached. Use \(g = 9.8 \, ext{m/s}^2\).

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