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Home » Divide the entire equation by 6: - Dachbleche24

Divide the entire equation by 6: - Dachbleche24

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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

📌 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 \(g = 9.8 \, ext{m/s}^2\).

📌 Use the formula for maximum height:

📌 \[ h = rac{v^2 \sin^2 heta}{2g} \]

📌 \(v = 50 \, ext{m/s}\), \( heta = 30^\circ\), \(\sin 30^\circ = 0.5\).

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