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Home » Diskriminante eines kubischen \( z^3 + pz + q \): \( \Delta = -4p^3 - 27q^2 \) - go-checkin.com

Diskriminante eines kubischen \( z^3 + pz + q \): \( \Delta = -4p^3 - 27q^2 \) - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 #### \(\sqrt{\frac{50}{\pi}}\)

📌 A projectile is launched with an initial velocity of 20 m/s at an angle of 30 degrees. Find the maximum height reached.

📌 Vertical component: \( v_y = 20 \sin(30^\circ) = 10 \) m/s

📌 Maximum height: \( h = \frac{v_y^2}{2g} = \frac{10^2}{2 \times 9.8} \approx 5.10 \) meters

📌 The sum of the infinite geometric series \( 3 + 1.5 + 0.75 + \ldots \) is:

📌 First term \( a = 3 \), common ratio \( r = 0.5 \)

📌 Sum: \( S = \frac{a}{1 - r} = \frac{3}{1 - 0.5} = \frac{3}{0.5} = 6 \)

📌 Find the derivative of \( f(x) = x^3 - 3x^2 + 5x - 7 \) at \( x = 2 \).

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