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Home » a_n = 2 + (n - 1) \cdot 3 - AMAZONAWS

a_n = 2 + (n - 1) \cdot 3 - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 So, the integral is \( x^4 - x^2 + x + C \).

📌 A projectile is launched with an initial velocity of 50 m/s at an angle of 30 degrees. Find the maximum height reached.

📌 The vertical component of velocity is \( 50 \sin(30^\circ) = 25 \) m/s.

📌 Maximum height \( h = rac{(25)^2}{2 imes 9.8} = rac{625}{19.6} pprox 31.887 \) meters.

📌 #### 31.887Certainly! Here are ten advanced high school-level mathematics questions with step-by-step solutions:

📌 A cylindrical tank with a radius of 5 meters is filled with water to a height of 10 meters. If the water is drained until the height is reduced by 2 meters, what is the volume of water removed?

📌 The initial volume \( V_1 = \pi (5)^2 (10) = 250\pi \) cubic meters.

📌 The volume after reduction \( V_2 = \pi (5)^2 (8) = 200\pi \) cubic meters.

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