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Home » $ x \ge \frac52 $: - Baxtercollege

$ x \ge \frac52 $: - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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

📌 The derivative is \( f'(x) = 9x^2 - 10x + 2 \).

📌 Evaluate at \( x = 2 \): \( f'(2) = 9(2)^2 - 10(2) + 2 = 36 - 20 + 2 = 18 \).

📌 The integral \( \int (4x^3 - 2x + 1) \, dx \) is:

📌 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.

🔥 Popular Posts

1.08^4 = (1.1664)^2 ≈ 1.360487
1.08^6 = 1.360487 × 1.1664 ≈ <<1.360487*1.1664=1.5868>>1.5868
Then: 150 × 1.5868 ≈ <<150*1.5868=238.02>>238.02
Rounded to nearest gram: 238
#### 238
A climatologist analyzing satellite data finds that the average temper...
Temperature increase over 30 years: 16.8 − 14.2 = 2.6°C
Rate of increase: 2.6 ÷ 30 = <<2.6/30=0.08667>>0.08667°C per year
Years from 2020 to 2050: 30
Projected increase: 0.08667 × 30 ≈ <<0.08667*30=2.6>>2.6°C

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