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the westin washington national harbor national harbor - SUpost

📅 July 6, 2026 👤 scraface

Jul 06, 2026

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📌 Question:** A car travels 150 miles at a speed of 50 mph, then 200 miles at 40 mph. What is the average speed for the entire trip?

📌 Time for first part: \(\frac{150}{50} = 3\) hours.

📌 Time for second part: \(\frac{200}{40} = 5\) hours.

📌 Total distance = 350 miles, total time = 8 hours.

📌 Average speed = \(\frac{350}{8} = 43.75\) mph.

📌 #### 43.75

📌 Question:** If \(f(x) = 3x^2 - 2x + 1\), find \(f'(x)\) and evaluate \(f'(2)\).

📌 The derivative \(f'(x) = 6x - 2\).

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