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Home » The Ultimate Must-Have Guide to the Iconic 2000 Dodge Ram 1500! - Groen Casting

The Ultimate Must-Have Guide to the Iconic 2000 Dodge Ram 1500! - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 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 \(f'(x) = 6x - 2\).

📌 Evaluating at \(x = 2\): \(f'(2) = 6(2) - 2 = 12 - 2 = 10\).

📌 Question:** A ladder 10 feet long rests against a wall. If the bottom slides away at 1 ft/s, how fast is the top sliding down when the bottom is 6 feet from the wall?

📌 Let \(x\) be the base distance, \(y\) the height.

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