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how fast is the ladder’s top sliding (related rates problem)

Calculus Related Rates Problem: How fast is the ladder’s top sliding? A 10-ft ladder is leaning against a house on flat ground. The house is to the left of the ladder. The base of the ladder starts to slide away from the house. When the base has slid to 8 ft from the house, it […]

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Angle change as a ladder slides (related rates problem)

Calculus Related Rates Problem: At what rate does the angle change as a ladder slides away from a house? A 10-ft ladder leans against a house on flat ground. The house is to the left of the ladder. The base of the ladder starts to slide away from the house at 2 ft/s. At what […]

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4 Steps to Solve Any Related Rates Problem – Part 1

Almost 90% of respondents find this blog post “very” or “extremely useful.” What about you? Please let us know below! Are you having trouble with Related Rates problems in Calculus? Let’s break ’em down and develop a strategy that you can use to solve them routinely for yourself. I. What’s related about these rates? (Or, […]

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