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Calculus - Differentiation

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A Ladder 25 feet long is leaning against the wall of a house ... (Please see the attachment for the figure and questions)

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Solution Summary

The expert examines calculus differentiation for a ladder leaning against a house. A complete, neat and step-by-step solutions are provided.

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At any instant of time, t, let the base of the ladder be x ft away from the wall and let the top of the ladder be y ft above the

ground.

Then we have x^2 + y^2 = 25^2

Differentiating with respect to t, we have

2x(dx/dt) + 2y(dy/dt) = 0

By data, dx/dt = 2 ...

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