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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