4. A 13-ft ladder is leaning against a house when its base is 12 ft from the house, the base is moving at the rate of 5 ft/sec. (a) How fast is the top of the ladder sliding down the wall then? (b) How fast is the area of the triangle formed 13-ft ladder by the ladder, wall and the ground changing then? x(r) (c) At what rate is the angle 0 between the ladder and the ground changing then?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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4. A 13-ft ladder is leaning against a house when its base is 12 ft from the
house, the base is moving at the rate of 5 ft/sec.
(a) How fast is the top of the ladder sliding
down the wall then?
y(r)
(b) How fast is the area of the triangle formed
13-ft ladder
by the ladder, wall and the ground
changing then?
x(t)
(c) At what rate is the angle e between the
ladder and the ground changing then?
Transcribed Image Text:4. A 13-ft ladder is leaning against a house when its base is 12 ft from the house, the base is moving at the rate of 5 ft/sec. (a) How fast is the top of the ladder sliding down the wall then? y(r) (b) How fast is the area of the triangle formed 13-ft ladder by the ladder, wall and the ground changing then? x(t) (c) At what rate is the angle e between the ladder and the ground changing then?
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