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What is the rate of change of distance between the top of the ladder and the ground?

What is the rate of change of distance between the top of the ladder and the ground?

Calculus: Early Transcendentals
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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For items 1-5 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 is moving horizontally at the rate of 2 ft/sec. How fast is the ladder's top sliding down the wall when the base is 8 ft from the house? Assuming: x is the distance between the bottom of the ladder and the wall y is the distance between the top of the ladder and the wall Relation of x and y using Pythagorean theorem is: x^2 + y^2 = 64
Transcribed Image Text:For items 1-5 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 is moving horizontally at the rate of 2 ft/sec. How fast is the ladder's top sliding down the wall when the base is 8 ft from the house? Assuming: x is the distance between the bottom of the ladder and the wall y is the distance between the top of the ladder and the wall Relation of x and y using Pythagorean theorem is: x^2 + y^2 = 64
What is the rate of change of distance between the top of the ladder and the ground? Ody/dt = 8/3 Ody/dt = -3/8 Ody/dt = - 8/3 Ody/dy = 3/8
Transcribed Image Text:What is the rate of change of distance between the top of the ladder and the ground? Ody/dt = 8/3 Ody/dt = -3/8 Ody/dt = - 8/3 Ody/dy = 3/8
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