Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder. The variable h is the height of the ladder's top at time t, and x is the distance from the wall to the ladder's bottom. Suppose that the length of the ladder is 4.5 meters and the top is sliding down the wall at a rate of 0.5 m/s. Calculated when h = 1.3. (Use decimal notation. Give your answer to three decimal places.) h

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...
Question
Consider a ladder sliding down a wall as in the figure.
The variable a is the length of the ladder. The variable h is
the height of the ladder's top at time t, and x is the distance
from the wall to the ladder's bottom.
Suppose that the length of the ladder is 4.5 meters and the top
is sliding down the wall at a rate of 0.5 m/s.
Calculated when h = 1.3.
(Use decimal notation. Give your answer to three decimal
places.)
dx
dth=1.3
h
X
m/s
Transcribed Image Text:Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder. The variable h is the height of the ladder's top at time t, and x is the distance from the wall to the ladder's bottom. Suppose that the length of the ladder is 4.5 meters and the top is sliding down the wall at a rate of 0.5 m/s. Calculated when h = 1.3. (Use decimal notation. Give your answer to three decimal places.) dx dth=1.3 h X m/s
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