(A) A 20-ft. ladder is leaning against a wall but is left unattended and starts to slide down the wall. After 3 seconds, the top of the ladder is 12 feet above the floor and is sliding further down the wall at a rate of 9 ft. per second. How fast is the foot of the ladder sliding away from the wall at that point in time? (B) What is the rate of change of the area of the triangle formed by the ladder, the floor, and the wall at that point in time?

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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(A) A 20-ft. ladder is leaning against a wall but is left unattended and starts
to slide down the wall. After 3 seconds, the top of the ladder is 12 feet
above the floor and is sliding further down the wall at a rate of 9 ft. per
second. How fast is the foot of the ladder sliding away from the wall at
that point in time?
(B) What is the rate of change of the area of the triangle formed by the
ladder, the floor, and the wall at that point in time?
Transcribed Image Text:(A) A 20-ft. ladder is leaning against a wall but is left unattended and starts to slide down the wall. After 3 seconds, the top of the ladder is 12 feet above the floor and is sliding further down the wall at a rate of 9 ft. per second. How fast is the foot of the ladder sliding away from the wall at that point in time? (B) What is the rate of change of the area of the triangle formed by the ladder, the floor, and the wall at that point in time?
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