67. Rate of Change A 25 foot ladder is leaning against a house (see figure). Il the base of the ladder is pulled away from the house at a rate of 2 feet per second, then the top will move down the wälFat a rite of 16 see 625 where a is the distance belween the hase of the ladder and the house, and ris the rate in leet per second 25 18 (a) Find the rate i when x is 7 feet. (b) Find the rate when t is 15 fee. (c) Find the limit of r as r approaches 25 from the left.
67. Rate of Change A 25 foot ladder is leaning against a house (see figure). Il the base of the ladder is pulled away from the house at a rate of 2 feet per second, then the top will move down the wälFat a rite of 16 see 625 where a is the distance belween the hase of the ladder and the house, and ris the rate in leet per second 25 18 (a) Find the rate i when x is 7 feet. (b) Find the rate when t is 15 fee. (c) Find the limit of r as r approaches 25 from the left.
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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solve number 67
Transcribed Image Text:Völume
67. Rate of Change A 25 foot ladder is leaning against a
house (see figure) II the base bf the lädder is pulled away from
the house at a rate of 2 feeu pe second, then the top will move
down the wal at a rate of
/625
where ris the distance between the base of the ladder and the
house, and ris the rate in lec per second.
(a) Find the rate i when x is 7 feet
(b) Find the rate r when x is 15 feet.
(c) Find the limit of r as x approaches 25 from the left.
• 68. Average Speed •
On a trip of d miles to another city, a truck driver's average
speed was x miles per hour. On the return trip, the average
speed was y miles per hour. The average speed for the round
trip was 50 miles per hour.
(a) Verify that
25x
*-25
What is the domain?
77%
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