The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the triangle is increasing at a rate of 1 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 7.5 centimeters and the area is 88 square centimeters? cm/min
The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the triangle is increasing at a rate of 1 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 7.5 centimeters and the area is 88 square centimeters? cm/min
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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![The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the triangle is
increasing at a rate of 1 square centimeters/minute. At what rate is the base of the triangle changing when
the altitude is 7.5 centimeters and the area is 88 square centimeters?
cm/min](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96ccea39-6e20-4e83-b9fb-b22d2ae10407%2F43c3f5e3-a21f-41f5-9ae0-b8b78dfeae58%2Fhicjp68_processed.png&w=3840&q=75)
Transcribed Image Text:The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the triangle is
increasing at a rate of 1 square centimeters/minute. At what rate is the base of the triangle changing when
the altitude is 7.5 centimeters and the area is 88 square centimeters?
cm/min
![Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the
shape of a right circular cone whose base diameter and height are always equal. How fast is the height of
the pile increasing when the pile is 21 feet high?
Recall that the volume of a right circular cone with heighth and radius of the base r is given by
1
V = r²h
ft
min](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96ccea39-6e20-4e83-b9fb-b22d2ae10407%2F43c3f5e3-a21f-41f5-9ae0-b8b78dfeae58%2Ff7x39ro_processed.png&w=3840&q=75)
Transcribed Image Text:Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the
shape of a right circular cone whose base diameter and height are always equal. How fast is the height of
the pile increasing when the pile is 21 feet high?
Recall that the volume of a right circular cone with heighth and radius of the base r is given by
1
V = r²h
ft
min
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