A spherical balloon is being filled in such a way that the surface area is increasing at a rate of 20 cm2/sec when the radius is 2 me alloon when the radius is 2 meters? -. A cylindrical tank of radius 2.5 feet is being drained of water at a rate of 0.25 ft/sec. How fast is the height of the water decreasin Lir holloon

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 spherical balloon is being filled in such a way that the surface area is increasing at a rate of 20 cm-/sec when the radius is 2 meter
alloon when the radius is 2 meters?
. A cylindrical tank of radius 2.5 feet is being drained of water at a rate of 0.25 ft/sec. How fast is the height of the water decreasing?
9. A hot air balloon is attached to a spool of rope that is 125 feet away from the balloon when it is on the ground. The hot air balloon rise
rope increases at a rate of 15 ft/sec. How fast is the hot air balloon rising 20 seconds after it lifts off?
Balloon
This Length Increasing at 15 ft/sec
Spool of Rope
125 ft
10. A rock is dropped straight off a bridge that is 50 meters above the ground and falls at a speed of 10 m/sec. Another person is 7 meter
the distance between the rock and the second person increasing just as the rock hits the ground?
Rock
Dropped
Here
7 meters
Person
9 Type here to search
29
Distance Changing,
Transcribed Image Text:Paul's Online Notes Prev. Section (Notes) (Practice Problems) (Assignment Problems Next Section A spherical balloon is being filled in such a way that the surface area is increasing at a rate of 20 cm-/sec when the radius is 2 meter alloon when the radius is 2 meters? . A cylindrical tank of radius 2.5 feet is being drained of water at a rate of 0.25 ft/sec. How fast is the height of the water decreasing? 9. A hot air balloon is attached to a spool of rope that is 125 feet away from the balloon when it is on the ground. The hot air balloon rise rope increases at a rate of 15 ft/sec. How fast is the hot air balloon rising 20 seconds after it lifts off? Balloon This Length Increasing at 15 ft/sec Spool of Rope 125 ft 10. A rock is dropped straight off a bridge that is 50 meters above the ground and falls at a speed of 10 m/sec. Another person is 7 meter the distance between the rock and the second person increasing just as the rock hits the ground? Rock Dropped Here 7 meters Person 9 Type here to search 29 Distance Changing,
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