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When a spherical mint is sucked, a simple model gives the rate of decrease of its radius as inversely proportional to the square of its radius. Initially the radius of the mint is 5mm and after 5 mins its radius is 4mm. a) Using this model, find the radius of the mint 8 minutes after being put into the mouth. b) At what time does the mint dissolve completely?

When a spherical mint is sucked, a simple model gives the rate of decrease of its radius as inversely proportional to the square of its radius. Initially the radius of the mint is 5mm and after 5 mins its radius is 4mm. a) Using this model, find the radius of the mint 8 minutes after being put into the mouth. b) At what time does the mint dissolve completely?

Calculus: Early Transcendentals
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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When a spherical mint is sucked, a simple model gives the rate of decrease of its radius as inversely proportional to the square of its radius. Initially the radius of the mint is 5mm and after 5 mins its radius is 4mm. a) Using this model, find the radius of the mint 8 minutes after being put into the mouth. b) At what time does the mint dissolve completely?
When a spherical mint is sucked, a simple model gives the rate of decrease of its radius as inversely proportional to the square of its radius. Initially the radius of the mint is 5mm and after 5 mins its radius is 4mm. a) Using this model, find the radius of the mint 8 minutes after being put into the mouth. b) At what time does the mint dissolve completely?
Transcribed Image Text:When a spherical mint is sucked, a simple model gives the rate of decrease of its radius as inversely proportional to the square of its radius. Initially the radius of the mint is 5mm and after 5 mins its radius is 4mm. a) Using this model, find the radius of the mint 8 minutes after being put into the mouth. b) At what time does the mint dissolve completely?
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