The Blob is a gelatinous alien life form which expands in size until it engulfs all! At midnight, just last night, the Blob landed in the countryside near Saint-Lazare with a volume of 1 m³. After its first 24 hours on earth the Blob will have a volume of 8 m³. The Blob's volume increases at a rate proportional to the the cube root of its volume. After how many days on earth will its volume be 1000 m³?

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 Blob is a gelatinous alien life form which expands in size until it engulfs all! At midnight, just last night,
the Blob landed in the countryside near Saint-Lazare with a volume of 1 m³. After its first 24 hours on earth
the Blob will have a volume of 8 m³. The Blob's volume increases at a rate proportional to the the cube root of
its volume. After how many days on earth will its volume be 1000 m³?
Transcribed Image Text:The Blob is a gelatinous alien life form which expands in size until it engulfs all! At midnight, just last night, the Blob landed in the countryside near Saint-Lazare with a volume of 1 m³. After its first 24 hours on earth the Blob will have a volume of 8 m³. The Blob's volume increases at a rate proportional to the the cube root of its volume. After how many days on earth will its volume be 1000 m³?
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