a) What is the maximum amount of the salt that will ever dissolve in the methanol? b) If x = 50 when t = 0, how long will it take for an additional 50 g of salt to dissolve?

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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23. As the salt KNO3 dissolves in methanol, the number x(t)
of grams of the salt in a solution after t seconds satisfies
the differential equation dx/dt 0.8x -0.004x2.
Transcribed Image Text:23. As the salt KNO3 dissolves in methanol, the number x(t) of grams of the salt in a solution after t seconds satisfies the differential equation dx/dt 0.8x -0.004x2.
(a) What is the maximum amount of the salt that will ever
dissolve in the methanol?
(b) If x = 50 when t = 0, how long will it take for an
additional 50 g of salt to dissolve?
Transcribed Image Text:(a) What is the maximum amount of the salt that will ever dissolve in the methanol? (b) If x = 50 when t = 0, how long will it take for an additional 50 g of salt to dissolve?
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