Two substances A and B are combined to form a product C. The formation of the product is proportional to the time the reactants are combined. The final product is composed of two parts of B for every part of A. If initially A is 30 kg and B is 20 kg, and 5 kg of the product is formed after 30 mins., find the function of product formed at any given time.

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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Problems:
1. Two substances A and B are combined to form a product C. The
formation of the product is proportional to the time the reactants
are combined. The final product is composed of two parts of B
for every part of A. If initially A is 30 kg and B is 20 kg, and 5
kg of the product is formed after 30 mins., find the function of
product formed at any given time.
Transcribed Image Text:Problems: 1. Two substances A and B are combined to form a product C. The formation of the product is proportional to the time the reactants are combined. The final product is composed of two parts of B for every part of A. If initially A is 30 kg and B is 20 kg, and 5 kg of the product is formed after 30 mins., find the function of product formed at any given time.
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