Solve the elementary applications of Differential equation: 1. Suppose that the quantity of a radioactive substance originally weighing Xo grams decomposes at a rate proportional to the amount present and the original quantity is left quantity is left after 1000 years is halved, find the time when the a

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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Solve the elementary applications of Differential equation:

1. Suppose that the quantity of a radioactive substance originally weighing Xo grams decomposes at a rate proportional to the amount present and the original quantity is left quantity is left after 1000 years is halved, find the time when the amount is one-tenth of the original amount.

2. A series RL circuit with R = 50 Ohms and L = 10H has a constant voltage V = 100V at t = 0 by closing of a switch. Find the current at t = 0.5 seconds 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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