Consider the expression. 7.20 x 10-5 = x(0.100 + æ)? You can solve for æ using a technique called successive approximations. Step 1: If you assume that æ is very small compared to 0.100, such that 0.100 + æ z 0.100, then your first approximation of æ (call it æ1) can be calculated as 7.20 x 10-5 = x1(0.100)² Calculate the first approximation of æ. Express all answers to three or more significant figures. Step 2: Now, take your first approximation of æ and plug it into the full equation. 7.20 x 10-5 = r2(0.100 + x1)² Calculate the second approximation of æ. Step 3: Each successive approximation uses the value from the previous approximation.
Consider the expression. 7.20 x 10-5 = x(0.100 + æ)? You can solve for æ using a technique called successive approximations. Step 1: If you assume that æ is very small compared to 0.100, such that 0.100 + æ z 0.100, then your first approximation of æ (call it æ1) can be calculated as 7.20 x 10-5 = x1(0.100)² Calculate the first approximation of æ. Express all answers to three or more significant figures. Step 2: Now, take your first approximation of æ and plug it into the full equation. 7.20 x 10-5 = r2(0.100 + x1)² Calculate the second approximation of æ. Step 3: Each successive approximation uses the value from the previous approximation.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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
Transcribed Image Text:Consider the expression.
7.20 x 10-5 = x(0.100 + æ)?
You can solve for æ using a technique called successive approximations.
Step 1: If you assume that æ is very small compared to 0.100, such that 0.100 + æ z 0.100, then your first approximation of æ
(call it æ1) can be calculated as
7.20 x 10-5 = x1(0.100)²
Calculate the first approximation of æ. Express all answers to three or more significant figures.
Step 2: Now, take your first approximation of æ and plug it into the full equation.
7.20 x 10-5 = r2(0.100 + x1)²
Calculate the second approximation of æ.
Step 3: Each successive approximation uses the value from the previous approximation.

Transcribed Image Text:Question 22 of 29
Step 3: Each successive approximation uses the value from the previous approximation.
7.20 x 10-5 = æ3(0.100 + x2)?
Calculate the third approximation of x.
Step 4: Continue this process until two x values agree within the desired level of precision. Calculate the fourth and fifth
approximations of x.
Which values are the first to agree to two significant figures?
x2 and æ3
O x1 and x2
x4 and æ5
O x3 and x4
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