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.

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