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The following expressions are exactly equal to zero: x1=70,000k=1700,0000.1,x2=70,000k=1360,0000.125x3=70,000k=1560,0000.2,x1=70,000k=1280,0000.25. However, MATLAB stores numbers with a binary representation and only finitely many digits. This means that
The following expressions are exactly equal to zero: x1=70,000k=1700,0000.1,x2=70,000k=1360,0000.125x3=70,000k=1560,0000.2,x1=70,000k=1280,0000.25. However, MATLAB stores numbers with a binary representation and only finitely many digits. This means that most non-integer values have a small truncation (or "round-off") crror. This error is usually so small that we do not notice, but over many calculations, it can become quite large. As a result, the expressions above may not be numerically equal to zero. With this in mind, please answer the following: (a) Use MATLAB to verify this effect by computing each x value, using for loops to compute the sums. (b) Written Response: In your write-up, explain the differences in these values. Why are some numerically equal to zero and some not
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