I only need D,E, and F to be solved. I do not need any other solutions solved. Thank you so much! 3. Let \( a \) and \( b \) be two unequal numbers from \(\mathbb{R}\).A. The difference \( b - a \) is not necessarily positive. Explain.B. The absolute value \(|b - a|\) is necessarily positive, and (assuming that \( b \) lies to the right of \( a \) on the number line) the resulting value is frequently called the width of the interval \((a, b)\). Thinking visually in terms of a horizontally-oriented number line, explain why this choice of words makes sense.C. (Henceforth, assume \( b \) lies to the right of \( a \) on the number line.) The real number \(\frac{a+b}{2}\) is frequently called the midpoint of the interval \((a, b)\). Thinking visually in terms of a horizontally-oriented number line, explain why this choice of words makes sense.D. The computation from part C above shows that between any two unequal real numbers is another real number different from the original two. Explain.E. If we assume that \( b \) is greater than \( a \), then the difference \( b - \frac{a+b}{2} \) is frequently called the radius of the interval \((a, b)\). Thinking visually in terms of a horizontally-oriented number line, explain why this choice of words makes sense.

D. The computation from part C above shows that between any two unequal real numbers is another real number different from the original two. Explain. E. If we assume that b is greater than a, then the difference batis frequently called the radius of the interval (a, b). Thinking visually in terms of a horizontally-oriented number line, explain why this choice of words make sense.

D. The computation from part C above shows that between any two unequal real numbers is another real number different from the original two. Explain. E. If we assume that b is greater than a, then the difference batis frequently called the radius of the interval (a, b). Thinking visually in terms of a horizontally-oriented number line, explain why this choice of words make sense.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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