12. Draw the diagram of the interval order represented in Figure 6.34. d 8 Figure 6.34. An interval representation h k C j

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Chapter2: Second-order Linear Odes
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**Transcription for Educational Website**

**12.** Draw the diagram of the interval order represented in Figure 6.34.

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**Diagram Explanation:**

In Figure 6.34, an interval representation is shown, consisting of several horizontal bars labeled with different letters. Each bar represents a distinct interval, where the endpoints are marked by vertical lines.

- Interval **d** is displayed as a horizontal line, placed above and overlapping interval **e**.
- Interval **e** is aligned with **d** but extends further to the right.
- Interval **f** is located below **d** and **e**, starting left of **d** and overlapping with the starting point of **i**.
- Interval **i** is placed below **e**, starting around the middle of **e** and extending right.
- Interval **c** is depicted parallel to **i**, beginning slightly before the midpoint of **e** but stretches further to the right.
- Interval **h** is located above **e**, starting slightly past the midpoint of **e**, and partially overlapping with **k**.
- Interval **k** is parallel and above **c**, spans a similar length to **c**, and overlaps with both **h** and **g**.
- Interval **g** begins where **k** ends, continuing further to the right.
- Interval **j** is parallel and right-aligned with **g**, but shorter.

**Figure 6.34** showcases these interval relations as an example of interval order representation.
Transcribed Image Text:**Transcription for Educational Website** **12.** Draw the diagram of the interval order represented in Figure 6.34. --- **Diagram Explanation:** In Figure 6.34, an interval representation is shown, consisting of several horizontal bars labeled with different letters. Each bar represents a distinct interval, where the endpoints are marked by vertical lines. - Interval **d** is displayed as a horizontal line, placed above and overlapping interval **e**. - Interval **e** is aligned with **d** but extends further to the right. - Interval **f** is located below **d** and **e**, starting left of **d** and overlapping with the starting point of **i**. - Interval **i** is placed below **e**, starting around the middle of **e** and extending right. - Interval **c** is depicted parallel to **i**, beginning slightly before the midpoint of **e** but stretches further to the right. - Interval **h** is located above **e**, starting slightly past the midpoint of **e**, and partially overlapping with **k**. - Interval **k** is parallel and above **c**, spans a similar length to **c**, and overlaps with both **h** and **g**. - Interval **g** begins where **k** ends, continuing further to the right. - Interval **j** is parallel and right-aligned with **g**, but shorter. **Figure 6.34** showcases these interval relations as an example of interval order representation.
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