(a) At which of the points A-C is pressure increasing in the northern direction? Explain how you know. (b) At which of the points A-C is pressure increasing in the westerly direction. Explain how you know. (c) For each of A-C, indicate in which of the four cardinal directions, N, S, E, or W, pressure is increasing the greatest. Explain your reasoning.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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### Atmospheric Pressure Map Analysis

**Map Description:**
The map shows the continental United States with various isobars, which are lines of constant atmospheric pressure measured in millibars (mb). The isobars are labeled with pressure values at intervals, illustrating regions of high and low pressure. There are three marked points A, B, and C which are used for the following questions.

**Questions and Instructions:**

1. **At which of the points A-C is pressure increasing in the northern direction?** *Explain how you know.*

2. **At which of the points A-C is pressure increasing in the westerly direction?** *Explain how you know.*

3. **For each of A-C, indicate in which of the four cardinal directions (N, S, E, W) pressure is increasing the greatest.** *Explain your reasoning.*

**Detailed Analysis for Each Question:**

1. **Pressure Increase in the Northern Direction:**
    - **Point A:** The isobars around point A show higher pressure values (1020 mb) towards the north and lower pressure values (1012 mb) towards the south, indicating an increase in pressure heading north.
    - **Point B:** The pressure isobars around point B indicate lower pressure (1012 mb) further south and higher pressure (1032 mb) further north, so pressure also increases in the northern direction.
    - **Point C:** Point C is located between isobars indicating 1016 mb to the north and 1012 mb to the south, so the pressure increases as we move north.
    
    At all points A, B, and C, pressure increases towards the north.

2. **Pressure Increase in the Westerly Direction:**
    - **Point A:** The isobars here show increasing pressure values towards the west; to the west of A, the pressure is 1020 mb, and to the east, it is 1012 mb, suggesting an increase in the westerly direction.
    - **Point B:** The isobars close to point B suggest decreasing pressure towards the east and increasing towards the northwest and west. Any movement directly west from B also takes us towards a higher pressure.
    - **Point C:** The isobars to the east of point C (1016 mb) indicate lower pressure compared to the west (1012 mb), meaning pressure increases towards the west.
    
    At all points A, B, and
Transcribed Image Text:### Atmospheric Pressure Map Analysis **Map Description:** The map shows the continental United States with various isobars, which are lines of constant atmospheric pressure measured in millibars (mb). The isobars are labeled with pressure values at intervals, illustrating regions of high and low pressure. There are three marked points A, B, and C which are used for the following questions. **Questions and Instructions:** 1. **At which of the points A-C is pressure increasing in the northern direction?** *Explain how you know.* 2. **At which of the points A-C is pressure increasing in the westerly direction?** *Explain how you know.* 3. **For each of A-C, indicate in which of the four cardinal directions (N, S, E, W) pressure is increasing the greatest.** *Explain your reasoning.* **Detailed Analysis for Each Question:** 1. **Pressure Increase in the Northern Direction:** - **Point A:** The isobars around point A show higher pressure values (1020 mb) towards the north and lower pressure values (1012 mb) towards the south, indicating an increase in pressure heading north. - **Point B:** The pressure isobars around point B indicate lower pressure (1012 mb) further south and higher pressure (1032 mb) further north, so pressure also increases in the northern direction. - **Point C:** Point C is located between isobars indicating 1016 mb to the north and 1012 mb to the south, so the pressure increases as we move north. At all points A, B, and C, pressure increases towards the north. 2. **Pressure Increase in the Westerly Direction:** - **Point A:** The isobars here show increasing pressure values towards the west; to the west of A, the pressure is 1020 mb, and to the east, it is 1012 mb, suggesting an increase in the westerly direction. - **Point B:** The isobars close to point B suggest decreasing pressure towards the east and increasing towards the northwest and west. Any movement directly west from B also takes us towards a higher pressure. - **Point C:** The isobars to the east of point C (1016 mb) indicate lower pressure compared to the west (1012 mb), meaning pressure increases towards the west. At all points A, B, and
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