9 e 1.5 2 " = 2 X

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The image displays a graph featuring two distinct regions shaded in gray.

1. **Left Region:**
   - The boundary on the left side of this region is defined by the exponential curve \( y = e^x \).
   - The region extends horizontally from \( x = 0 \) to \( x = 1.5 \).
   - The vertical axis is labeled \( y \), and the horizontal axis is labeled \( x \).

2. **Right Region:**
   - This region is a semicircle with a radius \( r = 2 \).
   - The semicircle is positioned so that it extends horizontally from \( x = 1.5 \) to \( x = 3.5 \).

3. **Other Details:**
   - The height of the exponential curve and the semicircle are joined smoothly at \( x = 1.5 \).
   - The entire figure is divided into two main parts: the left part showing the exponential growth, and the right part showing the circular region.

The graph illustrates how different mathematical shapes can be combined to define a particular shaded area.
Transcribed Image Text:The image displays a graph featuring two distinct regions shaded in gray. 1. **Left Region:** - The boundary on the left side of this region is defined by the exponential curve \( y = e^x \). - The region extends horizontally from \( x = 0 \) to \( x = 1.5 \). - The vertical axis is labeled \( y \), and the horizontal axis is labeled \( x \). 2. **Right Region:** - This region is a semicircle with a radius \( r = 2 \). - The semicircle is positioned so that it extends horizontally from \( x = 1.5 \) to \( x = 3.5 \). 3. **Other Details:** - The height of the exponential curve and the semicircle are joined smoothly at \( x = 1.5 \). - The entire figure is divided into two main parts: the left part showing the exponential growth, and the right part showing the circular region. The graph illustrates how different mathematical shapes can be combined to define a particular shaded area.
Find the \( x \) location of the centroid, \( \bar{x} \), of the shape shown below.
Transcribed Image Text:Find the \( x \) location of the centroid, \( \bar{x} \), of the shape shown below.
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