The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y 12 y = g(x) X 12 21 (a) хр (x) * 18 g(x) dx (b) *21 (c) g(x) dx

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The graph of \( g \) consists of two straight lines and a semicircle. Use it to evaluate each integral.

### Graph Description
- The graph shows a function \( y = g(x) \) consisting of two linear segments and a semicircle.
- The x-axis ranges from 0 to 21, and the y-axis ranges from 0 to 12.
- The first linear segment descends from the point (0, 12) to (6, 0).
- From x = 6 to x = 18, the graph is a semicircle centered at x = 12, dipping down to the point (12, 0) as the lowest point.
- The second linear segment ascends from the point (18, 0) to (21, 6).

### Integrals to Evaluate
(a) \(\int_{0}^{6} g(x) \, dx\)

(b) \(\int_{6}^{18} g(x) \, dx\)

(c) \(\int_{0}^{21} g(x) \, dx\)

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Transcribed Image Text:The graph of \( g \) consists of two straight lines and a semicircle. Use it to evaluate each integral. ### Graph Description - The graph shows a function \( y = g(x) \) consisting of two linear segments and a semicircle. - The x-axis ranges from 0 to 21, and the y-axis ranges from 0 to 12. - The first linear segment descends from the point (0, 12) to (6, 0). - From x = 6 to x = 18, the graph is a semicircle centered at x = 12, dipping down to the point (12, 0) as the lowest point. - The second linear segment ascends from the point (18, 0) to (21, 6). ### Integrals to Evaluate (a) \(\int_{0}^{6} g(x) \, dx\) (b) \(\int_{6}^{18} g(x) \, dx\) (c) \(\int_{0}^{21} g(x) \, dx\) ### Assistance - **Need Help?** Options to further understand or master the topic: - **Read It** - **Master It**
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