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The graph of g is given below. 6 5 -6 -5 3 Log(x) dx -6 4 -6 + Use the graph to evaluate each definite integral. 6 -3 -2 -1 -6 L₁9(2)dx= -3 = g(x) dx = 3 [₁9(x)\dx = -3 g(x) dx 3 2 1 -1 -2 -3 -4 -5 -6- 1 2 3

The graph of g is given below. 6 5 -6 -5 3 Log(x) dx -6 4 -6 + Use the graph to evaluate each definite integral. 6 -3 -2 -1 -6 L₁9(2)dx= -3 = g(x) dx = 3 [₁9(x)\dx = -3 g(x) dx 3 2 1 -1 -2 -3 -4 -5 -6- 1 2 3

Calculus: Early Transcendentals
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 \( g \) is given below. **Graph Description:** The graph is plotted on a coordinate system ranging from \(-6\) to \(6\) on the x-axis and from \(-6\) to \(6\) on the y-axis. The function \( g(x) \) is drawn with the following characteristics: - From \( x = -6 \) to \( x = -3 \), the graph is a straight line descending from the point \((-6, -3)\) to \((-3, 0)\). - From \( x = -3 \) to \( x = 3 \), the graph forms a semicircle with the highest point at \((0, 3)\). - From \( x = 3 \) to \( x = 6 \), the graph shows a zigzag pattern, descending steeply from \((3, 0)\) to \((4, -3)\), then ascending back to \((6, 0)\). **Tasks:** Use the graph to evaluate each definite integral. 1. \(\int_{-6}^{3} g(x) \, dx = \) [ ] 2. \(\int_{-6}^{4} g(x) \, dx = \) [ ] 3. \(\int_{-3}^{3} g(x) \, dx = \) [ ] 4. \(\int_{-3}^{3} |g(x)| \, dx = \) [ ] 5. \(\int_{-6}^{6} g(x) \, dx = \) [ ] 6. \(\int_{-6}^{6} |g(x)| \, dx = \) [ ] These questions require calculating the area under the curve \( g(x) \) over the specified intervals. For integrals involving absolute values, consider the area without regard to the sign of \( g(x) \).
Transcribed Image Text:The graph of \( g \) is given below. **Graph Description:** The graph is plotted on a coordinate system ranging from \(-6\) to \(6\) on the x-axis and from \(-6\) to \(6\) on the y-axis. The function \( g(x) \) is drawn with the following characteristics: - From \( x = -6 \) to \( x = -3 \), the graph is a straight line descending from the point \((-6, -3)\) to \((-3, 0)\). - From \( x = -3 \) to \( x = 3 \), the graph forms a semicircle with the highest point at \((0, 3)\). - From \( x = 3 \) to \( x = 6 \), the graph shows a zigzag pattern, descending steeply from \((3, 0)\) to \((4, -3)\), then ascending back to \((6, 0)\). **Tasks:** Use the graph to evaluate each definite integral. 1. \(\int_{-6}^{3} g(x) \, dx = \) [ ] 2. \(\int_{-6}^{4} g(x) \, dx = \) [ ] 3. \(\int_{-3}^{3} g(x) \, dx = \) [ ] 4. \(\int_{-3}^{3} |g(x)| \, dx = \) [ ] 5. \(\int_{-6}^{6} g(x) \, dx = \) [ ] 6. \(\int_{-6}^{6} |g(x)| \, dx = \) [ ] These questions require calculating the area under the curve \( g(x) \) over the specified intervals. For integrals involving absolute values, consider the area without regard to the sign of \( g(x) \).
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