y = x2 − 2x,  y = 4x + 7 find area of region

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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y = x2 − 2x,  y = 4x + 7
find area of region
The image displays a coordinate plane with the x-axis labeled as "x" and the y-axis labeled as "y." A shaded area is present on the graph, which represents a region bounded by curves or lines. The y-axis is marked with intervals of 10, going from 0 to 50, and the x-axis is marked with intervals of 2, ranging from 0 to beyond 6.

The shaded region is a triangular-like shape, beginning at the origin (0,0) and extending along the x-axis up to approximately 6 or 7. The upper boundary of the shape slopes upward, forming a curved line that creates a tapering effect as it approaches the right edge of the graph.

Inside the shaded region, there is a red vertical line (indicative of a rectangle) at x = 2. This line extends from the x-axis up to the curved boundary, representing a differential element for integration purposes, commonly used in calculus to find areas under a curve or volumes of solids of revolution.

This graph is indicative of a setup for calculating an integral, potentially representing the area under a curve or surface. The presence of such a diagram suggests topics such as definite integrals, volumes of revolution, or related calculus concepts.
Transcribed Image Text:The image displays a coordinate plane with the x-axis labeled as "x" and the y-axis labeled as "y." A shaded area is present on the graph, which represents a region bounded by curves or lines. The y-axis is marked with intervals of 10, going from 0 to 50, and the x-axis is marked with intervals of 2, ranging from 0 to beyond 6. The shaded region is a triangular-like shape, beginning at the origin (0,0) and extending along the x-axis up to approximately 6 or 7. The upper boundary of the shape slopes upward, forming a curved line that creates a tapering effect as it approaches the right edge of the graph. Inside the shaded region, there is a red vertical line (indicative of a rectangle) at x = 2. This line extends from the x-axis up to the curved boundary, representing a differential element for integration purposes, commonly used in calculus to find areas under a curve or volumes of solids of revolution. This graph is indicative of a setup for calculating an integral, potentially representing the area under a curve or surface. The presence of such a diagram suggests topics such as definite integrals, volumes of revolution, or related calculus concepts.
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