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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Question
Determine the area of the shaded region in the following functions 9, 10, 11 please

Transcribed Image Text:**Practice Exercises**
**9-30. Finding area** Determine the area of the shaded region in the following figures.
**9.**
- Graph of two functions: \( y = x \) (linear, red) and \( y = x^2 - 2 \) (parabolic, black).
- The shaded region is between the curves, where they intersect.
**10.**
- Graph of two functions: \( y = -x^2 + 4x \) (parabolic, black) and \( y = x^2 - 2x \) (parabolic, red).
- The shaded region lies between the two parabolas.
**11.**
- Graph of two functions: \( y = \frac{6}{x^2 + 1} \) (rational, black) and \( y = 3x^2 \) (parabolic, red).
- The shaded region is the area between these curves.
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