Example 1: Find the area of the region bounded by the graph of f(x) = 3 – x² and g(x) = x – 3. a) Graph each curve. b) Notice that the graphs have two points of intersection. To find the x-coordinates of these points, set f(x) and g(x) equal to each other and solve for x. Label these points in the graph y A 10 from part a. -10-9-8 7-6-5 2-1 3 4 5 6 8 9 10 r -2 c) A rectangular slice from the desired region is given d) Set up and evaluate the definite integral that gives the area between the two curves. below. Label the width and length. Write an expression that would give the area of this rectangle. [Similar to the notes). of 1 Rectangle
Example 1: Find the area of the region bounded by the graph of f(x) = 3 – x² and g(x) = x – 3. a) Graph each curve. b) Notice that the graphs have two points of intersection. To find the x-coordinates of these points, set f(x) and g(x) equal to each other and solve for x. Label these points in the graph y A 10 from part a. -10-9-8 7-6-5 2-1 3 4 5 6 8 9 10 r -2 c) A rectangular slice from the desired region is given d) Set up and evaluate the definite integral that gives the area between the two curves. below. Label the width and length. Write an expression that would give the area of this rectangle. [Similar to the notes). of 1 Rectangle
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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please help me answer the full question, if per policy you cant, please only help me with part C and D
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