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...
icon
Related questions
Question

please help me answer the full question, if per policy you cant, please only help  me with part C and D

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
Transcribed Image Text: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
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning