Homework Help is Here – Start Your Trial Now!
Math
Calculus
EXAMPLE 1 Finding a Volume Find the volume of the region D enclosed by the surfaces z = x? + 3y? and z 8 - x? - y?. Leaves at z = 8-x- y z= 8 - x -y? The curve of intersection D (-2,0,4) (2, 0, 4) + 3y Enters at z =x + 3y? 2,0.0) Enters at y= -V(4-x/2 (x, y) +2y = 4 (2,0, 0) Leaves at y= V(4 - x)/2 18

EXAMPLE 1 Finding a Volume Find the volume of the region D enclosed by the surfaces z = x? + 3y? and z 8 - x? - y?. Leaves at z = 8-x- y z= 8 - x -y? The curve of intersection D (-2,0,4) (2, 0, 4) + 3y Enters at z =x + 3y? 2,0.0) Enters at y= -V(4-x/2 (x, y) +2y = 4 (2,0, 0) Leaves at y= V(4 - x)/2 18

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...
See similar textbooks
icon
Related questions
Question
EXAMPLE 1 Finding a Volume Find the volume of the region D enclosed by the surfaces z = x? + 3y? and z = 8 - x? Mt Leaves at z = 8 - x - y? z = 8 - x -y? The curve of intersection D (-2,0, 4) (2, 0, 4) Enters at z = x + 3y? Enters at T-2,0.0) y=-V(4 -x)/2 +2y? = 4 (2,0, 0) Leaves at y = V(4 -2 18
Transcribed Image Text:EXAMPLE 1 Finding a Volume Find the volume of the region D enclosed by the surfaces z = x? + 3y? and z = 8 - x? Mt Leaves at z = 8 - x - y? z = 8 - x -y? The curve of intersection D (-2,0, 4) (2, 0, 4) Enters at z = x + 3y? Enters at T-2,0.0) y=-V(4 -x)/2 +2y? = 4 (2,0, 0) Leaves at y = V(4 -2 18
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS