1. Find the area of the region bounded by: 3 4. y³= x² and 2x+y+1=0 and x-y=4 2 ANSWER: 18.3 units

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
1. Find the area of the region bounded by:
3
1. y³ = x² and 2x+y + 1 = 0
:
and x-y=4
2. r= usin²e cose
3. inside r= 3 cose and outside the cardroid
r: 1+ cose
ANSWER: 18.3 units²
ANSWER:
units²
ANSWER: units²
2
I. Find the volume of the solid formed by revolving the region bounded by:
11. y² = 2x and y=x-4 about x-axis and y= x-4
ANSWERS:
113.097 cu-units
361.91 Cu.units
143.95 cu. units
42.41 cu. units
IV. Find the surface area formed by revolving the arc of the curve
17. X = 5 cos³t and y = 5 sin³t
about X=0
ANSWER:
188.50 units
18. 4y = 2x² - Inx from x=1 to x=y about the yaxis
ANSWER:
136.66 units
19. (x-3)² + (y+2)² = 25 about the line X+4=0
ANSWER: 1381-74 units
Transcribed Image Text:1. Find the area of the region bounded by: 3 1. y³ = x² and 2x+y + 1 = 0 : and x-y=4 2. r= usin²e cose 3. inside r= 3 cose and outside the cardroid r: 1+ cose ANSWER: 18.3 units² ANSWER: units² ANSWER: units² 2 I. Find the volume of the solid formed by revolving the region bounded by: 11. y² = 2x and y=x-4 about x-axis and y= x-4 ANSWERS: 113.097 cu-units 361.91 Cu.units 143.95 cu. units 42.41 cu. units IV. Find the surface area formed by revolving the arc of the curve 17. X = 5 cos³t and y = 5 sin³t about X=0 ANSWER: 188.50 units 18. 4y = 2x² - Inx from x=1 to x=y about the yaxis ANSWER: 136.66 units 19. (x-3)² + (y+2)² = 25 about the line X+4=0 ANSWER: 1381-74 units
Expert Solution
steps

Step by step

Solved in 4 steps with 6 images

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