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...
Related questions
Question
I just need this checked and corrected please
![Consider the curve y = ½³ from x = 0 to x = 3
(a) Write down but DO NOT EVALUATE an integral for arclength of this curve wrt x.
(b) Write down but DO NOT EVALUATE an integral for arclength of this curve wrt y.
(c) Write down but DO NOT EVALUATE an integral for the surface area of the shape created by
revolving this curve around the x-axis wrt x.
(d) Write down but DO NOT EVALUATE an integral for the surface area of the shape created by
revolving this curve around the x-axis wrt y.
(e) Choose one of either (c) or (d) and evaluate it.
Q2) consider the curve y₁ = x² from X=0 to x=3
@arclength
WRT X
L=
√1 + (x²³) ² dx
dy
dy
arclength WRT Y.
dy
व
3√34 = x
-x²
dx = (34) 3
dy
-43
dx = 13 (37) 73
dy
3
2기
Choose
2π
S² 271 1׳3 √1+x+ dx
U=1+x4
х
и
du=4x34x
Z
82
du=x³dx.
о
L:
SA-527yL
9
b
9
√3492
1 2 3
3
X=1
9
X=37=9
radius is y
1+
revolving x-axis
82
182
-> qaπ [(1+ (82)4) 2/2-(1+41)98%]
aπ[ (1+820) -(2)%]
2
27½ u² du
foπ uz du.
182
[dz (1) |]
13/282](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a0802a2-9dd1-43c0-9b3f-3c3accbadbd6%2F1a326068-3981-4d9d-a142-afc80a0cf316%2Fxiam5e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the curve y = ½³ from x = 0 to x = 3
(a) Write down but DO NOT EVALUATE an integral for arclength of this curve wrt x.
(b) Write down but DO NOT EVALUATE an integral for arclength of this curve wrt y.
(c) Write down but DO NOT EVALUATE an integral for the surface area of the shape created by
revolving this curve around the x-axis wrt x.
(d) Write down but DO NOT EVALUATE an integral for the surface area of the shape created by
revolving this curve around the x-axis wrt y.
(e) Choose one of either (c) or (d) and evaluate it.
Q2) consider the curve y₁ = x² from X=0 to x=3
@arclength
WRT X
L=
√1 + (x²³) ² dx
dy
dy
arclength WRT Y.
dy
व
3√34 = x
-x²
dx = (34) 3
dy
-43
dx = 13 (37) 73
dy
3
2기
Choose
2π
S² 271 1׳3 √1+x+ dx
U=1+x4
х
и
du=4x34x
Z
82
du=x³dx.
о
L:
SA-527yL
9
b
9
√3492
1 2 3
3
X=1
9
X=37=9
radius is y
1+
revolving x-axis
82
182
-> qaπ [(1+ (82)4) 2/2-(1+41)98%]
aπ[ (1+820) -(2)%]
2
27½ u² du
foπ uz du.
182
[dz (1) |]
13/282
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 11 images

Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman


Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning