x+y-z+9=0 (5.) Electric charge is distributed across the elliptical-shaped portion of the surface of the plane that lies inside the cylinder of radius three running along the z-axis. If the charge density function is given by σ(x, y, z) = x² + y²z, determine the total charge. Q = 55øds S 2= x + 4+9 Zx = 1 Zy= } √2x²+22+1= √3 } => ds = √3dA = √3rdrd 0≤r≤3 020621 Don Si 2 $(x, y, x+y+q) = х² (x+y+q) +у 2 (x+y+q)» (к²+у2) (х+у+9) = Q = 2R 3 = = (x²+y²) 2 r² [rcos(e) +rs=(0) +9] in polar Sods = √35 fr² [+cose +rsico) +9] =555 0 0 217 3 = √3 3 0 20 r rdrdo "cos (e) + "si (0) + 9 ³ Jorda r*dr. S costoro + 3 2 + 20 do over full period of each T. - function 4 3 9г +2771 0 4 = √3.27 9/3-0) = √311 6 3 = 2 729√31 2
x+y-z+9=0 (5.) Electric charge is distributed across the elliptical-shaped portion of the surface of the plane that lies inside the cylinder of radius three running along the z-axis. If the charge density function is given by σ(x, y, z) = x² + y²z, determine the total charge. Q = 55øds S 2= x + 4+9 Zx = 1 Zy= } √2x²+22+1= √3 } => ds = √3dA = √3rdrd 0≤r≤3 020621 Don Si 2 $(x, y, x+y+q) = х² (x+y+q) +у 2 (x+y+q)» (к²+у2) (х+у+9) = Q = 2R 3 = = (x²+y²) 2 r² [rcos(e) +rs=(0) +9] in polar Sods = √35 fr² [+cose +rsico) +9] =555 0 0 217 3 = √3 3 0 20 r rdrdo "cos (e) + "si (0) + 9 ³ Jorda r*dr. S costoro + 3 2 + 20 do over full period of each T. - function 4 3 9г +2771 0 4 = √3.27 9/3-0) = √311 6 3 = 2 729√31 2
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
Please review and solve the following problem. The screenshot listed already has some work done and the correct answer listed. Please solve the problem and include an explanation of how the work was solved. Also, Please make sure to double check the answer provided matches up with the screenshot and the work is properly formatted so I am able to follow along. Thanks :)
![x+y-z+9=0
(5.) Electric charge is distributed across the elliptical-shaped portion of the surface of the plane
that lies inside the cylinder of radius three running along the z-axis. If the charge
density function is given by σ(x, y, z) = x² + y²z, determine the total charge.
Q = 55øds
S
2= x +
4+9
Zx = 1
Zy=
} √2x²+22+1= √3 } =>
ds = √3dA
=
√3rdrd
0≤r≤3
020621
Don Si
2
$(x, y, x+y+q) = х² (x+y+q) +у 2 (x+y+q)» (к²+у2) (х+у+9)
=
Q =
2R 3
=
= (x²+y²)
2
r² [rcos(e) +rs=(0) +9] in polar
Sods = √35 fr² [+cose +rsico) +9]
=555
0
0
217
3
=
√3
3
0
20
r
rdrdo
"cos (e) + "si (0) + 9 ³ Jorda
r*dr. S costoro
+
3
2
+
20
do
over full period of each
T. - function
4
3
9г
+2771
0
4
=
√3.27
9/3-0) = √311
6
3
=
2
729√31
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4effdf1a-67d0-42fb-b95c-7c4b54ad0624%2Fe6371fb0-7743-4d22-960b-5b3e28bab812%2Fs74lta_processed.png&w=3840&q=75)
Transcribed Image Text:x+y-z+9=0
(5.) Electric charge is distributed across the elliptical-shaped portion of the surface of the plane
that lies inside the cylinder of radius three running along the z-axis. If the charge
density function is given by σ(x, y, z) = x² + y²z, determine the total charge.
Q = 55øds
S
2= x +
4+9
Zx = 1
Zy=
} √2x²+22+1= √3 } =>
ds = √3dA
=
√3rdrd
0≤r≤3
020621
Don Si
2
$(x, y, x+y+q) = х² (x+y+q) +у 2 (x+y+q)» (к²+у2) (х+у+9)
=
Q =
2R 3
=
= (x²+y²)
2
r² [rcos(e) +rs=(0) +9] in polar
Sods = √35 fr² [+cose +rsico) +9]
=555
0
0
217
3
=
√3
3
0
20
r
rdrdo
"cos (e) + "si (0) + 9 ³ Jorda
r*dr. S costoro
+
3
2
+
20
do
over full period of each
T. - function
4
3
9г
+2771
0
4
=
√3.27
9/3-0) = √311
6
3
=
2
729√31
2
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 2 steps
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