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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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
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