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Electric charge is distributed over a surface bounded by the polar curve r = 1+ cos(0) as seen in the picture according to the different charge density functions σ x given in parts a and b. The general rule for calculating he total charge over any region D in the plane then is Q = odA A) X Determine the total charge if σa (x, y) = x² + y² B) Y Determine the total charge if σ(x, y): 2:2 V + y² D 05h Ө -0.sh 0.5 1.0

Electric charge is distributed over a surface bounded by the polar curve r = 1+ cos(0) as seen in the picture according to the different charge density functions σ x given in parts a and b. The general rule for calculating he total charge over any region D in the plane then is Q = odA A) X Determine the total charge if σa (x, y) = x² + y² B) Y Determine the total charge if σ(x, y): 2:2 V + y² D 05h Ө -0.sh 0.5 1.0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 97E
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Electric charge is distributed over a surface bounded by the polar curve r = 1+ cos(0) as seen in the picture according to the different charge density functions σ x given in parts a and b. The general rule for calculating he total charge over any region D in the plane then is Q = odA A) X Determine the total charge if σa (x, y) = x² + y² B) Y Determine the total charge if σ(x, y): 2:2 V + y² D 05h Ө -0.sh 0.5 1.0
Transcribed Image Text:Electric charge is distributed over a surface bounded by the polar curve r = 1+ cos(0) as seen in the picture according to the different charge density functions σ x given in parts a and b. The general rule for calculating he total charge over any region D in the plane then is Q = odA A) X Determine the total charge if σa (x, y) = x² + y² B) Y Determine the total charge if σ(x, y): 2:2 V + y² D 05h Ө -0.sh 0.5 1.0
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