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1.8 Consider the double integral VP 12 + y? ry where R is the region of the XY plane, given in the attached graph. (- 1y+y=1 When transforming the previous integral applying change of variable in polar coordinates, we obtain nin 0 / con²6 " sin cos 0 drdo /4 A) I = sin ở cos 0 drdo + /6 J2 cos 6 /3 psin 0/ cos e B) I = sin ở cos 0 drde + sin 0 cos 0 drde /6 cicose /4 pcos/ sine c) I = me r sin 6 cos 0 drd0 r sin 0 cos 0 drde + Jo /6 /4 */3 sin 0/ cos D) I = ["T: r sin ở cos 0 drdo + r sin 0 cos 0 drdo %3D /4

1.8 Consider the double integral VP 12 + y? ry where R is the region of the XY plane, given in the attached graph. (- 1y+y=1 When transforming the previous integral applying change of variable in polar coordinates, we obtain nin 0 / con²6 " sin cos 0 drdo /4 A) I = sin ở cos 0 drdo + /6 J2 cos 6 /3 psin 0/ cos e B) I = sin ở cos 0 drde + sin 0 cos 0 drde /6 cicose /4 pcos/ sine c) I = me r sin 6 cos 0 drd0 r sin 0 cos 0 drde + Jo /6 /4 */3 sin 0/ cos D) I = ["T: r sin ở cos 0 drdo + r sin 0 cos 0 drdo %3D /4

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1.8 Consider the double integral ry I = dA 1² + y? where Ris the region of the XY plane, given in the attached graph. (2 - 2)* + v = 4 R (エ-1+=1 When transforming the previous integral applying change of variable in polar coordinates, we obtain rsin 0/ cos? e sin e cos 0 drdo A) I = sin 0 cos 0 drde + 2 cos e */6 J2 cos 0 7/4 B) I = /3 rsin 0/ cos e sin 0 cos 0 drde + sin 0 cos 0 drde 4 cos 0 r sin 0 cos 0 drde + /6 cos / sin? e C) I = r sin 0 cos 0 drde J2 cos 0 /6 /4 /3 sin 0/ cos D) I = r sin 0 cos 0 drdo + r sin 0 cos 0 drd0 */4
Transcribed Image Text:1.8 Consider the double integral ry I = dA 1² + y? where Ris the region of the XY plane, given in the attached graph. (2 - 2)* + v = 4 R (エ-1+=1 When transforming the previous integral applying change of variable in polar coordinates, we obtain rsin 0/ cos? e sin e cos 0 drdo A) I = sin 0 cos 0 drde + 2 cos e */6 J2 cos 0 7/4 B) I = /3 rsin 0/ cos e sin 0 cos 0 drde + sin 0 cos 0 drde 4 cos 0 r sin 0 cos 0 drde + /6 cos / sin? e C) I = r sin 0 cos 0 drde J2 cos 0 /6 /4 /3 sin 0/ cos D) I = r sin 0 cos 0 drdo + r sin 0 cos 0 drd0 */4
Here is an Ray, region, in the XY plane: y-1 Rey Consider the change of variable u= 3r + yand "=I-Y znd the integral 1 - ." If Ruv is the region in the UV plane generated with the change of variable above, then it is true what: A) I = (u- 30) - e -dA 16 (30 - u) -e/ -dA B) I = Ru 16 ( - 30) -dAye C) /- 4. Ru. - The (3v-u) -e/ D) I= -dA
Transcribed Image Text:Here is an Ray, region, in the XY plane: y-1 Rey Consider the change of variable u= 3r + yand "=I-Y znd the integral 1 - ." If Ruv is the region in the UV plane generated with the change of variable above, then it is true what: A) I = (u- 30) - e -dA 16 (30 - u) -e/ -dA B) I = Ru 16 ( - 30) -dAye C) /- 4. Ru. - The (3v-u) -e/ D) I= -dA
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