For the two leaf roser=1+ cos(20) and cardioids r = 1+ sin(e) and shown in the figure. Use double integration in Polar coordinates to find the shaded area. Useful formulas: 6163 cos(28)-1-2 sin² @ r=1+cos (28) 1 + cos 20 cos² (0) = 2 1-cos 20 sin²(0) 2 Questio 2 (40 meinte) r = 1 - sin(8)

For the two leaf roser=1+ cos(20) and cardioids r = 1+ sin(e) and shown in the figure. Use double integration in Polar coordinates to find the shaded area. Useful formulas: 6163 cos(28)-1-2 sin² @ r=1+cos (28) 1 + cos 20 cos² (0) = 2 1-cos 20 sin²(0) 2 Questio 2 (40 meinte) r = 1 - sin(8)

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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Question

For the two leaf rose r=1+ cos(20) and cardioids r = 1+ sin(e) and
shown in the figure. Use double integration in Polar coordinates to find the shaded area.
Useful formulas:
6163
cos(28)-1-2 sin²
r=1+cos (28)
1 + cos 20
cos²(0) =
2
1-cos 20
sin²(8) 2
Questio
2 (40 meinte)
r=1-sin(8)

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