In 0, 1s 0 2T9-12 Sketch the curve and find the area that it encloses.10. r 1 sin 09. r 2 sin e12. r 2 cos 011. r3 +2 cos 013-16 Graph the curve and find the area that it encloses.14. r 3 2 cos 4013. r 2+sin 4016. r15. V1 + cos2 (50)1 + 5 sin 6017-21 Find the area of the region enclosed by one loop ofthe curve.18. r2 4 cos 2017. r 4 cos 3020. r 2 sin 5019. r sin 4021. r1+ 2 sin 0 (inner loop)22. Find the area enclosed by the loop of the strophoidr 2 cos e - sec 0.23-28 Find the area of the region that lies inside the first curveand outside the second curve.23. r 4 sin 0,r=224. r1sin 0, r= 1

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Asked Oct 31, 2019
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Find the area of the region enclosed by one loop of the curve.

18. r^2 = 4cos2(theta)

In 0, 1s 0 2T
9-12 Sketch the curve and find the area that it encloses.
10. r 1 sin 0
9. r 2 sin e
12. r 2 cos 0
11. r3 +2 cos 0
13-16 Graph the curve and find the area that it encloses.
14. r 3 2 cos 40
13. r 2+sin 40
16. r
15. V1 + cos2 (50)
1 + 5 sin 60
17-21 Find the area of the region enclosed by one loop of
the curve.
18. r2 4 cos 20
17. r 4 cos 30
20. r 2 sin 50
19. r sin 40
21. r1+ 2 sin 0 (inner loop)
22. Find the area enclosed by the loop of the strophoid
r 2 cos e - sec 0.
23-28 Find the area of the region that lies inside the first curve
and outside the second curve.
23. r 4 sin 0,
r=2
24. r1sin 0, r= 1
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In 0, 1s 0 2T 9-12 Sketch the curve and find the area that it encloses. 10. r 1 sin 0 9. r 2 sin e 12. r 2 cos 0 11. r3 +2 cos 0 13-16 Graph the curve and find the area that it encloses. 14. r 3 2 cos 40 13. r 2+sin 40 16. r 15. V1 + cos2 (50) 1 + 5 sin 60 17-21 Find the area of the region enclosed by one loop of the curve. 18. r2 4 cos 20 17. r 4 cos 30 20. r 2 sin 50 19. r sin 40 21. r1+ 2 sin 0 (inner loop) 22. Find the area enclosed by the loop of the strophoid r 2 cos e - sec 0. 23-28 Find the area of the region that lies inside the first curve and outside the second curve. 23. r 4 sin 0, r=2 24. r1sin 0, r= 1

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Expert Answer

Step 1

Refer to the question we need to find the area of the region enclosed by one loop of the curve.

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r2 = 4cos 20

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Step 2

First graph the polar equation as ,

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p2=4cos 20 r t4cos 20 Now when 0 0,r = 2 And when e=.r= 0 4

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Step 3

Now sketch the graph as the graph will be s...

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2 . A n

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Math

Calculus

Integration