Find the areas of the regions . 1. Shared by the circle r = 2 and the cardioid r = 2(1 - cos u) 2. Shared by the cardioids r = 2(1 + cos u) and r = 2(1 - cos u)

Q: Find the area of the region shared by the cardiods r=12(1+cosθ) and r=12(1-cosθ)

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 3 +…

A: Given curves are-           C1 : π = 3 + cos(θ)            C2 : π = 4 - cos(θ)The segmented region…

Q: 6. Determine the area of the region (a) outside the cardioid r = 1 + sin 0 and inside the circle r =…

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Q: Find the areas of the region shared by the circle r=2 and the cardioid r=2(1-cos 0). I r= 2(1-cos 0)

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Q: Find the areas of the regions . 1. Inside one loop of the lemniscate r^2 = 4 sin 2u 2. Inside the…

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Q: Find the area of the region inside the Limaçon r= 3 + 2 cos 0 and outside the circle r = 4. Upload…

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Q: 20. Find the area of the region bounded by the curver=8 cos 20. С. 12л A. 16π В. 32л D. 8t

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Determine the area of the region inside the cardioid r = a(1 + cos θ) and that lies outside the…

A: Given:     Radius of cardioid  r = a(1 + cos θ)     Radius of circle     r = 2a cos θ…

Q: 2. Find the area of the region R that lies inside the cardioid r= (1+ cos0) and outside the circle…

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Q: Find the area of the region inside the circle r = 12sinθ and outside the cardioid r = 4 + 4 sinθ.

A: Area

Q: 6. Determine the area of the region (a) outside the cardioid r =1+ sin ở and inside the circle r = 3…

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Q: 3. Find the area of the region that lies inside the circle r - 1 and outside the cardioid r - 1 -…

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Q: Find the area of the region            Inside the lemniscate r^2 = 6 cos 2u and outside the circle r…

A: Given region inside the  r2=6cos2u and outside the circle r=3

Q: The area of the region inside r = 6 cos 20 the rose and outside the circle = 3/2

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Q: Find the area of the region              Shared by the circle r = 2 and the cardioid r = 2(1 - cos…

A: Given: The circle r = 2 and the cardioid r = 2(1 - cos u)

Q: Find the area of the region inside the inner loop of the limaçon r= 1 + 2 cos 0.

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Q: Find the area of the region common to the two regions bounded by the following curves: r(0) :-3 cos…

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Q: Find the area of the region that lies inside both curves r = 1 + cos(2theta) and r = 1

A: Here we have to find the area of the region that lies inside both curves r = 1 + cos(2θ) and r = 1…

Q: Find the area of the region inside the circle r = 4 cos θ and outside the circle r = 2.

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Q: B. Find the area of the region bounded by the following: 18. common to 7 = 3 cos and r=1+ cos

A: 18. The given curves are r=3cosθ and r=1+cosθ. To find: The area under the curves . Please post the…

Q: 1. Sketch the region enclosed by the given curves: y = e*, y = x² – 1, x = –1, x = 1. Find the area…

A: (1)

Q: 7) Find the area of the region enclosed by the cardioidr = 4 cos 20.

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 1) Find the area a) Inside the cardioid r= 2 cos (0/3) and outside the circle of radius r = v2…

A: q-1(a) find the area inside the cardioid r=2cosθ3 and outside the circle of radius r=2 centered at…

Q: Find the area of the region Shared by the circles r = 2 and the cardioid r = 2(1 - cos u)

A: r=2 and r=21-cosu Now, substitute 2 for r into equation of cardioid. 21-cosu=21-cosu=1cosu=0u=-π2…

Q: 2. Find the length of the curve over the given region. (a) r = e", 0 € [0, 2], (b) r = 8+ 8 cos 0, 0…

A: If we have a curve r=fθ then the length of the curve for θ∈a,b is L=∫abfθ2+dfθdθ2dθ Part(a) We have…

Q: 1. The region inside both the cardioid r =1 – cos 0 and the circle r = 1.

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 11…

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Q: 1. Find the area of the region that lies inside the cardioid r = 1+ sin and outside the circle r =…

A: We need to find area.

Q: Find the areas of the regions . 1Inside the circle r = 4 cos u and to the right of the vertical line…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the area of the region outside the cardioid r = 4 – 4 cos 0 and inside the circle r = 12. NOTE:…

A: Cardioid: r = 4 - 4 cos θ Circle: r = 12 Find the area of the shaded region.

Q: B. Find the area of the region bounded by the following: 18. common to r = 3 cos 0 and 1=1+cos (

A: We have to find the area of the region bounded by r=cosθ and r=1+cosθ

Q: 5) Find the area of the region R that lies inside the cardioid r= 2(1+ cos 0) and outside the…

A: To find the area of region R that lies inside the cardioid r=2(1+cos θ) and outside the circle r=3.

Q: Find the area of the region common to the two regions bounded by the following curves: r(0) = -3 cos…

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Q: 4) Find the area of the region R that lies inside the cardioid r=(1+cos 0 ) and outside the…

A: We have to find area of the region R that lies inside the cardioid , r=(1+cosθ) and outside the…

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r…

A: Given, r= 6 cos(θ) , 0 ≤ θ ≤ π/6

Q: 10) Find the area of the region enclosed by the cardioid r = 12(cos 30).

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Q: The area of the region inside the rose r = 8 cos 20 and outside the circle r = 4/2

A: Given r=8cos2θr=42

Q: 3. Find the area of the region that lies inside the circle r = 1 and outside the cardioid r = 1- cos…

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Q: 3. Find the area of the region that lies inside the circle r - 1 and outside the cardioid r = 1 –…

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Q: The area of the region inside the circle r = 6 cos e and outside the cardioid r = 2(1+ cos 0), a > 0…

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Q: 3. Find the area of the region that lies inside the circle r = 1 and outside the cardioid r = 1 –…

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Q: 4) Find the area of the region common to the interiors of the cardioids r = 1 + cos 0 andr%D 1 - cos…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 3. Find the area of the region that lies inside the circle r = 1 and outside the cardioid r =1– cos…

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Q: B. Find the area of the region bounded by the following: 18. common to r=3 cos 0 and *=1+cos 0

A: Given that r=3cosθ, r=1+cosθ

Q: 4) Find the area of the region common to the interiors of the cardioids r =1 + cos 0 and r%D 1- cos…

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Q: 5) Find the area enclosed by the circle r = 3 cos 0 and the cardioid r =1 + cos 0.

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Q: 6. Determine the area of the region (a) outside the cardioid r =1+ sin ở and inside the circle r = 3…

A: Solution is provided here in the picture

Q: Find the area of the region inside the circle r=1 and outside the cardiod r=1-cose. 0.5 -1.5 -0.5 05…

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Q: 17. Find the area of the region that lies inside the first curve and outside the second curve. r = 2…

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