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)

Q: (b) Sketch the graph of the cardioids r = 2(1+ sin 0) and r 1- sin 0. Find the area of the region…

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Q: Find the area of the region that is bounded by the curve ,2 - 11 sin 2 A, where r 20 and Us e 2

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Q: Find the area of the region enclosed by one loop of the curve. r = 8 sin(5θ)

A: Our Aim is to find the area of the region bounded by one loop of the curve given by r=8 sin(5θ) -(i)

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: Find the area of the region that lies inside both curves. r = 2 + cos(0), r = 2 - cos(0)

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Q: Find the area of the region bounded by: r = 7 cos(100) 0 < 0 < 2n

A: The formula for area is - A=12∫abr2dθ

Q: Find the area enclosed by the loop r = 2 cos 0 -- sec 0.

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Q: 7) Find the area of the region that lies inside both of r = 1 - cos 0 r = 1 - cos 0 the curves and

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Q: Find the area of the region enclosed by the inner loop of the curve. r = 4 + 8 sin(0)

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Q: Find the area of the region enclosed r = 2+ 6 cos 0 form 0 = 0 to 0 = ; %3D

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Q: Find the area of the region that lies inside the curve r = 3 sin θ and outside the curve r = 2 −sin…

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Q: 2. Find the area of the region that lies inside both curves r = 4 sin(0) and r = 4 cos(0) ● 플 +1 2T…

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Q: Find the area of the region enclosed by the astroid: x = a cos 0, y = a sin³ 0 y A а -a а -a

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Q: Find the area of the region enclosed by one loop of the curve. r = 8 sin(30)

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Q: Find the area of the region that lies inside both curves. r = 6 + 5 sin(0), r= 6 + 5 cos(0)

A: The area of the region that is to be found is graphed below. The blue curve indicates the equation…

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 common to the circles r= - 2 cos 0 and r= 1.

A: Given, r = -2cosθ, r=1point of intersection-2cosθ=1 ⇒cosθ=-12⇒θ=π-π3, π+π3    =2π3, 4π3

Q: Find the area of the region. Interior of r = 6 sin 0

A: A detailed solution is given below.

Q: Find the area of the region                  Inside one loop of the lemniscate r^2 = 4 sin 2u

A: Given: r2= 4 sin 2u

Q: Find the area of the region bounded by: r : 6 cos(40) 0 <0 < 2n %3D

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 6 - 6…

A: The given region is r=6-6sinθ, r=6.

Q: Find the area of the region shared by the cardioids r= 8(1 + cos 0) and r= 8(1 - cos 0).

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 1 +…

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Q: Find the area of the region that lies inside both curves. r= 6 + 4 sin 0, r=6 + 4 cos 0

A: The solution is given below

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

A: By sketching graph

Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 6 – 6…

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Q: Find the area of the region common to the interiors of the cardioids r = 1 + cos u and r = 1 - cosu.

A: Given the equations: (u replaced with theta)

Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 10…

A: The required region is as follows.

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

A: Given: First curve r=3cosθ. Second curve r=1+cosθ. To find: Area of the region that lies inside…

Q: Find the area of the region that lies inside both curves. r = 2 + cos(0), r= 2 – cos(0)

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Q: 2. Find the area of the region that lies inside both curves = 4 sin(0) and r = 4 cos(0) O +1 2T - 1…

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Q: (3) Find the total area of the region trapped between y = sin x and y = cos x and lines x = and x =…

A: The equation of the curves are C1: y = sin(x) C2: y = cos(x) C3: x = π4 C3: x = 214 To evaluate: The…

Q: Find the area of the region that lies inside the cardoid r = 1 + cos 0, and outside the circle r =…

A: We have to use formula for area under a polar curve.

Q: Find the area of the region which is in r = 3 cos(0) and outside the curve r = 2 – 1 cos(0)

A: The area is  43+8π3

Q: the region bounded by the curves r = 2 cos 30 and x = y -1. %3D

A: Sol

Q: Find area of the region lying inside the circle r(0) = 3 sin 0 and outside of the %3D cardioid r(8)…

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Q: Sketch the region enclosed by the given curves and solve for the area. y = 2 cos(4x),    y = 2…

A: The given two function are y = 2cos (4x) and y = 2sin (8x).The region enclosed by the curve y = 2cos…

Q: The area of the region in the first quadrant that is within the cardioid r = 1 - cos0 is

A: Givne that  r=1-costheata To find teh area of the region

Q: Find the area of the specified region. Inside the circler= 3 sin 0 and outside the cardioid r= 1 +…

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Q: 2. Find the area of the region that lies inside both curves * r = 4 sin(0) and = 4 cos(0) 2л — 1 ●…

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Q: 8) Find the area of the region that lies inside both of the curves r = 1 + cos 0 and r = 1 - cos 0…

A: We have to find the area between the given polar curves. The graph of these curves is as shown…

Q: Find the area of a region which is bounded by outside of the circle r = 2 and inside the cardioid r…

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Q: Find the area of the region that lies inside both curves. r = 5 + 3 sin(0), r = 5 + 3 cos(0)

A: The equation of curves are r=5+3sinθ  and  r=5+3cosθ.

Q: Find the area of the region bounded by the given pair of curves. Area inside the circle r = 3 cos 0…

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Q: Find the the region that lies inside the area OF Curve r- sin o and outside the curve r: 1+ sin 0.

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Q: r = 2 + sin 0, r= 3 sin 0

A: For given  r = 3sin(θ) r =2+sinθ Area is calculated as shown below

Q: Find the area of the region common to the interiors of the cardioids r = 1 + cos θ and r = 1 - cos…

A: The figure below shows the common region shared by the cardioids,