Find the area of the region shared by the cardioids r= 12(1+ cos 0) and r= 12(1- cos 0). The area shared by the two cardioids is

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 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: 2. Find the area of the region inside the cardioids r= a(1+ cos 0), a>0

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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 area of the region shared by the circle r=2 and the cardioid r=2(1-cos 0).

A: r=2 and r=21-cosθ Point of intersection 21-cosθ=21-cosθ=1cosθ=0θ=π2 So,  Area=Area of half…

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 inside r = cos 0 and outside r = 1 – cos 0

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Q: Find the area of the region that lies inside both cardioids. r = 1 + cos0 and r=1- coso

A: We have to evaluate the area of the region that lies inside both cardioids.…

Q: Find the area of the region thatlies inside the cardioid r = 1 + cos θand outside the circler = 1.

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Q: Find the area of the region bounded above by y = 2 cos x and below by y = sec x, -pai/4<= x<=…

A: Given curves are:

Q: Find the area of the region bounded by.r=7 cos(80)0<8<2n %3D

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Q: Find the area of the region Interior of r = 5(1 − sin θ)

A: Given Data The equation of region is r=51-sinθ.   The region lies under the limit of 0≤θ≤π.   The…

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: .: The area of the region that is inside of the cardioid r = 2 +2 cos 0 and outside of the circle r=…

A: Area in polar form given below

Q: Find the area of the region enclosed between y = 2 sin(x) and y = 2 cos(x) from x = 0 to 0.47. X =…

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Q: 4. Find the area of the region that is in the interior of the two cardioids, 'i =1+sin(0) and r,…

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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 outside r = 7+ 7 sin 0 , but inside r = 21 sin 0. Preview

A: Given Data The outside function is r=7+7 sin θ. The inside function is r=21 sin θ.   Equate the…

Q: Find the area of the region outside r = 6+ 6 sin 0 , but inside r = 18 sin 0.

A: The given curves are,r=6+6sinθ=r1(let)and r=18sinθ=r2(let) We need to find the area of the sketched…

Q: Find the area of the given region analytically. Common interior of r = 3 – 2 sin 0 and r = -3 + 2…

A: Consider the provided question, The graph of the given equation is drawn as,

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 outside r = 5 + 5 sin 0 , but inside r = 15 sin 0.

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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 in the first quadrant within the cardioid r = 1 + sinθ.

A: The area of the region in the first quadrant within the cardioid r=1+sinθ.

Q: Find the area of the region outside 5+5 sin 0, but inside r 15 sin 0.

A: The area of the polar region: - The area of the polar region R is(r,θ): 0≤g(θ)≤r≤h(θ),α≤θ≤β where…

Q: Find the area of the region that lies inside the curve r = 10 cos 0 and outside the curve r = 5,…

A: Given curve r=10 cos θ, r=5

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 inside the cardioid r = 4(1+ cos(0)).

A: The given equation of cardioid is: r=4(1+cos θ)

Q: Find the area of the region enclosed between y = 3 sin(x) and y = 2 cos(x) from x = 0 tox = 0.5x.…

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Q: 4. Sketch the curve of r2 = cos 20 and find the area that encloses it. Show your complete solution.

A: In polar coordinates,  r=x2+y2, θ=tan-1yx Converting the polar equation to cartesian coordinate…

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: 9) Find the area of the region common to the r= (1+ cos 0) and r = (1- cos 0 ).

A: For the given problem Diagram is given as follows:

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: 1. Calculate the area of the region inside the curve r = 2(1- cos 0) outside the curve r = -6 cos 0.…

A: We have to draw the graph and calculate  the area of the region inside the curve r = 2(1- cos θ)…

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: Find the area of the region shared by r =1+ cos 0 and r =1– cos 0.

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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: 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 region shared by r=1+ cos 0 and r =1– cos 0.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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: Find the area of the region outside r = 10 + 10 sin 0, but inside r 30 sin 0.

A: Consider the given: Find the area of region outside r = 10+10sinθ and inside r = 30sinθ.Find the…

Q: Find the area of the green shaded of the region where r = - cos(20) and r = - cos(0) as shown in…

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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 the region that lies inside both curves. r = 2 + cos(8), r = 2 - cos(8)

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Q: The area of the region enclosed by y = 8 +|cos x|, y=8, x = 7n and x = 187 is

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Q: Find the area of the shaded region. r = 3+2 cos 0 r = sin 20

A: Area of polar region =                                    integration of r^2/2 d(theta)

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,