Find the area inside the circle r = 6cosθ and outside the cardioid r = 2(1 + cosθ).

Q: Find the area of the region that lies inside both of the circles; r=2cosθ r=cosθ-sinθ

A: In the question it is asked to calculate the area between curves r=2cosθ and r=cosθ-sinθ.

Q: Find the area of the region in the first quadrant that is within the cardioid r = 1−cosθ.

A: Given- r=1-cosθ. To find- The area of the region in the first quadrant that is within the above…

Q: Find the area inside the circle r = -3a cos0 and outside the cardioid r = a(1- cos 0).

A: Area Inside the circle and outside the cardioid can be calculated by using integration concept and…

Q: Find the area of the shaded region. r=av cos 20

A: The given polar equation is: r=acos (2θ) The given region is from θ=-π4 to θ=π4

Q: Find the area Inside the lemniscate r = 6 cos 20 and outside the circle r = 3.

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

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: Find the area of the region. Interior of r = 8 cos e

A: Given equation :

Q: Find the area of the region Inside one leaf of the four-leaved rose r = cos 2u

A: Given:  r = cos 2u

Q: Find the areas of the regions Inside the circle r = 4 sin θ and below the horizontal liner = 3 csc θ

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Q: Sketch the curve and find the area that the curve encloses. r = 3 cos 50

A: The solution for the above question is as shown below.

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

A: Area

Q: Find the area a) Inside the lemniscate r = 6 cos 20 and outside the circle r = V3.

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: Find the area of the described region. region enclosed by one petal of  r = 6 cos(4?)

A: A=integration a to b 1/2r^2d(thita)

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: Find the area of the region enclosed by the inner loop of the curve. r = 2 + 4 sin ?

A:

Q: In each of the following cases, find the area of the region that lies inside the cardioid = 1+ sine…

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Q: Find the area of the region that lies inside the circle r= 1 and outside the cardioid r= 1−cosθ.

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Q: Find the area of the region that is inside the circle r = sin θ and outside the cardioid r = 1 −cos…

A: Please see the below picture for detailed solution.

Q: Compute the area of the region in the first and fourth quadrants outside the circle r V2 and inside…

A: Given region is the portion inside the lemniscate r2=4cos2θ & outside the circle r2=2. Area…

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 inside the circle r = 4 cos θ and outside the circle r = 2.

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Q: Find the area of the region inside one leaf of the three-leaved rose r=2 cos 30.

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Q: Find the area of the specified region. Shared by the circles r = 3 and r= 6 sin e

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Q: 4.) Find the area inside the circle r=v2sin (0) and the lemniscate r2 = cos(20)

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Q: Find the area inside the large loop and outside the small loop of r = 1 + 5 sin(θ)

A: Given, r=1+5sinθ Firstly, sketch the graph of the region to find the area.

Q: Q-Find the area of the region that outside r= 2 sin (e) and inside r= (1+cos e)? %3D

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Q: (b) Sketch and find the area of the region enclosed by the curve r = 4 cos 30

A: b) Given region is r=4cos3θ. Sketch the graph of the region as shown below.

Q: r = 4 cos 30

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Q: Find the area of the region that lies inside the circle r = 1 utside the cardioid r = 1 – cos 0.

A: First draw both graph of the function and find the intersection point of the graph:

Q: 4. Find the area that lies inside the curve r = 4 cos and outside the curve r = 2.

A: Given, curves are

Q: Find the area of the region. Interior of r = 8 sin e

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Q: 3.) Find the area of the region which is inside the circle r= 1 and outside the cardioids r=1+ cos…

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: Find the area of the region inside the circle r=2 COS e ɑnd outside the circle r= |

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Q: Find the area of the region enclosed by one loop of the curve. r = 5 cos(110)

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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 –…

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Q: Calculate the area lies outside the circle r 4 and inside the cardioid r = 4(1 – cos 0). -

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Q: Find the area of the region bounded by: r 98 cos 20

A: Solving

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 r = 2a cos(0) and outside r = a

A: Given:Insider=2acosθOutsider=a

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: Which of the following is the area of the region inside the carlioid of r = 2 (1 + cos (α)) outside…

A: Given :  The region inside the cardioid of r=2(1+cos(α)) and outside the circle r=cos(α) To Find :…

Q: Find the area of the specified region. Inside the limaçon r= 8+2 sin e

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Q: Find the area of the specified region. Inside the -6 sin(0) and outside the circle circle r = A) B)…

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Q: 14. Find the area of the curve p2 r² = 16 cos 20

A: Find the area of the given curve

Q: Find the area of the region. Inside r = 2a cos(6) and outside r = a

A: Given that  Inside :r=2acostheta Outside r=a  To find the area of the region

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

A: