5. Find the area of the region described. (a) The region inside the circle r = 3 sin 0 and outside the cardioid r = 1+ sin 0.

Q: .) Find the area of the region between the circle =5coso and %3D Curve C=2+ Cos %3D

A:

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

A:

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

A:

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)

A:

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

A:

Q: Find the area of the region that lies inside the first curve and outside the second curve. r= 16…

A:

Q: Find the area of the region that is enclosed by the cardiod r = 16 + 16 sin 0. %3D

A: Given : r = 16 + 16sinθ

Q: Find the area of the region that lies inside the circle r = 1 and outsidethe cardioid r = 1 - cos θ.

A:

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

A:

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

A:

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

A:

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

A:

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 shared between the curves r = cos(θ) and r^2 = 3 cos(2θ)/2

A: First of all, we will plot the graph of the given curve and identify the shared region. The given…

Q: x = sin y, x = 0, y = 7/4, y = 3/4 %3D

A:

Q: 21. y = sin x, y = cos x, x = 0, x = 2T

A:

Q: 6) Find the area of the region R that lies inside the circle r= 4(sin 0) and outside the cirele r –…

A: In this question we have to find Area of the Region that lies inside the circle.

Q: 9. Find the area of the region cut from the first quadrant by the cardioid r=2 + sin®

A:

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: Find the area of the region. x = 3 sin(0) y = 4 cos(0) " ses 2 2 y

A:

Q: Determine the area of the region enclosed by r=√3cosθ and r=sinθ on (π /3, 4π /3)

A: To find the area of the region enclosed by two polar curves, use the formula, A=∫αβ12r02-ri2dθ and…

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

A:

Q: 1 the area of the region enclosed by the curve y = =, and the lines y = x and 2. Start by sketching…

A:

Q: Find the area of the region bounded by the curve r = 8 cos 2θ.

A: We need to find the area of the region bounded by the curve r = 8 cos 2θ. Let us first plot the…

Q: r =1- cos 0 r=1+cos 0

A:

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

A: We first find where they meet

Q: Determine the area of the region (a) outside the cardioid r = 1+sin 0 and inside the circle r = 3…

A:

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

A:

Q: 7. Find the area of the region cut from the first quadrant by the curve r = 2(2 sin 20)¹/2

A: Solution :

Q: 8) Find the area of the shaded region: y = sec? x 1- y = cos x 4

A: Consider the formula for the area between the curves. From the given graph, find f (x), g (x), a and…

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: 8) Find the area of the region R cut from the first quadrant by the cardioid r = (1+sin ) .

A: Explanation of the answer is as follows

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 that lies inside the cardioid r=1+sin(θ) and outside the circle r=1.

A: Here we will use the following formula for calculating the area of the region R bounded by above…

Q: 2. (a) Find the area of a region that lies inside the circle r = 2 sin 0 and outside the circler 1.

A:

Q: Find the area of the region enclosed by one loop of the curve. r = 4 sin(9θ)

A:

Q: 2. (a) Find the area of a region that lies inside the circle r 2 sin 0 and outside the circle r = 1.

A: As you post multiple questions According to the guideline I only solve the first problem please post…

Q: 1 Sketch of the region enclosed by the given curves and find its area: (a) y = cos x, y=cos?x, 0<xSn

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Find the area of the region enclosed by the inner loop of the curve. r = 6 + 12 sin(θ)

A: The graph of the curve and the region is as follows.

Q: Find the area of the region that lies inside both curves. r = 2 + cos(8), r = 2 - cos(8)

A:

Q: Find the area of the region enclosed by one loop of the curve. r = 8 sin(50)

A:

Q: Find the area of the region that is enclosed by the cardiod r = 12 + 12 sin 0.

A: form a integral then solve

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

A:

Q: 6. Sketch the region between y = sin?(x) and y = 0 for x between 0 and r. As well, find the area of…

A: From the given curves the bounded region is as shown below:

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

A:

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