Find the area of the region enclosed by the given curves. y = 8 cos(pi x),    y = 12x2 − 3

Q: 1. Solve the area of the region enclosed by the graph of the equation r= 4 sin0. %3D

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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: Q1. Calculate the area of the region lies inside the diagram (r= 4 cos 20) and outside the circle (r…

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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 in the following graph: y 2 y = sec? y = sin(4x) T/8 T/4

A: The figure is given by To evaluate : The area of the shaded region.

Q: Find the area of the given region. y = sin x

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Q: Find the area of the region that lies inside the first curve and outside the second curve. p2 = 8…

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Q: Find the area of the region that lies inside both the curves r = sin(0) and r= cos(0). A. (M В. (п…

A: This is a problem of integration. We will calculate the area by using integral method. Please follow…

Q: Find the area of the given region. y = cos x

A: To calculate Area : y = cos x Area = ∫x=0x = π/2y dx

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: What is the area of the shaded region? y = 2 2 x = TT y = 1 + cos x

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Q: Find the area of the given region.

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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 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: (ii) Find the area of the region bounded by r - 200 cos (20).

A: To find- Find the area the region bounded by r2 = 200 cos2θ.

Q: Q5 Find the area of region enclosed by the r=1-e cos 0

A: We know that  the area of a sector of a circle is 12α r 2 , where α is the angle subtended by the…

Q: Determine the area of the given region. y = sin x for 0 to pi/3

A: Given:

Q: Find the area of the shaded region shown in the graph. Ay Q y = 22 sin x 22 v = 22 cos X

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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: 8) Find the area of the shaded region : y = sec? x 2+ 1 y = cos X 4

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

Q: Find the area of the region that lies inside the first curve and outside the second curv r = 15…

A: To find the area of the region

Q: Q3. Find the area of the region R that lies outside the cardioid r = and inside the circle r a(1+…

A: q-3 find the area of the region R that lies outside the cardioid r=a1+cosθ and inside the circle…

Q: Ql: Calculate area of the region lies inside the roses r 4 cos 20 and outside the circle r= 2.

A: According to our guidelines we can only answer one question at a time, rest you can repost.

Q: Find the area of the region that lies inside the first curve and outside the second curve. 12 = 8…

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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 enclosed by the given curves y = tan(7x) and y = 2 sin(7x), where -T/21 < x <T/21. You…

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Q: Find the area of the shaded region shown in the graph. Ay y = 11 sin x y= 11 cos x 2

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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: What is the area of the region in the first quadrant enclosed by the graphs of y = sin (2x) and y =…

A: To find the area of the region in the first quadrant enclosed by the graphs of y=sin(2x) and y = x…

Q: Q1. Calculate the area of the region lies inside the diagram (r = 4 cos 20) and outside the circle…

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Q: Find the area of the shaded region in the diagram given below. y = sin(2r) 6 y = cos(x)

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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: 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. Inside r = 2a cos(0) and outside r = a

A: Given:Insider=2acosθOutsider=a

Q: Find the area of the region enclosed between y = 3 sin(x) and y = 3 cos(x) from x = 0 to x = 0.9r.…

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Q: 1. Find the area between y=x and y=x' fromx=-1 to x-1. 2. Find the area of the "triangle" region…

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Q: Find the area of the shaded region shown in the graph. Ay y = 27 sin x 27 y= 27 cos x

A: Solution :-

Q: r = 3 cos 0

A: The given curve,  r=3 cosθ

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: Find the area of the region that is insider = 7 – 3 cos 0 and outside r = 4. Show a sketch of the…

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r= 14 cos…

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Q: Find the area enclosed by the given curves y=tan(9x) and y=2 sin(9x), where -1/27 < I <T/27. You may…

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r= 7-7…

A: SOLUTION-

Q: y 2 y = sec? x y = sin(4x) → X T/8

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Q: Find the area of the region that lies inside the first curve and outside the second curve: T=4 cos…

A: We have to find the area of the given between two circles.

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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Q: Q9.a) Find the area of the region bounded by x = -/y, and y = 4 (Sketch the region) b) Solve to Find…

A: a) The region has the following graph: Thus, the area is given by…