Find the area under one arch of the cycloid. x = 6a(t- sin t), y = 3a(1 - cos t) The area is (Type an expression using a as the variable. Type an exact answer, using a as needed.)

Q: 01 Answer with all details, By y = sin x Using Two method, find the area of shaded region in beside…

A: Are of a bounded curve =∫ydx.

Q: Q18:- Find the area inside r=5sin 0 and outside r=2+sin0.

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

Q: Find the area inside the curve r = a(1+sin theta) and outside the curve (r =a sin theta). 6:01 PM

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Q: Find the area of the region outside r = 9 + 9 sin 0 , but inside r = 27 sin 0. 24T

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Q: Find the area of the region inside the circle r = 12 sin 0 and outside the cardioid r = 4+4 sin 0.…

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Q: Jse one of the formulas below to find the area under one arch of the cycloid x = t – sin(t), y = 1 –…

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Q: Find the area of the region inside the circle r = 24 sin 0 and outside the cardioid r = 8 + 8 sin 0.…

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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 of the region cut from the first quadrant by the cardioid r = 1 + sin theda.

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Q: Find the area under one arch of the cycloid x = a(t - sin t), y = a(1 - cos t).

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

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Q: (b) ^ / dx a² I

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Q: 00 Puanlar) Find the area inside of the cardioid r = 2(1 + cos(0)) and outside

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Q: Find the area enclosed by the astroid x = cos3 t, y = sin3 t, 0 ≤ t ≤ 2π.

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

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Q: Q4) Find the shared area between the two cardlold r=1+sin@ and r%3D1-sin0

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Q: Evaluate the integral S x? dx using trigonometric substitution. V16-x2 Note: Use C for an arbitrary…

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 9…

A: Given: r=9cosθ r=4+cosθ

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

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Q: Evaluate the integral 7x sin y dy dx. 00 The value is (Type an exact answer, using x as needed.)

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

A: Let's find.

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: x2 dx J V4x – x²

A: Given:       ∫x24x-x2dx    =∫x24-x-22dx  substitute u=x-2→dudx=1→dx=du                    use…

Q: 27. Find the area enclosed by the curve r = a (1 - sin e). A B. 2a² C. 3a² D.

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Q: Find the area of ​​the area inside the curve r = 6 cos θ but outside the curve r = 2 + 2 cos θ.

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Q: Find the area closed by the astroid ,3 x = a cosº 0, y = a sin³

A: Here we have to find the area closed by the astroid,  x=acos3θ, y=asin3θ

Q: b) Inner loop of r = 8 – 16 sin (e)

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Q: 7. Find the area of the shaded region. Give the exact value for the answer. V = = sec?x y = cos x 4

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

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

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Q: 28. y A y = sin x 1 TT y = sin 2x

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Q: x' dx Evaluate the integral using trigonometric substitution. V 36 – 22

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Q: Use a familiar formula from geometry to find the area of the region described and then confirm using…

A: Let us convert the polar equation to cartesian equation So it is a circle with

Q: TT 8. Find the area between the curves y = cos r and y = sin x, %3D

A: Between pi/4 to pi/2 sinx is greater than cosx  So y=sinx will be above y=cosx between pi/4 to pi/2…

Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 17…

A: First find the intersection point of the given inside and outside the curve and solve the above…

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: Use a familiar formula from geometry to find the area of the region described and then confirm using…

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Q: Find the area inside the cardioid T=a+a sin(0) assume the constant a >0 A) B) 3ar 3a 20 2 C) D) 3an…

A: Given : r = α + α sin( θ )

Q: Find the area of the region outside T = 5+5 sin 0, but inside r = 15 sin 0. Question Help: Message…

A: Proceed as shown...

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: Find the area of the area inside the curve) r = a (1 + Sin0 and outside the circle r = aSin0.

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Q: The area enclosed by the circler= = sin 0 is given by 2x esin 0 A = f" Sr dr d0.

A: Given that  The area enclosed by the circle r=sintheta is given

Q: Use one of the formulas below to find the area under one arch of the cycloid x = t – sin(t), y = 1 -…

A: Given cycloid, x=t-sint, y=1-cost and area is given by A=∮Cxdy-∮Cydx=12∮Cxdy-ydx

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 between r = 2-sin(θ) and r = sin(θ)

A: Area between polar curves

Q: Find the area common to the circle r = 3 and the cardioid r = = 3(1 - cos 0)

A: Figure of area enclosed by both curve÷

Q: Find the area of the region inside the circle r = 30 sin 0 and outside the cardioid r = 10 + 10 sin…

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Q: 7. r a sin 3 e

A: Explanation: Given that,  r=asin3θ  Here we will put  r=0sin3θ=0⇒3θ=0 or π⇒θ=0 or π3

Q: Determine the area of the region indicated in each exercise. Inside the circler=V3 sin 0 and outside…

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