find the total length of the circle r = 2a cos 0 for a > 0?

Q: Find the length of the entire perimeter of the region inside 15 sin 0 but outside r = 1.

A: The region is inside r=15sin θ but outside the r = 1

Q: Find the area of the region inside: r = 5 sin 0 but outside: r = 1.

A: We will use double integration to solve this

Q: Find the area of the region that lies inside both curves. r = sin(20), r = cos(20)

A: Consider the polar curves:  r=sin2θ,r=cos2θSolve for θ:sin2θ=cos2θ2θ=π4θ=π8 There are 8 loops for…

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: The arc length of y=In(cos x), 0<x<• is 3 ○A In (√2-1) A. ○ B. In (1+√3) C. In (2+√√3) D. In…

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Q: Find the total arc length of the cardioid r=1+cos6O

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Q: Find the arc length of y=sqrt(4-x^2) -2<=x<=2

A: The equation of the curve is given by y = 4-x2 : -2≤x≤2 To evaluate : The arc length.

Q: long. A second circle of radius P is conces Vhat is the area of the shaded region?

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Q: Find the length of the arc x=(1/6)y³ + (1/2y) from [1,10] Answer:

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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: 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 length of the arc of y=x^(3/2) between the points (1,1) and (4,8).

A: Find the length of the arc of y=x^(3/2) between the points (1,1) and (4,8)

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

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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 &amp; outside the circle r2=2. Area…

Q: Show that the area of the region in the first quadrant en-closed by the curve y = (1/a) cosh ax, the…

A: First of all, consider the graph for curve y, the coordinate axes and the vertical line x = b.The…

Q: Find the area of the region inside: r = 6 sin 0 but outside: r = 2

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Q: Find the exact arc length of the curve. x6 + 8 y = from x = 1 to x = 3. 16x2 Give the exact answer…

A: To Determine: find the exact arc length of the curve  Given: we have a function y=x6+816x2…

Q: of the negioa cut from the first Find the area quadrant by the regisn r= I+ Sin@ ?

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Q: Find the Arc Length of y= 3ln(x) - ((x2)/24)) on [1,6]

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Q: Find the area between the curve r = sin (3θ) and the first and second quadrant.  Graph.

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Q: Find the arc length from (−3, 4) clockwise to (4, 3) along the circle x2+y2 = 25. Show that the…

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Q: r = sin 40

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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: egi =y=sin{x} eq2 =y=cos( 3 2.

A: Given equations are y=sinx and y=cosx. To find: Area using horizontal strips.  Differentiation…

Q: If the area inside both the cardioid r 6 + 6 sin 0 and the circle r = 6 is A + B-, then what is %3D…

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Q: Find the area of the region inside 2 petals of the rose r = sin 80

A: Solution :-

Q: find area Inside the circle r = 4 cos 0 and to the right of the vertical line sec 0

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Q: Find the arc length of y (x + 7)3 + (x + 7)-1 for 1 < x < 2. (Give your answer to three decimal…

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Q: Find the area of the region enclosed by one loop of the curve. r = sin(80)

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Q: find the entire length of one arc of the cycloid x=2A-2sinA, y= 2-2cosA.

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Q: find the area of the circle r=a by integration

A: The diagrammatic representation is,

Q: Find the length of the arc formed by x2 = 10y from point A to point B, where A (0,0) and B = (100,…

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Q: Find the arc length of y = (x + 4)° + (x + 4) for 1 < x < 2. Give your answer to three decimal…

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Q: Find the mibimal distance between the foint Cl,4) to the linz Yeメtl. dっしくーメュ+(-

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Q: Find the arc length of the graph by partitioning the x-axis. y=1/3 (x2 +2)3/2 , from  x = 3 to x =…

A: Given: The function y=13x2+232  fromx=3 to x=4

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

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Q: Find the area of the region enclosed by one loop of the curve. r = sin(40)

A: This question is about application integral

Q: Find the length of the entire perimeter of the region inside r = 6 sin 0 but outside r = 3.

A: Given the equation of the polar curve is, r=6sinθ Solving the equation r=6sinθ and r=3 for θ,…

Q: Find the length of the arc of the parabola y sq = x from  ( 0, 0 )  to ( 1,1)

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Q: Use the formula for arc length to show that the length of a graph over [1, 4] cannot be less than 3.

A: Let a function be: Now for any given function y=f(x), arc length is given as:

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

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Q: Find the length of the entire perimeter of the region inside 15 sin 0 but outside r = 4.

A: Concept Used: Arc length formula Arc length l=∫abr2+drdθ2dθ

Q: Find the area of the region enclosed by one loop of the curve. r = 4 sin(70)

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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 length of the entire perimeter of the region inside r = 6 sin 0 but outside r = 1.

A: Given that  r=6sintheta and r=1 To find the length of the entire perimeter of the region

Q: Find the arc length of y = (x + 7) + (x +7) for I < x < 2. %3D (Give your answer to three decimal…

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Q: 4. Use integration to show that the arc length of the circle from (-V3,1) to (V3,1) with the…

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Q: Find the area of the region enclosed by one loop of the curve. r = sin(10θ)

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