Show that the arclength of the graph of y=sinx on the interval [0, 2n] is equal to the circumference of the ellipse x?+ 2y? = 2. 3n 2 H

Q: Find the length of the arc of the parabola  x^2 = 4y from x = -2  to x = 2.

A: I am attaching image so that you understand each and every step.

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: (a) Find the arc length of the curve y = (4 – x3 over the interval [0, 8].

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

Q: What is the arc length of the curve y = (2/3)(x-4)3/2 from the point where x = 4 to the point where…

A: Given: y=23(x-4)32

Q: Find the arclength of y = 2x + 3 on 0 < x < 3

A: Find the differentiation of the function and then substitute the function in the arc length equation…

Q: Find the arc length of y=((x^3)/6) + (1/(2x)) with the interval of [(1/2), 1].

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Q: I need to solve this question

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Q: Find the arc length of the curve y = (x² – 8 In(x)) from x 2 to x = 5. |

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Q: Find the arc length of the graph y = (3/2)x2/3 from x=1 to x=8. Hint: Round your answer to three…

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Q: Find the arclength of y = 4x - 2 on 0 < x < 1

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Q: Find the arclength of y = 2x + 5 on 0 < x < 4

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Q: Find the arc length of the curve r 2sin () from 0 0 to 0 = 7.

A: To find the arclength of the polar curve.

Q: 1. Find the length of the arc of the cycloid: x = t - sint, y = 1 – cost , 0st<2n

A: given that x=t-sint, y=1-cost, 0≤t≤2π find the length of the arc of the cycloid we know that length…

Q: Find the length of arc of the curve 6xy = x* + 3, from the point where x = 1 to the point where x =…

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

Q: Find the arclength of the curve x = 3 cos(5t), y = 3 sin(5t) with 0 <t< 20 %3D

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Q: Find the exact arc length of the curve over the stated interval. Y = 8x2/3, from x = 1 to x = 8

A: According to question,Given curve,y = 8x23,from x = 1 to x =8

Q: Find the arclength of y = 2a + 4 on 0 < a < 4

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Q: Find the arc length of the graph of the function over the indicated interval. x2 3/2 + 1 y = y 4 1 3…

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Q: Find the arclength of the curve x= 4cos(6t), y= 4sin(6t) with 0 less than or equal to t less than or…

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Q: Find the arclength of the curve x 5 cos(3t), y = 5 sin(3t) with 0 <t< 6

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Q: 2. Sketch and find the arc length of the curve below. 3 x = cos* t, y = sin³ t

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Q: Find the arc length of the curve y In(cosa) from = 0 to 2/4.

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Q: Find the arc length of the graph of the function over the indicated interval.

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Q: Find the arclength of the curve r = 5 cos(6t), y = 5 sin(6t) with 0 <t<. %3D

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Q: Find the arclength of y = 3x + 1 on 0 <x < 3 %3D

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Q: Find the arc length of the curve y = (ex + e-x)/(2), 0 ≤ x ≤ 2.

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Q: 3. Find the arc length of the curve 24xy y+ 48 from y-2 to y-4 1 to from

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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 arclength of y = 2x? +1 on 0 < x < 4

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Q: 4. Find the length of the arc of the curve 8y = x + 2x-2 from the point where x = 1 to the point %3D…

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Q: Find the arclength of y = 4x + 3 on 0 < x < 2

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Q: Find the arclength of y 2x +1 on 0 < x < 2

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Q: Find the arc length of the parabola y² = x from (0,0) to (1, 1). (Note that y² = x is not the same…

A: Length

Q: Calculate the arc length of y = G(18x)3/2 – (18x)2) over the interval [2, 8]. (Give your answer to…

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Q: Find the exact arc length of the curve over the stated interval. = 3x3/2 – 2, from x = 0 to x = 1…

A: We have to find the arc length of the curve over the stated interval.…

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

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Q: y%3D 2) + 1)3/2 3 4 2- y=a?+ 1)2 + 1 2 3 4 3.

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Q: Show that the arclength of the graph of y = sin x on the interval [0, 27] is equal to the circum-…

A: The length of the smooth curve ζ : [ 0 , 2π] →ℝ2  is given by I(ξ) = ∫02π ξ'(t)  dt

Q: Find the exact arc length of the curve y = 3x3/2 − 1 over the ineterval [0, 1]

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Q: Find the arclength of the curve over the given interval. (a) r = 1+ sin 0, 0 <o < 27

A: Solution is given below:

Q: Show that the arc length of the graph of y = sin x on the interval [0, 2π] is equal to the…

A: Given, Equation of Ellipse is x2+2y2=2 Now divide the equation of ellipse by "2" we get,…

Q: 3. Find the arc length of y = 3x3/2 on the interval 1<x< 3 %3D

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Q: Find the arc length of y = 7r +1 over the interval [0, 2]

A: y = 7r + 1 arc length=∫02 1+(dy/dr)2dr dy/dr = 7' arc length=∫02 1+(7)2dr arc length=∫02 50dr arc…

Q: 2. Find the arc length of the curve y = 16 from x-2 to x-3

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Q: Calculate the arc :length of the curve y = In(2x + 1) over the interval

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Q: Find the exact arc length of the curve over the stated interval. y = 3x/2 - 2, from x = 0 to x = 1…

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Q: 1 Find the arc length of the curve y = + 4 from (0, 4) to (1, ).

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Q: Find the arc length of the curve 3y=4x from (3,4) to (9,12).

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Q: Find the arc length of the curve x = cos 2t, y = sin 2t, 0 < t < 5 27 -2T

A: The arc length of the curve x=cos2t, y=sin2t, 0≤t≤π2

Q: 1.) Use the arc length formula to find the length of the curve y = 3x + 2 on the interval 0 ≤ x ≤ 3.

A: Given data  y=3x+2 Interval ÷ 0≤x≤3 Formula for arc length is given by  L=∫ab1+dydx2dx