Find the arc length of the following curve on the given interval. x-sint-tcost y= cost+tsint 0sts 2 units. The arc length is (Type an exact answer, using x as needed.)

Q: Find the arc length of the curve below on the given interval. for 3sys5 8y

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Q: In  the given equation as follows , find the arc length of the curve on the interval [0, 2π]. see…

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Q: ) Find the arc length of the curve x = cost + tsint, y = sint – tcost on the given interval 0 < t <…

A: Here we have to find the arc length of the curve x=cost+tsint, y=sint-tcost, on the given interval…

Q: Find the arc length of the following curves on the given interval. 1 for 1 8y2" X = + 4 y . 2

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Q: Find the arc length of the graph of r(t) = ev2ti eVati + e-v2tj+2tk, 0<t< v2 In 7 NOTE: Enter the…

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Q: Find the arc length of the following curve on the given interval. x=24t+8, y = 7t+3, 0≤t≤2 The…

A: Given equation of function is  x=24t+8,y=7t+3, 0≤t≤2 The arc length of the given function is…

Q: Find the arc length of the curve on the indicated interval of the parameter. x = 8t + 5, y = 5t – 3,…

A: Arc length of the curve between intervals a and b is given by:

Q: find are length x=2t² y = 3t²,0 ²t ²√58 [0,√8]

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Q: Find arc-length of the following curve 0 <t < 2 x = sin (t) Y = cos'(t)

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Q: Find the arc length parameter along the curve from the point where t=0 by evaluating the integral s…

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Q: Given that v1+ tan x dx represents the arc length of some curve defined by y= f(x) on 0, A,…

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Q: Use the arc length formula 2 dx dy L + dt dt dt to find the arc length of the curve. x = cos 12t, y…

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Q: Determine the arc lengths defined by the following functions over the given intervals: a.) y=1/3…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

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Q: Find  the  arc length of the following curve on the given interval. y=1/2x^3/2 on [0,60]

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Q: Find the arc length of the indicated portion of the curve: r(t)=(e' cost)i +(e' sint)j+e'k, In 4…

A: Given:rt=etcosti+et sintj+etkInterval 4≤t≤0Arc length:L=∫abdxdt2+dydt2+dzdt2 dt

Q: Find the arc length for the curve r(t)= cos(t)i+sin (t) j + tk , 0<t<2n .

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Q: Find the arc length of the curve below on the given interval. 1 y%3= (x +6) 2 on (0.3] 3/2 on [0,3]

A: We find dy/dx using the power rule and chain rule

Q: Find the point On the curve R(t) = 5sint i + 5cost j + 12t at adistance (267) units along the curve…

A: Given:-               rt = 5 sin t, 5 cos t, 12 tdistance = 26 π unitspoint = 0,0,0

Q: Find the arc length of the following curve on the given interval. x= 12t³, y=18t², 0sts √3 The arc…

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Q: Suppose that y = f(x) is a smooth curve on the interval [a, b]. Define and find a formula for the…

A: y=f(x) is a smooth curve on the interval [a, b]. Formula for the arc length L of the curve y = f(x)…

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 for y = V2 – x2 for 0 < x < v2. Check your answer by noting that the curve is…

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Q: find the arc length of the curve on the given interval:

A: We find dx/dt and dy/dt

Q: Which integral gives the arc length of the curve over the interval from t = a to t = b?

A: This is a problem related to integration. Based on the general formula of length of arc we will…

Q: 3) Find the arc length nE the following curve on the Given interca X=4sint -4T COst, y=4c0s T t4t…

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Q: x = 4 sint, y= In(1+t), (-2<t <1).

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Q: Find the arc length of the curve given by r= sin 0, 0s0< E a) 27 b) T c) 72 e) None of these O a.) O…

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Q: Find the arc length of the curve below on the given interval. y = 2x312 on [0,1] Which of the…

A: Given: y=2x3/2 on [0,1]

Q: Find the arc length of the following curve on the given interval. x= 213, y = 312, 0sts 3 The arc…

A: Answer and explanation is given below..

Q: Find the arc length of the following curve on the given interval. x= 24t + 1, y = 7t + 7, 0sts2

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Q: Find the arc length of the following curve on the given interval. x=7t+1, y = 24t-7, 0≤t≤3 The…

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Q: Find the arc length (s) of the curve 7(t) = (e*, 4e", - 2et) for 0 <t < In(5) |

A: we are given the curve  r→(t)=e5t,-4e5t,-2e5t =e5ti-4e5tj-2e5tkwhere 0≤t≤ln5

Q: Find arc length function for the given curve. 11. r(t)= (sinr', cos ?) 12. r(1) = (e", 2e' , t)

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Q: 3 x =-2+ Vt, y = 21*, 1St<25 1St <25

A: Given: x=-2+t, y=2t34 and 1≤t≤25 x=-2+tdxdt=12t y=2t34dydt=32t1/4

Q: Find the arc length parameter along the curve from the point where t= 0 by evaluating the integral…

A: Given parametric curvert=3etcost , 3etsint ,3et           -ln4≤t≤0

Q: b) Clara's rope traces the involute on the interval (0, ). Find the arc length on this interval.

A: b)- The objective is to find the arc length in the interval 0,π.

Q: Find the arc length function for the curve ř(t)= (cosht,sinht,t) taking a=0.

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Q: Find the arc length of the following curve on the given interval. x=8t-2, y = 15t-3, 0≤t≤2 The…

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Q: Find the arc length of the following curve on the given interval. x= 2t°, y = 3t, 0sts 18 The arc…

A: From the Arc length expression

Q: 2. Determine whether the following curve uses arc length as a parameter. If not, find a description…

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Q: 1 . Find the arc length for y = √√2-x² for 0 ≤ x ≤ √√2. Check your answer by noting that the curve…

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Q: Find the arc length of the curve on the given interval x (0) = 0³, y (0) = 0² ; 0 ≤ 0 ≤ 2

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Q: Find the exact arc length of the curve over the stated interval. y = 5x3/2 – 2, from x = 0 to x = 1…

A: This is geometry problem

Q: Find the arc length of the following curve on the given interval. x- 11t, y=, 0sts V8 The arc length…

A: Using arc length formula.... L=integration a to b sqrt((dx/dt)^2+(dy/dt)^2)dt

Q: Find the exact arc length of the given curve along the given interval. r = 0², 0 <0<T

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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 arc length of the curve Cycloid arch: x = a(θ − sin θ), y = a(1 − cos θ) , on the interval…

A: Cycloid arch: x = a(θ − sin θ), y = a(1 − cos θ)  interval [0, 2 ].