Find the arc length of of the line segment c(t) = (3+ 4t, –1 – 5t) fromt = 0 to t = 10- O 410. O -10. O 10/41- O 30i-

Q: 1. Find the arc length of the curve y = 31, 0<a<3.

A: The given arc is y=23x32, 0≤x≤3

Q: a)Find the exact arc length of the curve 24xy = y^4 + 84 from y = 2 to y = 4

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Q: Find the arc length (s) of the curve r(t) = (- e*, 2e, – 4e*) for 0 <t < In(3) S =

A: To find the arc length of the curve

Q: Find the arc length of the graph of the given equation from A to y = 6x2/3 + 1 А(-1,7), В(—8,25) B.

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Q: The arc length of the curve r= cos 30 with 0<0<n is

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Q: Find the arc length of the curve r(t) = (4t^2, 2(sqrt4)t, ln t), for the domain of t between 1 and…

A: We have to find Arc length.

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

A:

Q: Assume that the two points (x1 y1) and (x2.y2) lie on the graph of the straight line y = mx + b. Use…

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Q: Find the arc length (s) of the curve r(t) = (2t, 4 cos(3t), 4 sin(3t)) for 1 <t < 4 S =

A: Application of integration and partial derivatives use to solve this problem.

Q: Consider the curve VI(y – 3)/3. Find the arc length of this curve over the interval 1 < y < 9.

A: Find dx/dy using power rule

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: Find the arc length (s) of the curve r(t) = (est, -2e5t, 3e5t) for 0 ≤ t ≤ In (2) 8=

A: The arc length s of the curve r→t=x(t), y(t), z(t) for a≤t≤b is given by s = ∫abx'(t)2+y'(t)2+z'(t)2…

Q: Find the arc length of the curve below on the given interval. とマ 1 X=- , for 2sys4 8y 4 The length…

A: We know that length of curve x=f(y) from y=a to y=b is L=∫ab1+dxdy2dy

Q: Find the exact arc length of the graph of y==x² -- In(x) where xe[1, 2e].

A: Given : f(x)=14x2−12lnx    on  x∈[1,2e]

Q: The arc length of the curve y=3-4x2, where 0<x<1is [1-37/37] O 54 /37-1] 54 1-/37] O, 54 4 137/37-1]

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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 form (2,1) to (4,4) of the curve x = 2/y.

A: The formula for arc length is L=∫abf'x2+1dy.

Q: Find the arc length of the graph of y^2=4x^3, between points (0, 0) and (2, 4sqrt(2)).

A:

Q: The arc length of the portion of the curve y =ex with 3 <x<5 is

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Q: The arc length of the curve x| + \yl = 1 is Select one: a. 4/2 b. 4 C. 2

A: The graph of the function helps to find the arc length of the curve. Since lengths of all the sides…

Q: Find the arc length of the graph by partitioning the x-axis. y=(1-x2/3)3/2 , from x= 1/64 to x=1

A: Given function is y = y= 1-x2/33/2 from x= 1/64 to x=1 The arc length of a curve on the interval [a,…

Q: Find the arc length of the graph of r(t) = ev2li+e¯v2lj+2tk, 0<t < v2 In 9 NOTE: Enter the exact…

A:

Q: Find the arclength of the curve over the given interval. (a) r = 1 + sin θ, 0 ≤ θ ≤ 2π

A: Given: The curve is: r=1+sinθ over the interval 0≤θ≤2π The objective is to find the arclength of the…

Q: Find the arc length of the curve below on the given interval. 2 3/2 (x2 +1) on [0,6] The length of…

A:

Q: ind the length of the arc formed by x2 5y3 from point A to point B, where A = (0,0) and B = (25, 5).

A: Solution: The objective is to find the arc length

Q: Find the arc length in the second quadrant of the curve x23 + y23 2/3 = 9 from x = - 27 to x = – 1.…

A:

Q: The arc length of the portion of the curve y =e* with 3 <x<5 is

A: Arc length formula for a curve a≤x≤b for f(x)=y is given by, L=∫ab1+dydx2 dx

Q: Find the length of the arc formed by x^2=12y^3 from point A to point B where A=(0,0) and B=(144,12)

A: This question is based on application of Integration.

Q: 5. R = (sin 2t , cos 2t , 2t3/2), 0 <t<1.

A:

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= 24t + 1, y = 7t + 7, 0sts2

A:

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: 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 length of arc of the given curve. 5. R= (sin 2t, cos 2t , 2t³/2), 0 sts1.

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Q: Find the arc length of the curve r= 4 cosθ

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

A:

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: The arc length of the curve r = cos 30 with 0<0<n is

A:

Q: S2 S1 - R1– -R2-

A: We have to find arc length of S1.

Q: 3. Find the exact arc length of the curve y = 2Vx' on the interval [0,11]. ( -. TV +70 +60 +50 +40…

A: To find  The exact arc length of the given curve.

Q: Find the length of the portion of the arc given by r(t) = (e 'cos t) i + (e 'sin t) j + 7e'k, -In 2…

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Q: O Find the length of arc of the curve y = from (0,0) to (4, ). %3D

A:

Q: What does the arc length formula give for the lengthof the line r(t) = ⟨2t, t, -2t⟩, for 0 ≤ t ≤ 3?

A: Given:          r(t)=⟨2t,t,−2t⟩  for 0≤t≤3.

Q: Find the arc length of the following line. y = 2x + 4; (0,3)

A:

Q: y = -(1,3] x3;[1,3]

A: Given:- y=0.3 x1/3 -1.5 x5/3  To find:- Arc length of curve over interval [1, 3]

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: Find the arc length of y =x2/3 , -1<x58 Select one: 13 )3/2 27 4 O None 8 13 )3/2 27 4 13 3/2 +2 8…

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Q: Find the arc length of the curve below on the given interval. y%3D2X y=2x/2 on [0,2] Which of the…

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

A:

Q: Find the exact arc length of the curve y = (x^6+8)/16x^2 from x = 2 to x = 3

A: We first write y as two terms and then find dy/dx using the power rule