1. Find the arc length of the curve y = on the interval [0, 60]. n i len

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: 2:(b) Find the exact arc length of the curve x=e"(sint+ cost), y=e" (sint – cost) over the interval…

A: Given

Q: <ys 2 2

A: We have to solve given problem:

Q: Find the arc length of the curve on the given interval. (a) x = 3t + 5, y = 7 – 2t, t e [-1,3]

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: 22. Calculate the arc length of the graph of (a) y = f(x) = 1⁄2x³ + x-¹ over [1,3]. Hint: (b) y = 1…

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Q: What does the arc length formula give for the length of the line y = x between x = 0 and x = a,…

A: line y = x between x = 0 and x = a

Q: 3 The arc length of the portion of the curve y=x2 with 0<x<4 is Osz9.0734 OSx 10.1938 s=7.7868 попe

A: We have to find the arc length of the portion of the curve y=x32 with 0≤x≤4.

Q: find the arc length of the curve on the given interval y = (x3/2/3)-x1/2 on [4, 16]

A: Given:- y = (1/3) (x3/2) -x1/2  To find  length of arc length over interval [4, 16]

Q: 5. Compute the arc length of the curve f (x) =1+In(cos(x)) over the interval from x=0 to X =

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Q: Calculate the arc length of y = x² – ; In x over the interval [1, 2e].

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Q: a) Show that the length of the arc of the curve y=f(x) where S(x) = Insecx 0SxS is 4 In(1+ v2)

A: We need to show that the length of the arc of the curve y=f(x) where f(x)=ln(sec(x)), 0≤x≤π4. The…

Q: Find the arc length over the given interval. 8. r(t) = (cos(3t), sin(3t)) [0, z] over 9. r(t) =(-t,…

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Q: 2. Find the point on the curve r(1)=(5sint)i-(5cost)j+12tk at a distance 267 units along the curve…

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Q: Find the arc length of the following curve on the given interval. y = 3x +7 on [-3, 1]

A: We know that the arc length of a curve y=f(x) on an interval [a, b] is given by L = ∫ab1+dydx2 dx

Q: Find the arc length of f(x) = () (x² + 2)z on the interval [0,9] %3D

A: (6) Given function is fx=13x2+232 and interval is 0,9. We have to find the arc length of fx=13x2+232…

Q: 3. Find the exact arc length of the curve I = y+}y2 from y = 1 to y = 4.

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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: 4. Find the exact arc length over the interval. a. x= from x = 2 to x = 3 16x2

A: Solution: 4 (a)   y= x6+816x2  from x=2 to x=3

Q: 4. Find the exact arc length over the interval. b. x =y* from y = 1 to y = 4

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Q: 3/ 10. Find the arc length of the curve y = x/2 +4 from x = 4to x = 9.

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Q: 7. Find the arc length of each curve (integrate by hand) a) x = -8y– 3 on [– 2,6] b) y = , 3 on…

A: Here we have to find the arc length of the given curves.

Q: Find the exact arc length of the curve over the stated interval. y = 7x2/3, from x = 1 to x = 8

A:

Q: 1. Find the exact arc length of the curve 24.xy = y* + 48 %3D from y = 2 to Y = 4.

A: To find the exact arc length of the curve,24xy =y4+48from y=2 to y=4.

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: 2. Find the arc length of (x+5 y= over the closed interval [-1,4] .

A: Given curve is

Q: 2. Determine the arc length of the given curves a) y =+ 1<y< 2 3

A: s=∫y1y2 1+x'2 dyy'=3y23-14y2y'=y2-14y2s=∫121+y2-14y22dys=∫121+y4+116y4-2×y×14y dys=∫12y4+116y4+12…

Q: 7. Find the arc length of the following plane curve: x = e' (sint + cos t), y = e' (cost – sin t),…

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Q: Let f(x) = - 1. Calculate the arc length of the graph of r = g(y) over the interval z = 2 to a = 5.…

A: The given function is f(x)=x2-1 and the interval is x=2 to x=5 To find the arc length of the graph…

Q: 5. Find the length of the arc for x = 3 - Jy from y = 0 to y = 4

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Q: Express the arc length of the curve y =+ between x= -3 and x = -1 as an integral. A dx. E) None of…

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Q: Find the arc length of the curve y=x+7 on the interval [0,3] O153 O 90 O 45 O18

A: Given that y=x+7.

Q: 5. Compute the arc length of the curve e f (x) =1+In(cos(x)) over the interval from x=0 to 4

A:

Q: 9) Find the exact (arc) length of the curve. x = 2t – sin(2t), y = 1 – cos(2t), 0<t<r. -

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

A:

Q: (a) Find the arc length function for the curve y= In (sin x) ,0 &lt; x &lt; pie  with starting point…

A: To find the arc length.

Q: Find the exact arc length of the curve over the interval from y = 1 to y = 4 1 1 + -2 x =

A:

Q: Find the exact arc length of the curve over the stated interval.  x = 1/8 y^4 + 1/4 y^-2, from y =…

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Q: Find the arc length of y = e* over [0, 1].

A: We have to find the arc length of y=e^x over[0,1]

Q: 1) The Arc Length of the curve f(x) = coshx, 0≤x≤ In3 is: d. 312 12 3 C. b. 2²/2 0.33 lorod by…

A:

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: 20 The arc length of the curve y = In(1-x²) for 0 sxs is 29 400 + 841 49 + In 34 + In 15 20 29 20 49…

A: The arc length of the curve y = In(1-x2) for 0≤x≤20/29 To select correct option

Q: b) y = ln (cos x) 0 <x<- 3

A: Given: y=ln(cosx) in the interval 0≤x≤π3

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

A:

Q: Find the arc length of the curve on the interval [0, 27). Hypocycloid perimeter: x - a (cos(0)), y =…

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Q: Consider the parametric curve: X y = ln(-t) Which integral gives the arc length of the curve over…

A: We have to find the length of curve.

Q: x= - y2 from y=1 to y=9 1/2

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Q: 3 Calculate the arc length of y = x? over the interval [1,5].

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Q: 1. Compute the arc length of the curve y = t, over the interval (0 < x < 2). 6 x y

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