Find the length of the curve 7 (t) = (ei cos(;),ei sin(;),ei) for 0

Q: Find the arc length of the curve y = x² from x = 0 to x = 1.

A: Given: y=x2, x∈0,1 We know that for any given curvey=fx on intervala,b, arc lengthL is given by…

Q: Find the length of the arc y = In(cos x) between the points (0, 0) and (pi/3, -In2).

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Q: Find the length of the curve using formula.  y= ln (cosx) bounded by 0 and pi/4

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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 arc length function for the graph of ƒ(x) = 2x^(3/2) using (0, 0) as the starting point.…

A: Given:

Q: 4. Find the length of arc of the curve x3 + y3 = 1 in the first quadrant from the point where x = to…

A: If a function f(x) is defined over an interval [a,b], then the formula for arc length is: Formulae…

Q: Find the arc length of the curve y = x³/2 from (0, 0) to (1, 1)

A: Given curve is: y=x32 To find the arc length of the curve from (0,0) and (1,1)

Q: <ys 2 2

A: We have to solve given problem:

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 curve y = from x=2 to x=3 2x2 16

A: Use arc length formula

Q: find the arc length of the curve on the given interval y = (x2+2)3/2/3 on [0,1]

A: Given curve is: y=(x2+2)323 from x=0 to x=1Heredydx=32(x2+2)12×2x3=xx2+2

Q: Find the arc length of the graph of y == 6 2x on the interval 2 L2

A:

Q: Find the arc length function for the curve y = sin(x) + /1 - x2 with starting point (0, 1). s(x) =

A: To find the are length,  we will use the formula of are length (S) .

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: Find the arc length function for the curve y = sin+(x) V1-x² with starting point (0, 1).

A: As we know that; The expression for the length of arc of the curve is: L=∫ab1+dydx2dx The Power…

Q: Find the length of the arc of the curve y =: +e*) from x = 0 to x =2.

A: y=ex+e-x2

Q: Find the arc length function for the curve y = sin-lx + V1 - x² with starting point (0, 1).

A:

Q: Find the arc length function for the curve y = sin+(x) + V1- x² with starting point (0, 1). s(x) =

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Q: Find the length of the arc of x²+y²=64 from x=-1 to x=-3, in the second quadrant.

A: Given curve: x2+y2=64

Q: 1) Find the arc length of the curve over the interval: | 2 3 (a) [0,3] for f (x) =x X2 (b) for y =…

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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 arc length of the graph of the function over the indicated interval. 3/2 y : x² !!

A:

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

A:

Q: Find the length of arc of the curve 6xy = x^4 + 3, from the point where x=1 to the point where x=2

A: The given curve is: 6xy=x4+3 y=x46x+36xy=x36+12x Differentiate it: dydx=3x26-12x2dydx=x22-12x2

Q: -Find the arc length of the curve: y3 x2 where 1<x<4

A:

Q: Find the length of the curve y = ln (sec x), 0&lt;= x&lt;= pai/4

A: Given,

Q: Find the arc length of the curve x = a cos3θ, y=a sin3θ in [0,2π].

A: The arc length formula for the parametric curve on the interval [a,b] is given by: Hence compute…

Q: Find the exact length of the curve. y = ln(cos x),   0≤ x ≤ π/3

A: Formula used: L=∫ab1+dydx2dx

Q: 3. Find the length of arc of the curve y = ln(secx) from x = 0 to x = 4

A:

Q: Find the length of the curve y = ln (cos x), 0&lt;= x&lt;= pai/3

A:

Q: 3 The arc length of the portion of the curve y=x 2 with 0<x<4 is

A: I have append the formula used to find arc length in the solution part.

Q: Find  the Arc length of the graph of y=Ln(cosx) from x=0 to x=π/4

A:

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

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Q: Find the arc length of the graph of the function y=ln(ex+1ex−1)y=ln(ex+1ex−1) over the interval [[…

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Q: Find the arc length function for the curve y2 = x³ taking Po(1, 1) as the %3D starting point.

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Q: 1 for the interval [1,3]. 8x2 Find the arc length L of the curve y

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Q: Find the arc length of the graph by partitioning the x-axis.   y= ln(sin x), from x = pi/6 to x=…

A: Let fx be a smooth function over the interval a,b. Then arc length of the portion of the graph fx…

Q: Find the length of the arc of the curve x2 + y2 = 64 from x = -1 to x = -3, in the second quadrant

A: The curve in the second quadrant can be represented as, x2+y2=64y=64-x2   The derivative of the…

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

A: Given y=x416+12x2, x=2 to x=3

Q: Find the arc length of y= x2/8 - ln(x) from x=1 to x=4

A: We find dy/dx of the given function.

Q: The arc length of 元 y=ln(cos x), 0<x<= is 3 the curve

A:

Q: Find the arc length of the graph of the function over the given interval.          y = ln x, [1, 5]

A: Given, The function y = ln x in the interval [1, 5].   To find the arclength of the graph of the…

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 graph of x = 1 8y4 + 1 4y2 over the interval [1, 2].

A:

Q: Find the exact length of the curve x3 y = 6. 1 <x < 1. 2x Arc length

A: we have to find the arc length of the given curve

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

A:

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

A:

Q: 1. Find the arc length of the curve f(x) = 3 4 (x + 2)2 on the interval [0, 4]. 3

A: Find the arc length