Find the arc length of the curve .x = ln(sec t + tan t) - sin t  y = cost, 0 ≤ t ≤ π/3

Q: Find the point on the curve r(t) (12 sin t)i – (12 cos t)j + 9tk at a distance a) 5n units and b)…

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Q: find the arc length of the curve on the indicated interval of the parameter x=4t+9 y=9t-5 o<t<2

A: The arc length of a parametric curve can be found by the formula, L=∫titfdxdt2+dydt2dt consider the…

Q: Find the point On the curve R(t) = 5sint i + 5cost j+ 12t at adistance (26T) units along the curve…

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Q: Find the exact arc length of the curve over the stated interval. 24xy = y4 + 48, from y = 2 to y = 4…

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Q: Find the arc length of the curve y = ln(x) for 1 <I<e. ||

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Q: Find the arc length in the second quadrant of the curve x23 +y2/3 = 25 from x = - 125 to x = – 8.…

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Q: Find the point On the curve R(t) = 5sint i + 5cost j+ 12t at adistance (26t) units along the curve…

A: Arc length of a parametric curve: Let rt be a parametric curve. The arc length of the curve rt from…

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

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Q: Find the exact arc length of the curve over the stated interval. y = 9x/2 - 4, from a = 0 to x = 1…

A: y=9x32-4To find the arc length from x=0 to x=1

Q: Find the exact arc length of the curve over the stated interval. 48xy = y4 + 192, from y = 3 to y =…

A: Given, 48xy= y⁴+192 x= (y⁴/48y) + (192/48y) x= (1/48)y³ +(4/y)

Q: Find the arc length of the curve Nephroid perimeter: x = a(3 cos t − cos 3t) ,   y = a(3 sin t − sin…

A: Given: x=a(3cost−cos3t)y=a(3sint−sin3t)0≤x≤2

Q: Find the arc length when y = 2 ln(sin ) and /3 << x < T. %3D

A: Given: y=2lnsinx2 and π3≤x≤π To find the arc length of the given function. The formula for the arc…

Q: Express the arc length of the curve y = tan (x) for < x < as an integral (but do not evaluate).…

A: length of the carve over the intervel a to b is       ∫ab1+(dydx)2 Where y is the function…

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: 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 graph of the function over the indicated interval. (Round your answer to…

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

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Q: Find the arc length of the curve r = 2/0, for 7/2 < 0 < T Arc length =

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Q: Find the exact arc length of the curve over the stated interval. y = 4x2/3, from x = 1 to x = 64 %3D…

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Q: Find the point on the curve r(t) = (5 sin t)i + (5 cos t)j + 12tk at a distance 26n units along the…

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Q: se the arc length formula to find the arc length s of the curve y = | vt -ldt , 1<x <4. 1 int: think…

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

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Q: Please also draw the curve and show all steps as required to solve the math

A: Arc length is the distance between two points along a section of a curve. Determining the length of…

Q: Find the point on the curve r(t) = (12 sin t)i - (12 cos t)j + 5t k at a distance 13pai units along…

A: Given,

Q: Find the exact arc length of the curve over the stated interval. y = 7x%/2 – 2, from x = 0 to x = 1…

A: Here we have to find the arc length of the curve y=7x32-2 from x=0 to x=1

Q: Determine the exact arc length of the curve y 3/2 for r = 0 to x = 8. %3D L =

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Q: Find the exact arc length of the curve over the stated interval. 48.xy = yt + 192, from y = 3 to y =…

A: Given: 48xy =y4 + 192 To Find : Exact arc length of the curve over the stated interval i.e. from y =…

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: Use Simpson's Rule with the ARC length of the Curve. Sinx= Y n=10 to extimate nz1o

A: y/x = sinx Hence, y = xsinx

Q: ind the length of arc of the curve 6xy = x⁴ + 3, from the point where x = 1 to the point where x =…

A: Here given equation as 6xy=x4+3ory=16x3+3x Differentiate with respect to x…

Q: Find the arc length of the graph of the function over the interval. y = In(sin z);

A: Given,          y=lnsinx ; π4,3π4

Q: Find the exact arc length of the curve over the stated interval. 48xy = y4 + 192, from y = 3 to y =…

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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 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 arc length of y = (x + 4)° + (x + 4) for 1 < x < 2. Give your answer to three decimal…

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Q: Find the arc length of the curve on the interval [0, 2x]. Hypocycloid perimeter: x = a (cos(0))', y…

A: ANSWER : Length of arc = 6

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

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Q: Find the exact arc length of the curve over the stated interval. 24xy yt + 48, from y = 2 to y = 4…

A: This question is related to definite integration, We will solve it using given information.

Q: Find the exact arc length of the curve over the stated interval. y = 5x2/3, from x = 1 to x = 8 %3D…

A: As we know that; The expression for the arc length of the curve is; L=∫x1x21+dydx2dx From the given…

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

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Q: Find the exact arc length of the curve y = xi over the interval, x = 1 to x = 125 Arc Length =

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Q: Find the exact arc length of the curve over the stated interva. y = 4x2/3, from x = 1 to x = 64 %3D…

A: The given curve is: y=f(x)=4x23 To find the arc-length of the given curve over the interval [1,64]

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: 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: 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 ].