Find the length of the curve. x= cos t+tsin t, y = sint-t cos t, 0sts ..... The length is units.

Q: Consider the following. x = sin(t),    y = csc(t),    0 < t < π/2 (a) Eliminate the…

A: x(t) = sin(t)y(t) =csc(t)

Q: Find the length of the following three-dimensional curve. r(t) = (sin t, cos t, 4t), for 0sts5 L =…

A: Solve the following

Q: Which of the following curves are regular? Find a unit-speed reparameterisations of those that are…

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Q: Find the length of the following two-dimensional curve. r(t) = (cos t, sin ), for 0sts 6

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Q: Find the length of the following two-dimensional curve. r(t) = (cos t, sin , for 0sts5

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Q: Find of the curve the curve lenght from t=o to t=2M given C: P(t) = (cos 3t) î + (sin 3t) Î + ? tVt…

A: Here I am attaching image so that you understand each and every step.

Q: Find the length of the curve: "(1) =/21i +e'j+e°k, 0 si sl

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Q: the length of the curve r = V1+ cos 20 for – -sos.

A: In this question, the length of the curve is to be determined. Length of Curve The length of the…

Q: Find the exact length of the curve (b) x = e' cos t, y= e' sint, 0<t<T

A: Length of the curve for parametric equation is given by:

Q: Find the moving trihedral of the curve 7(t) at the indicated value: 7(t) = cos? t î + sin? t ĵ + 1…

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Q: Find the length of the given curve: where -4 < t ≤1. r(t) = (-2t, 2 sin t, 2 cos t)

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Q: r(t)=(cost+t sint)i+(sint -t cost)j, a/2<15a. %3D

A: We have to find arc length of given function.

Q: Q2/ Identify the symmetry of the curve r= sin e + cos e. Then sketch the curve in xy-plane.

A: Given: r=sin θ+cos θ The symmetry tests for polar graphs. 1. Symmetry about the x-axis: If the point…

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: Q1:- Find T(t) and N(t) for the curve helix x = a cos t, y = a sint and z = ct, and then find B(t),…

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Q: Find the length of the curve 7 (t) = (cos(3t), sin(3t), 2t) for – 8<t< 7 - Give your answer to two…

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Q: Find the arc length of the curve y = 3sin?t- 1 dt for -7<x<7. V3 28/3

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Q: Find the length of the curve r(t) = e³t cos(t), y(t) = et sin(t) for 0 < t < 10. Give an exact…

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Q: Find the arc length of the curve y = e*te, o<x < 2.

A: Given equation - y = ex+e-x2               ..............(1)Formula for finding the arc length of a…

Q: given curve i's rotated adout OU

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Q: Find the length of the following two-dimensional curve. r(t): = (cos t, sin t) , for 0stsT The…

A: The formula for finding the length of the curve is explained in step 2 with a general observation…

Q: Find the arclength of the curve r(t) = (2 sin t, 6t, 2 cos t), –7 < t < 7

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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 length of the curve. The curve r= 8,/1+ sin(20), 0 <0< 4 A) 27 C) 8(7+ In(m

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Q: Find the length of the curve. r(t) = , −4 ≤ t ≤ 4

A: The length of the curve is given by  r(t) = &lt;5t, 3 cos(t), 3 sin(t)&gt; r'(t) = &lt;5, -3…

Q: Find the arc length of the curve 3y = 4x between the points (3,4) and (9, 12). А. 8 В. 9 С. 10 D. 11

A: The solution is:

Q: w Find the lengths for the fallowing curvers tar=lt cose 2.

A: find the length of both polar curve as following:-

Q: Find the exact length of the curve. 43. x = t sin t , y = t cos t , 0 ≤ t ≤ 1

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Q: Find the length of the subtangent and subnormal of a point of the curve y=b sin (x/a)

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Q: Find the length of the curve The cardioid r = 1 + cos u

A: Solution:Given             r=1+cos uFormula:l=∫θ1θ2r2+drdθ2dθ

Q: Find the length of the curve r(t) = (3 cos t)i + (3 sin t)j + 2t³/²k , 0sts3. %3D

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Q: where C is the curve r(t) = (sin(t), cos(t), sin(2t)), 0 ≤ t ≤ 2

A: Given C is the curve                        r(t)=sin(t), cos(t), sin(2t), 0≤t≤2π and…

Q: Find the exact arc length of the curve on the given interval. Parametric Equations Interval x = t? +…

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Q: Find the length of the curve. r(t) = cos(3t) i + sin(3t)j + 3In(cos(t)) k, 0 stsn/4 Submit Answer

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Q: Find a rectangular-coordinate equation for the curve by eliminating the parameter. x = 2 cos(t), y =…

A: Given parametric equations are

Q: Find the length of the curve. r(t) = (9t, 3 cos(t), 3 sin(t)), -7<t<7 %3D

A: Given,

Q: Find the equation of the osculating, normal, and rectifying planes for a (t) ( cos t, – sin t, cos…

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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: Find the length of the curve. A) 18 3 sin(t)+3t, y 3 cos(t), 0 sts B) 6 %3D %3D C) 3T D) 12

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Q: Q/B) Find the length of the cardioid curve: r 1+ cose

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Q: Let Sketch the curve and find the length of this curve. r(t) = (t, 3 cost, 3 sin t), 0≤ t ≤ 2π.

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Q: Given the parametric equation x=(4/5)t5/2 and y= (1/4)t4-t find the arc length of the curve on the…

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Q: Consider the following. x = sin(t), y = csc(t), 0 <t< n/2 (a) Eliminate the parameter to find a…

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Q: Find the length of the following three-dimensional curve. r(t)= (sin t, cos t, 2t), for 0sts4

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Q: Use the formula below to find the length of the curve defined by the equation x= cos^2 t , y = sin^2…

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Q: Find the length of the following two-dimensional curve. r(t) = (5 cos t, 5 sin ), for 0sts

A: Recall: Length of the Parametric form :L=∫t=at=bx'(t)2+y'(t)2 dt

Q: Find the length of the following​ three-dimensional curve. r(t)=cos t, sin t, 3t​, for 0≤t≤2

A: Given that rt =cost,sint,3t  for 0≤t≤2 find the length

Q: Find the length of the curve. x- 5 sin t+ 5t, y= 5 cos t, 0 st< O A. 5T O B. 20 O C. 10 O D. 30

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Q: Use any method to sketch the curve given by x = t cos(t),y = t sin(t), t e [-27, 27] %3D

A: Given : x=t cos ty= t sin t