1. Evaluate dz and dz where C is a clockwise circular arc that begins at – 2i and ends at 2i. Show a sketch of curve C. HIN

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 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: 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 the length of the arc of the curve from point P to point Q. x2 = (y – 4)³, P(1, 5), Q(8, 8) %D

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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: Give a rough sketch of the graph of the curve r= 1+ cos40, 0 < 0<2r.

A: The given curve is  r=1+cos 4θ,  0≤θ≤2π

Q: In the figure below, VY and VW are tangent to the circle centered at O. The segment YW passes…

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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: 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: Evaluate where C is the portion of the circle centered at the origin with radius 2 in the 1st…

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Q: Find the exact length of the curve r = sin 0 + cos 0.

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Q: 3 5 х3; [1,3] 3 1 (с) y = у 10 У — X3 2

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

Q: Find cxdy + ydx, where C is the arc of the curve y = e* for 0 <x< 2. Submit Question

A: Given that:∫Cxdy+ydx, C is the arc of the curve y=ex for 0≤x≤2

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

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Q: Show that the arclength of the graph of y=sinx on the interval [0, 2n] is equal to the circumference…

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Q: Find the length of the following two-dimensional curve. (21+1,3/24 r(t) = 2 3 for 0 sts6 L- (Type an…

A: To find The length of the given two dimensional curve.

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: Find the arc length of the graph of the given equation from A to B (x+3)2 = 8 (y-1)3 A(-2,3/2)…

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Q: Find the arc length of the following curve given in parametric form:

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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 length of the following two-dimensional curve. r(t) = (2 cos t,2 sin t), for 0stsT

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Q: . Find the exact arc length of the following curve segments: 1 (a.) I= for 2< y < 3. + 3 4y (b.)…

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Q: Sketch the curve r= cos 20

A: Let us make a table for the given function θ 0 π/4 π/2 3π/4 π 5π/4 3π/2 7π/4 2π r 1 0 -1 0 1 0…

Q: Find the exact arc length of the curve x = y4/8 + 1/4y2 ,   1 ≤ y ≤ 3

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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: 1. Consider circle H below. Y Part A: If XH = 10 feet and mXY = 100, then determine the arc length…

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Q: Consider C(t) = -2i + 2eit, 0 ≤ t ≤ 2π. Is C an arc? Is C a simple arc? Is C a simple closed curve?

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Q: Find the arc length of of the line segment c(t) = (3+ 4t, –1 – 5t) fromt = 0 to t = 10- O 410. O…

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Q: Let C be the curve represented by R(t) = (cos 2t, 2√3t, 5 — sin 2t). Find the coordinates of point Q…

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Q: 1. y = 1 - x; A(1,0), B(8,-3)

A: According to the company rule, we can answer only the first question and rest can be reposted

Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

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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: 16 2. 27 2. Find arc length of the curve 2)

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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: Show that = sin t if t>0 and C is the circle z] = 3. 2mi Jz+1

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

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

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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: 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: Fined the arc leng th of the curve

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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: Sketch the curve r= cos 2θ

A: Symmetric test for polar coordinates r=f(θ): If f(θ)=f(-θ) then graph is symmetric about polar…

Q: See Fig 565, may not be drawn to scale, but it is representative of the curve, which is described by…

A: The amplitude is the half the length between maximum and minimum values of the wave. Here, the…

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

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Q: Find the arc length of the graph from A to B. f(r) = r/2 +1 24 22 20 18 16+ 14+ 12+ 10 8. (4, 9) 6.…

A: the arc length L=integration A to B of √(1+f'(x)^2)dx.