What is the arc length of the polar curve r = 1– sin 0 for 0 <0 (a) 2(v2– 1) (b) 2- v2 (c) 2v2 (d) 2(2 – v2) (e) 2+ v2

Q: 4. Use the Arc Length in Parametric Form formula to find the arc length of the curve with the given…

A: Given parametric equations, x= 3sint ,   y=3cost,     0≤t≤π3

Q: (1) Evaluate the line integral 4xy dx + (2x² – 3xy)dy if the curve C consists of the line segment…

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Q: The arc length of the curve r= cos 30 with 0<0<nis попе J V-9(sin 30)² + (cos 30)² d0 I (sin 30)² +…

A: In this question we have to find the arc length of the curve.

Q: Find the arc length of the function y = x2 + x - 2  on the interval [-2,1].

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Q: Consider the curve C parametrized by (x, y) = (3 cos (-10t), 3 sin(-10t)), for –x/2sts a/2 Then C is…

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Q: Find the arc length of y³ + y = x² + 6x on the interval [-5, –1].

A: Since the given graph is in implicit form (we can not find the explicit value of y in terms of…

Q: Find the arc length of the ellipse x = 11 cos t, y = sin t, (0<t< 2 T) */2 V1+sin² t dt 7/2 V1+120…

A: Given problem:-

Q: A cantilever beam of length L is embedded at its left end. Find the deflection of the beam when w(x)…

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Q: Let A be a curve defined by the equations 3 x = 3t2 – 4 and y = sin (-nt). Set up (do not evaluate)…

A: Here, the given parametric curve A is: x=3t2-4, y=sin-32πt Now, to find the arc length of A from…

Q: 8. Find the arc length of y' + y = x² + 6x on the interval [-5, – 1). 9. Using the same arc in…

A: Arc length is the distance between two points along a section of a curve. Formula for finding arc…

Q: Find the arclength of the curve a = 8 cos(3t), y = 8 sin(3t) with 0 < t<. 9

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Q: A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 - 3t) %3D Find the…

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

A: The expression for the arc length of the curve is: L=∫ab1+dxdy2dy Given: x=-3y32a=0 &amp; b=4 Now…

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 arclength of the curve x = 3 cos(5t), y = 3 sin(5t) with 0 <t< 20 %3D

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Q: Find all the values of t where the tangent line to the parametric curve is horizontal or vertical.…

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Q: Consider the parametric curve: x = ln(t + 5) y = −6t5 Which integral gives the arc length of the…

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Q: Find the arc length (8) of the curve 7 (t) = ( – 2e*, – 4e*, – 2e*) fo %3D c - - -

A: Explanation and solutions is given below....

Q: 4 Find the arc length of the curve the interval 2≤+ ≤ 5 3 given parametrically by x= 3 + ² y = + ²,²…

A: To find out the arc length of the curve.

Q: 2. What is the arc length of the polar curve r = 1- sin 0 for 0 <0< <5? 2 (a) 2(v2 – 1) 2 - V2 2/2…

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Q: Compute sin (z) dz over the counterclockwise circle (traversed once) with radius 7 centered at Zo =…

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Q: Find the arc length of y³ + y = x² + 6x on the interval [-5,–1].

A: The arc length, L of a function, x=f(y) in the interval [a,b] is calculated using the formula below.…

Q: Find the arc length of the parametric curve x = cos(2nt), y = sin(2rt) over the interval 0 <t < .…

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

A: Given curve is

Q: Find the arclength of the curve r = 5 cos(6t), y = 5 sin(6t) with 0 <t<. %3D

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Q: 1. Find the arc length of the curve x = r=(y²+ 2)2 from y-0 to y-1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the arc length of the graph of y = √(16 − x2) over the interval [0, 4].

A: Given: y=16-x2 interval [0, 4]

Q: y=[,Vcos 2t dt COS

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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: The arc length of the curve r= cos 30 with 0<0 < is T V(sin 30)² + (cos 30)² do 0. o" V-9(sin 30)² +…

A: Given that: r=cos3θand  0≤θ≤π

Q: 2. Reparametrize R using the arc length as parameter from the point P(-1, √37,5).

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Q: Find the arclength of the curve y = x – In x if < y< -1. Do not simplify your answer for this…

A: Given: y=18x2−ln⁡x if 18≤y≤e28−1 ⇒f(x)=18x2−ln⁡x if 1≤x≤e The arc length of the portion of the graph…

Q: 44. A tangent at the pole to the polar curve r = 2- 4 sin 0 is af pole 0 = = D 0 = Sing 8sin

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Q: Find the length of the arc from 0 = 0 to 0 = 2n for the cardioid r = f (0) = 2 – 2 cos 0.

A: Solution if r=fθ  has a continuous first derivativefor α≤θ≤β then length of polar…

Q: ..... The area of the surface generated by revolving the curve x = 1 cos (2t), y = 7+ -sin (2t) on…

A: Follow 2nd and 3rd step.

Q: 1. Find the arc length of the curve x (y²+ 2) from 2. Find the arc length of the curve y + from x-2…

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Q: 4. Find the arc length of the curve x=y+y from y-1 to y-4

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Q: 1-Find the exact arc length of the parametric curve without eliminating the parameter X-cos t + t…

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Q: 4. Find the arc length of the curve y* +y from y31 to y-4 X%3D

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Q: Show that the arclength of the graph of y = sin x on the interval [0, 27] is equal to the circum-…

A: The length of the smooth curve ζ : [ 0 , 2π] →ℝ2  is given by I(ξ) = ∫02π ξ'(t)  dt

Q: #5. Evaluate the line integral (xydx +2x dy), where C is the arc of the parabola with equation y=…

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Q: 1. Find the arc length of the curve x = x=(y+ 2)2 from y-0 to y-1

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Q: 1. Find the arc length of the curve x = (y + 2)2 from y-0 to y-1 2. Find the arc length of the curve…

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Q: Show that the arc length of the graph of y = sin x on the interval [0, 2π] is equal to the…

A: Given, Equation of Ellipse is x2+2y2=2 Now divide the equation of ellipse by "2" we get,…

Q: what  is the arc length of the parametric curve x=cos2 θ y=cosθ and  θ  is bounded between 0 and π/2

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Q: The arc length of the curve r= cos 30 with 0<0<T is J V (sin 30)² + (cos 30)² d0 T" V-9(sin 30)² +…

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Q: Find the arc length of the graph of y = ln(cos x) from x =  0 to x =  /3.

A: We know that, the general formula for Arc length of a curve is given as Arc lengthL=∫x=ax=bdSWhere,…

Q: The area of the rotational surface resulting from rotating the arc of the curve x=cos^3 t, y=sin^3 t…

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Q: The arc length of the curve r= cos 30 with 0<0 ST is I V-9(sin 30)² + (cos 30)² d0 0. I V(sin 30)² +…

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