1. x = 3t + 1, y = 4t + 2; 0 < t< 2

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: Find the exact arc length of the curve x = + 2)? from y = 0 to y = 5. Enter the exact answer. L =

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Q: In  the given  equation as  follows , find the arc length of the curve on the given interval :-…

A: Consider the given parametric equations x=t , y=t510+16t3  And the given interval is, 1≤t≤2 Now,…

Q: 1 (y² + 2)³ from y = 1 to y = 5. Find the exact arc length of the curve x = Enter the exact answer.…

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Q: Consider the curve f(y) = -y + for 1 <y<2. Find the arc length of the curve.

A: The curve is fy=18y4+14y2 where 1≤y≤2. The arc length of the curve fy on the interval a,b is defined…

Q: Q3:- Find the arc length of the parametric curve x = cos3 t, y = sin³ t and z = 2 ,0 <t <

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Q: Find the exact arc length of the curvex = 1 3(1² Enter the exact answer. L = + 2)² from y = 1 to y =…

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Q: Find the arc length of the parametric curve. = 4 cos(t), y = 4 sin(t), % = 3t; 0 < t < T L =

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Q: = cos' t, y= sin’ t, z=2, where 0Sts“ 2 Find the arc length of the curve x

A: Given curves are, x=cos3t , y=sin3t, z=2.

Q: Find the arc length of the curve on the given interval. Parametric Equations      x = e−t cos t, y =…

A: We have given;

Q: Find the arc length of the following curve on the given interval. x=24t+8, y = 7t+3, 0≤t≤2 The…

A: Given equation of function is  x=24t+8,y=7t+3, 0≤t≤2 The arc length of the given function is…

Q: Find the length of arc of the given curve. 5. R= (sin 2t , cos 2t , 2t³/2), 0 sts1.

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Q: Find the arclength of the curve in the given interval. x = 3 cos? t , y= 3 cost sin t , 0 s<t <t

A: solution is written in below steps.

Q: Consider the curve VI(y – 3)/3. Find the arc length of this curve over the interval 1 < y < 9.

A: Find dx/dy using power rule

Q: Find the exact arc length of the curvex = + 2)7 from y = 1 to y = 8. Enter the exact answer. L% =

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Q: 1 + 2)? from y = 1 to y = Find the exact arc length of the curvex = 3 Enter the exact answer.

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Q: What is the arc length of the given parametric curve x = cos3t; y = sin3t;0 <t< 2n. O 37 None of…

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Q: x? In x Find the arc length of the curve y = f(x) = 4 on the interval [1,2]. 2

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Q: Parameterize the curve r(t) = (2+ cos 3t, 3 – sin 3t, 4t) using arc length, s, as a parameter. Use t…

A: Given the curve rt=2+cos3t, 3-sin3t, 4t---1. Differentiating, we get vt=r't=-3sin3t,…

Q: Q1 Consider the plane curve defined by the parametric equations x = p + t sin(t),y= p² + t cos(t).…

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Q: x = r', y = 5:0 s 1 1

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Q: Find the arc length of the curve on the given interval. Parametric Equations     x = √t, y = 3t − 1…

A: Given: Parametric Equations x = √t, y = 3t − 1 Interval 0 ≤ t ≤ 1

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: Find the arc length by eliminating the parameter x = t^2, y =1/3t^3(0 ≤ t ≤ 1)

A: The formula for arc length is  L=∫01dxdt2+dydt2dt Calculate the required differentials dxdt=2t…

Q: Use the arc-length formula of the parametric equation and evaluate the arc-length of the curve while…

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Q: Find the arc length of the curve on the given interval. Parametric Equations    x = 6t2 , y = 2t3…

A: Given parametric equations are x(t)=6t2, y(t)=2t3

Q: Use the parametric equations x=e^-t , y=e^(2t) where t is real, to answer parts a through c. a.…

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Q: Find the exact arc length of the curvex = 1 + 2) from y = 0 to y = 8. Enter the exact answer. L =

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Q: Find the arc length of the parametric curve. x = 14 cos(t), y= 14 sin(t), z = 48t; 0<t<T L

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Q: Find the arc length in the second quadrant of the curve x3 + y2/3 = 25 fromx = - 125 Enter the exact…

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

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Q: b) r = a sin? for 0s0sn and a >0

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Q: Find the exact arc length of the curve x = Enter the exact answer. L = (y² + 2)² from y = 2 to y =…

A: We need to calculate the exact arc length of the curve: x=13y2+232 from y=2 to y=7.

Q: Consider the following. x = sinh(t), y = cosh(t) (a) Eliminate the parameter to find a Cartesian…

A: Solution: The objective is to eliminate the parameter to find a Cartesian equation of the curve

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: Given the parametric curve x = t – sin(t),y = 1 - cos (t), find an equation for the line tangent to…

A: Given: x=t-sint y=1-cost at t=pi/3

Q: Find the arc length of the curve on the given interval. Parametric Equations x = 5t + 5, y = 7- 2t…

A: The parametric equations of the given curves are   x=5t+5,  y=7-2t and the given interval is -1≤t≤3…

Q: Find the exact arc length of the curve x = 3 (v² + 2)³ from y = 1 to y = 5. Enter the exact answer.…

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Q: Find the length of arc of the given curve. 5. R= (sin 2t, cos 2t , 2t³/2), 0 sts1.

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Q: length of the parametric curve defined by x = t³ +2, y = 2tº/2, for 1 <t < 3. e the arc

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Q: Find the exact arc length of the curve x == 3 + 2)7 from y = 1 to y = 6. Enter the exact answer. L =

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Q: x = cos 21, y = sin³ 2t; 0 < t < T/4

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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: Find the exact arc length of the curve x (y² + 2)² from y = 2 to y = 6. Enter the exact answer. L =

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Q: Find the exact arc length of the curve x = + 2) ? from y = 1 to y = 5. Enter the exact answer. L =

A: Given problem:-

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: B(t- sint), y = B(1+ cost), in a) Find the arc length of the parametric curve x = the range 0 <t s÷,…

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Q: For the curve with parametric equations x = 4 sin (t) – 1 y= 2 cos (1) + 3 dy find the point dx at…

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Q: Find the exact arc length of the curve on the given interval. Parametric Equations Interval x = 4…

A: Given: x=4cosθ, y=4sinθ; θ∈0,π for finding arc lengthL, first we convert given equation in…