Find the lengths of the following curves: 3 d. x = t² /2 y = (2t + 1)7/3, 0

Q: 48. x = e' – t, y= 4e"², 0<t<2

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Q: Find the length of the curve y = xVa 0 <x < 1.

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Q: Find the lengths of the following curves: b. x = cost and y = t + sin t, 0<t<n

A: we have to find the length of the given curve

Q: Find the exact length of the curve. 4 1 X = 1<y< 3 + 8 4y2"

A: we will find the exact length of the curve.

Q: Find the exact length of the curve. y = 5 + + cosh(6x), 0 < x < 8 6 31

A: We have to find exact length

Q: Find the exact length of the curve. y4 1 X = 8 1sy< 3 4y2"

A: Here the formula of length of the curve is:

Q: Find the exact length of the curve x = 5 + 12t? for 0 <t <1 y = 6 + 8t3

A: The objective is to find the exact length of the curve x=5+12t2, y=6+8t3 for 0≤t≤1 Now, dxdt=24t and…

Q: Find the equation to the tangent to the curve given by x = 2y and y = t + 5 at the point where t = 2…

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Q: Find dy/dx and d²y/dx². x = t2 + 7, y = t² + 9t dy dx2 For which values of t is the curve concave…

A: Here we have to differentiate the given parametric equation.

Q: Find the exact length of the curve. x =Vy ( - 3), 1sys 25

A: given: x=13yy-3

Q: (b) Find the value of k for which 2y +x k is a tangent to the curve y +4x 20. %3D

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Q: Find the exact length of the curve. = 글Vy (y-3), 16 sys 25 X =

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Q: Find the exact length of the curve given by Length = x = 2t², y = (0 ≤ t ≤ 4).

A: A detailed solution is given below

Q: Find an equation for the line tangent to the curve x= 2sin(t), y= 4cos(t) at the point defined by…

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Q: Find the exact length of the curve.   36y2 = (x2 − 4)3,    5 ≤ x ≤ 6,    y ≥ 0

A: NOTE: Refresh your page if you can't see any equations. . but here

Q: The line y = mx + 1 is a tangent to the curve y2 = 4x .Find the value of m

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Q: Find the exact length of the curve x = tsint, y = t cost where 0 ≤ t ≤ 1.

A: answer is in next step

Q: y = 1/2 (e² + e^¹), − 1 ≤ x ≤1

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Q: Q4:A/ Find the length of an arc of the curve y = (1/6) x + (1/2) x from x = 1 to x = 2.

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Find the exact length of the curve y=1+6x% for 0<xsl

A: We have to find the exact length of the curve y=1+6x32 for 0≤x≤1.

Q: Find the length of the are of the curve п x=e' sint , y=e' cost from t-0 to t=:

A: Given: x=etsint, y=et cost from t=0 to t=π2

Q: Find the length of the curve given by x(t) = 1 + 3t² ,y(t) = 4 + 2t³, 0 <t < 1.

A: xt=1+3t2yt=4+2t3 Differentiate the above equation w.r.t."t"…

Q: a)Find the exact length L of the curve 3y = (4x – 3), 1 0. Answer: b) Evaluate xe*dx Answer: .3 c)…

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Q: y = e*, 0<z<1.

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Q: Find the exact length of the curve. 1 1sys 2 4y2' X =

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Q: 3. For the 2 curves xy = 9 and x = 81y, find angle between the two tangent lines at the point of…

A: NOTE: Refresh your page if you can't see any equations. . the first curve is  . the second curve…

Q: Find the exact length of the curve. 1 y = 3+ cosh 2x, 0<1<1 2

A: we need to evaluate the Length of curve where  0 ≤ x ≤ 1

Q: Determine the length of the curve of the following functions (x²*+ 1)} a, y=- from x = 1 to x = 4 b.…

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Q: Find the exact length of the curve. y = 4 =Dx2-을 In(x), 1sxs6 =

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Q: Find the length of the curve parameterized by x = 2 + 3t² and y = 3 + 2t³ from t = 0 to t = 3.

A: To find the length of the curve parameterized by x=2+3t2 and y=3+2t3 from t=0 to t=3.

Q: Find the exact length of the curve. y = In(sec(x)), 0 <x< a/6

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Q: Find the length of the following curve. 3 y = 2x from x =0 to x=7

A: Given: y=2x32   from  x=0 to x=7

Q: Find the exact length of the curve. y = In(sec(x)), 0<x< 1/3 In (2 + v 2 ) – - In (1)

A: Since you have posted 2 questions we will solve one for you please resubmit the question. Given:…

Q: Find any points on the curve given by I =t+ sint, y= cos²(t), 0<t< 2n where the tangent is (i)…

A: Topic = Functions

Q: For the curve x=3cos(t), y=4sin(t), find the value of d^2y/dx^2 at the point where t=π/5.

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Q: of the curve yln x + 5x² + y' =13 at the point (1,2) dx b) Find

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Q: Find the length of the curve. 6t, , r(t) 0 <t< 1

A: Given:-r(t)=6t, t2, 19t3,         0≤t≤1since we have to find the length of curve.

Q: 2 Consider the two graphs y = 2x and x - xy + 2y = 28. The absolute value of the tangent of the…

A: Introduction :

Q: Find the length of the curve defined by the y-axis. over the interval <r< 1 about 2.r

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Q: Find the length of the arcc of the curve x=t2, y=t3 from t=0 to t=4.

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Q: 3x + xy? 2y + x?y dy dx

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Q: Find the exact length of the curve (a) x = 1+ 3t2, y = 4+ 2t³, 0<t<1 (b) x = e' cost, y = e' sin t,…

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

Q: At what point or points is the tangent to the curve C: x = t³,y = 5t², z = 10t perpendicular to the…

A: Given curve is C: x=t3, y=5t2, z=10t

Q: 49 sec t – 1 dt with 3 Find the length of the curve x = Length is

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Q: Find the length of the arc of the curve in the given range, y3 1 x = 16y + 4y² + 3 0 <y< 4 - 4(y…

A: we have to find th length of the arc for the given curve .

Q: s to the curve y = x* at the %3D

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Q: Find the exact length of the curve. y = In(sec x), 0s x s a/3

A: This question is based on application of Derivative.

Q: Find the exact length of the curve. y = 4 글2-글 In(x), 1 < x < 4

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Q: Find the length of the curve r(t) = for 0 ≤ t ≤ 2π Enter the exact value.

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Q: What is the length of the -3< x S3 segment of the y = v36 – x2 www vwwb w e curve?

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