1. Find the length of the curve: y = x/2 , x = 0 to x = 4

Q: Find the exact length of the curve 2 y = (x²– 1)3/2, 1< x < 3. Arc length =

A: We will use the arc length formula to.find the arc length of the curve.

Q: (b) Investigate where the curve y = xy4 - x² is concave up and concave down?

A: Given curve is y=x4-x2 find the concavity of the given curve

Q: 7) Find the exact length of the curve. x= e' +e', y =5-2t; 0<t<3

A: Solution:Givenx=et+e-t     y=5-2t     0≤t≤3To find the length of the curveFormula:Length of the…

Q: Set up an intergal of the Curve for the length 3T Y%3DZE* sin (x), O4 xE 2

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Q: Find the exact length of the curve. y =  1/4 x2  - 1/2 In x,   1≤ x ≤ 2

A: Consider the given curve Here the objective is to find the exact length of the given curve

Q: 1. Find the length of the curve y = 3 xi - () x , from x = 1 to x = 4.

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Q: 1. Consider the curve C given by y = 5 + 2x3/2, 0 < x <1. (a) Find the length of the curve C.

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

A: given: x=13yy-3

Q: Find the exact length of the curve. y =  3 +1/2 Cosh 2x,   0≤ x ≤ 1

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

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Q: 1 Find the length of the curve x= from y 1 to y=2. +. 16y

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Q: 1 2. Find the length of arc of the curve x = + from the point where y = 1 to the point where y = 2.…

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Q: Evaluate [(x +2y) ds, where C is the curve defined by y = √√4 – æ², for x = [0, 1

A: Here ds is arc length.

Q: tind the point on the curve y=Jx that is closest to the point (3,0).

A:

Q: Find the length of the curve x = 5-t, for 1 < t < 2. length = y = 3-t, z = 3t 5,

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Q: Show that the exact length of the curve below is y = Vr - r² – sin ¬1 (V7)

A: SOLUTION-

Q: y = 1/2 (e² + e^¹), − 1 ≤ x ≤1

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Q: 10. Find the exact length of the curve y = In(sec x),0 < x<T/4 %3D

A: This is a problem related to integration of the function. Based on the integral formula we will find…

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: X = 8 1 + 1 < y< 2 4y2'

A: We find the length of the given curve by using the formula of length of the curve. The length of a…

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: Explain the steps required to find the length of a curve x = g1y2 between y = c and y = d.

A: It is given that x=gx for c≤y≤d.

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

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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: Find the exact length of the curve. y = In(sec(x)), OsxSa/4

A: Length of a curve f(x) in interval [a,b] is given by ∫ab1+(f'(x))2dx

Q: C3. Find the length of the of the curve x= 1 from y = 1 to y = 2 %3D 4 8y?

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Q: I Discuss the properties of the curve and sketch fully: a) y = x² e-x 1+lnx %3D

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Q: Find the length of the curve y=z from z 0 to z=4.

A: The length of the curve is given by:

Q: 1. Find the exact length of the curve. (a) y² = 4(x+ 4)°, 00 (b) y = In z, 1<I<2

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Q: The length of the curve y = Ey3/2 between x = 0 and X 1 is %3D

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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 the exact length of the curve. 1 Vy (v - 3), 4 < y< 16 3 X =

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Q: Find the length of the curve y = 4 1 between x 1 to x 2. %3D &x2

A: It is length of curve.

Q: 7. Find the exact length of the curve: x (t) = 2t, y(t) = 2t, 0 ≤ t ≤ 1

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Q: Find the exact length of the curve. x = et + e=t, y = 5 – 2t, 0st< 4

A: The solution are next step

Q: What is the length of the curve I= cost +tsint, y=sint - tcost, (0 <t< 2n) ?

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Q: 4. Find the are length of the curve from y=1 to y-4

A: The given curve is x=18y4+14y-2 from y=1 to y=4

Q: Find the length of the curve. y = (4 - x2/3) 3/2 from x = 1 to x = 8 O 9 O 12 O 18 O 6

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Q: Find the exact length of the curve. y = In(sec(x)), Osxs- 6

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

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Find the exact length of the curve. y = x2 - In(x), 1 < x < 4

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Q: Find the arclength of the curve y=3/2x^2/3 for x=1 to x=8.

A: Find the arclength of the curve y=3/2x^2/3 for x=1 to x=8.

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

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Q: he length of the curve y = sin(3X) from x = 0 to I= is given by

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Q: Find the exact length of the curve. x = Vy (y - 3), 9 < ys 25

A: It is given that x=13yy-3, we need to find the exact length of curve.

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 length of the arc of the curve x2=(y-2)3 from P(1,3) to Q(8,6).

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Q: Find the exact length of the curve. Y=y4/8 + 1/4y2, 1 less than or equal to Y less than or equal 2.

A: Given: Y=y48+14y2 , 1≤y≤2 As, the length of the curve, L is given by: L=∫ab1+dydx2dx According to…