Find the exact length of the curve. 36y2 = (x² – 4)³, 4 < x < 9,

Q: nd the exact length of the curve. y = 3 1. 4x 1sxs2

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Q: Find the exact length of the curve. x = 8 + 12t2 y = 3 + 8t3 Osts 3

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Q: 4/2 % for 0 sxsl. Find the length of the curve y+1=- 3

A: The equation is y+1=423x3/2.   Differentiate with respect to x.…

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: 7. Find the exact length of the curve: y = 1 + 6x³/², 0 < x < 1.

A: The length of the curve is calculated from the graph.

Q: 3/2 Find the length of the curve. y = (x* +4)" OSxs2

A: see below the answer and calculation

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

A: given: x=13yy-3

Q: Find the exact length of the curve given by 2t2 t3 (0 <t < 5). x = Length = ||

A: Solve for the length of curve

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

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Q: 10. Find the length of the curve y = x/2 + 8 on the interval [0, 2]

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Q: Find the exact length of the curve. y - 4 + 2x 3/2, o sxS1 1.547

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

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

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Q: Q1. Find the length of the of the curve y -x2 X2 from x = 0 to x = 3.

A: Given curve is, y=13x32-x12 To find the length of the curve from x = 0 to x = 3

Q: Find the values of k for which the line y+ kx – 2 = 0 is a tangent to the curve y = 2x? – 9x +

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

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Q: Find the exact length of the curve. y = x3/2, osxs 6 3

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Q: 3. Find the length of the curve r = e® for 0ses 2n.

A: Given polar curv er=eθ   ; 0≤θ≤2π

Q: 2 =(x² - 1)³/²,1 ≤ x ≤ 3

A:

Q: find the length of the curve on the given interval: y = 4/3 (x+1) ^ (3/2), [0,3]

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Q: Find the exact length of the curve. x = 3t2, y = 2t3 ;0 <t<2

A: Given data:     The first parametric equation is: x=3t2. The second parametric equation is: y=2t3.…

Q: Find the exact length of the curve. X = 8. 1sys 2 4y2'

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Q: d the exact length of the curve. y = 1 + 8x3/2, Osxs1

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Q: Find the exact length of the curve. x = 4 + 6t2 y = 6 + 4t3 0 sts 4

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Q: a) Find the length of the curve y = 5x/T - 6, 1<r< 3.

A: Arc length of the curve along x-axis

Q: 3 y + 3 Find the length of the curve x = 18 2у on 3sys5.

A: Length of the curveL=∫ds where ds=1+dxdy2dy y is between 3  and 5…

Q: Find the exact length of the curve. y = 5 + 2x³/2, 0≤x≤ 1 2.268 X

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Q: 9. Find the length of the curve defined by r(t) = (t, -1sts1.

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Q: Find the exact length of the curve. 1 + 1sys 2 8 4y2

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Q: Find the exact length of the curve. y (y-3), 4sys 16 X =

A: use derivative for finding the exact length.

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: Q4\ Find an equation for the tangent line drawn to the circle (x- 3)2 + (y+ 3)2 = 50 at the point P…

A: Here, the given equation of the circle is (x-3)2+(y+3)2=50. We need to find the equation of the…

Q: Q4/ Find the length of the curve y () (x² + 2) from x 0 to x= 3.

A: The length of a curve f(x) on an interval [a,b] is: L=∫ab1+(f'(x))2dx Where f'(x) is the first…

Q: Find the exact length of the curve. x = 8 4y2' 1sys 2

A: Given, x=y48+14y2,1≤y≤2

Q: Find the exact length of the curve. X = 3 + 6t2 y = 5 + 4t3 0 <ts 3

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Q: Q1. Find the length of the of the curve y = from x = 0 to x = 3.

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

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Q: Find the exact length of the curve. 1 1 s x s 3 y 4x

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

Q: n of the curve, L. (x+ 1)* , 0 0

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Q: 6. Find the exact length of the curve. x = 3t2, y = 2t3 ;0 <t < 2

A: Here given  Differentiate the above function with respect to t

Q: Find the exact length of the curve. y ‹ = ²(1 + x²j³/2₁ 3/2, 0≤x≤ 5

A: The objective of the question is determine the length of the given curve.

Q: Find the exact length of the curve. y = 1. 1sxs 2 + - 3 4x

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Q: Q1. Find the length of the of the curve y= from x = 0 to x = 3.

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Q: Find the exact length of the curve. y = (2/3)(1 + x2)3⁄2,      0 ≤ x ≤ 2

A: Given: - The curve is, y=23(1+x2)32,  over the interval, 0≤x≤2 To find: - The exact length of the…

Q: Find the length of the curve y =1+6x?on the interval 0<x<1.

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Q: 10. Find the length of the curve y = x/2 + 8 on the interval (0, 2]

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Q: d the exact length of the curve. =√y (y - 3), (y - 3), 4 ≤ y ≤ 16

A: