Find the exact length of the curve. x = 8 + 3t2,    y = 3 + 2t3,    0 ≤ t ≤ 5

Q: Find the length of the curve x= 4y +- from y = 1 to y = 3. w/ The length of the curve is (Type an…

A: We find dx/dy using the power rule.

Q: Find the length of the curve x=2t, y=3t, 0≤t≤1

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Q: Find the exact length of the curve. x = 1 + 9t2, y = 8 + 6t3, 0 ≤ t ≤ 3

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Q: Find the length of the curve r = θ2−1 from θ =1 to θ = 2

A: TO FIND THE LENGTH OF THE CURVE r = ∅2-1      from  ∅ =1  to ∅ =2 USING FORMULA ∫abr2 +(drd∅)2   d∅

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 = 7 + 3t2,    y = 7 + 2t3,    0 ≤ t ≤ 2

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Q: Find the exact length of the curve. y? = 64(x + 5)3, 0sxs1, y > 0

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Q: Find the exact length of the curve. x = et − 9t,    y = 12et/2,    0 ≤ t ≤ 2

A: Note that:Arc length formula = ∫abdxdt2+dxdt2 dt                   where , a≤t≤b       Given,…

Q: Find the exact length of the curve. x = 2/3t3,  y = t2 − 2,  0 ≤ t ≤ 2

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Q: find the length of the curve y=x^2-1/8lnx for 1<=x<=3

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

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Q: 2. Find the exact length of the curve. y = 3 ,1 < x< 2 15+51

A: Find the exact length

Q: Find the length of the following curve. 3 y = 2x from x = 0 to x= 1 The length of the curve is

A: Given curve y=2x32 The length of the curve have to be found from x=0 to x=1 The length of curve…

Q: Find the exact length of the curve. x = 2 + 3t2, y = 5 + 2t3, 0sts 2

A: Given,

Q: Find the exact length of the curve. x = 6 + 3t?, y = 2 + 2t3, 0 sts 5

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Q: Find the exact length of the curve. x = 4 + 3t2,    y = 1 + 2t3,    0 ≤ t ≤ 3

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Q: Find the exact length of the curve. x = 4 + 3t2,    y = 1 + 2t3,    0 ≤ t ≤

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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: Find the exact length of the curve. x = 8 + 12t2, y = 9 + 8t³, 0 st< 3

A: given parametric equation of curvex = 8+12t2 ,   y = a+8t3

Q: Find the length of the curve Y = 4x^3/2 from x = 1 to x =8

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Q: Find the length of the curve  x=y4/8+ 1/4y2 , 1≤Y<B

A: Consider the curves, x=y48+14y2,   1≤y≤2 Differentiating with respect to ‘y” then,…

Q: Find the length of the curve: a = t°, y = *; 0<t< v120 3t Find the length of the curve: x = t°, y =…

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Q: Find the exact length of the curve. x = 1 + 6t2 y = 5 + 4t3 0 ≤ t ≤ 2

A: Now, we just need to find the above integral.

Q: For x &gt; 0, sketch a curve y = ƒ(x) that has ƒ(1) = 0 and ƒ′(x) = 1/x. Can anything be said about…

A: We have to find f(x) first. c= integrating constant

Q: Find the length of the curve r = 02 from 0 = 0 to 0 = 14.

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Q: Q5) Find the length of the curve: r = asin? ,0 0.

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Q: Find the exact length of the curve.x = 3 + 6t2y = 8 + 4t30 ≤ t ≤ 4

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Q: Find the exact length of the curve y=x3/3 + 1/4x, 1 less than or equal to X less than or equal to 2

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Q: Find the exact length of the curve. 1 + x?)3/2, 0sxs2 y

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Q: 1a)Find the length of the curve: x=t^3,y=3t^2/2; 0 ≤ t ≤ 224 b) Find the length of the curve:…

A: Given,  a) x=t3,y=3t2/2 b)x=t3,y=3t2/2.

Q: Find the exact length of the curve. x = 5 + 12t2,    y = 4 + 8t3,

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Q: Find the length of curve x = t², y = t³ from x = 0 to x = 5.

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Q: Find the length of the curve r(t)=, -2 "< or equal to" 0, "< or equal to" 2.

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Q: Find the exact length of the curve. x = 3 + 9t2,    y = 4 + 6t3,    0 ≤ t ≤ 4

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Q: c) Find the exact lenght of the curve y = 100x – 100 between on the interval 0 < x < 11/2 Answer:

A: We can find the arc length as below.

Q: Find the length of the curve Y = 4x^3/2 from x = 0 to x = 5/16

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Q: 8- Find the lengthf the Curve are 24xy=x+48 Hem X=2 tox=y Hint The eure Can be written as fettow +2X…

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

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Q: Find the exact length of the curve. x = 7 + 6t2,    y = 2 + 4t3,    0 ≤ t ≤ 3

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Q: Find the exact length of the curve y = (x+4)3/2, 0 < x < 4

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Q: Find the exact length of the curve. y2 = 64(x + 1)3,   0 ≤ x ≤ 1,  y > 0

A: Given,             y2=64x+13 , 0≤x≤1 , y&gt;0To find : Find the exact length of the curve.

Q: r= g° ,0<g<\5

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

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

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Q: Find the length of the following curve. 3 2 y 2x from x-0 to x= 1 %3D The length of the curve is

A: Given: The equation of the curve y=2x32 from x=0 to x=1, To find: The length of the given curve.

Q: 4t, 5 for –2 <t < 4. Find the length of the curve 7(t) =

A: We will use the following formula.

Q: Find the length of the curve x = 4 1 from y = 1 to y= 4. 8y + The length of the curve is (Type an…

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Q: Find the length of the curve X = + 4 from y = 1 to y = 3.

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Q: Find the exact length of the curve. x3 4x' У 1 < x < 2

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