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

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

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

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Q: calculate the length of the curve y=2cosh (x/2) for 0 < x < 2

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Q: Find the length of the curve: r = 5cos 0 1 2 3 4

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Q: A wire has the shape of the curve y = 3x3/2 Find the length of the wire between x = 0 and x = 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 given by 2t2 t3 (0 <t < 5). x = Length = ||

A: Solve for the length of curve

Q: Find the exact length of the curve over the given interval. y? = 4(x + 4)*, along 0 0.

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

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: 4/2 -1 for [0, 2]. Q.7 Find the length of the curve y = 3

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

Q: y Find the length of the curve x = on 3<y<5. + 18 2y 3.

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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 exact length of the curve y2 = 16(x + 1)3,   0 ≤ x ≤ 3,  y > 0

A: See the attachment

Q: Find the exact lengthy curve x=y4/4 + 1/8y2, where 1 is less than or equal too y is less then or…

A: The formula is L = ∫ab 1 + dxdy2dy

Q: Find the length of the curve. y=1/6(x^2+4)^3/2, 0 less than or equal to x less than or equal to 2

A: Find dy/dx of the given function

Q: 2 =(x² - 1)³/²,1 ≤ 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: 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: Q4: Q4:A/ Find the length of an are of the curve y = (1/6) x + (1/2) x from x = 1 to x= 2.

A: The arc length of the curve y=fx for x=a to x=b  is: L=∫abf'x2+1dx Now, we have y=16x3+12x-1  for…

Q: Find the length of the curve.  y = (9 - x^2/3)^3/2 from x = 1 to x = 27

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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: y= In x

A: Given function is y=x/ln(x)

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. y= (16-x2/3)3/2 from x=1 to x=64

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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: Use Simpson’s Rule with n  =6  to estimate the length of the curve x  =t - et -6&lt;t&lt;6

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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. 1 + x?)3/2, 0sxs2 y

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

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Q: Compute the length of the curve r(t) = (-4t, 5t — 3, -2t + 3) over the interval 0 ≤ t ≤9 L =

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

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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: 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 = 7 + 6t2,    y = 2 + 4t3,    0 ≤ t ≤ 3

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

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

A: