Find the exact length of the curve. y = 5 + 8x/2, 0

Q: Find the exact length of the curve. y = 4 + 2x3/2, 0 < x < 1

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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: . Find the lines that are tangent and normal to the curve at the given point x² + y? = y* - 2x,…

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

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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. y = 3 + 6x³/2, 0≤x≤1

A: Given :y=3+6x3/20≤x≤1

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 point in the first quadrant on the curve y = x + x - l closest to the origin.

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Q: Find the exact length of the curve. x = 7 + 12t, y = 5 + 8t, 0sts 4

A: Given :      x=7+12t2 ,y=5+8t3 ,  0≤t≤4

Q: Find the exact length of the curve. y 1x²-1-In(x), = 4 2 1 ≤ x ≤ 8

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Q: given curve about the x-axis. 1. y = 7x, 0 < x <1

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

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. x = 4 + 9t2, y = 3 + 6t, 0stsi

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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. Ex372, 0sxs 4 y =

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Q: Find the length of the curve with equation x2 (y + 1)3 from the point where æ = 0 to the point where…

A: Since the given curve is  x2=y+13      from point x=0 to x=33. Given curve can be written as x=y+132…

Q: find the length of the remaining part of the y = x³/12 + 1/x curve between the x = l and x = 2 apfog…

A: We have to find the length of the remaining part of the curve y=x312+1x between x=1 and x=2

Q: Find the exact length of the curve. x = e - 9t, y = = 12e2, 0 sts 4

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Q: y = -x³/2,0 < x< 1 3.

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Q: Find the points on the curve y = 14x closest to the point (0, 1). and

A: This question is based on application of Derivative.

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 exact length of the curve.y = 4 + 2x3/2, 0 ≤ x ≤ 1

A: Please see the white board for the formua to calculate the length, L of the curve y = f(x), over the…

Q: 2 =(x² - 1)³/²,1 ≤ x ≤ 3

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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. y = (1 + x2)3/2, 0 < x < 2

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

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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: Find the exact length of the curve. y =x2 - In(x), isxs4 y 1.0966

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Q: Find the length of the following curve. y=4x^3/2 from x=0 to x=5

A: The given curve is y=4x32 from x=0 to x=5. Compute the arc length as follows.

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 exact length of the curve. X = Vу (у — 3), 16 <y S 25

A: First differentiate wrt y

Q: Find the exact length of the curve. 36y =(x+4). 5 5 x s 6, y 20

A: Given: 36y2=(x2-4)3,  5≤x≤6,  y≥0 Arc length of curve y=f(x) on [a, b] can be calculated by…

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=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.y = 1 + 4x3/2, 0 ≤ x ≤ 1

A: Given curve is

Q: Find the exact length of the curve y = (2/3)(x^2-1)^(3/2), where 1 is less than or equal to x which…

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Q: Find the exact length of the curve. x = 4 + 6t?, y = 1 + 4t³, 0sts4

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

A: Given, x=y48+14y2,1≤y≤2

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. 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: 9. What is the slope of the curve at the given point? 5x? + 2xy – y = -3 at (,2)

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

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Q: Find the exact length of the curve. 1 y = 1 < x < 2 4x

A: The given curve,   y=x33+14x, 1≤x≤2

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

A: Explanation of the answer is as follows