1. Find the exact arc length of the curve 24.xy = y* + 48 %3D from y = 2 to Y = 4.

Q: Find the exact arc length of the curve over the stated interval. y = 7x/2 – 5, from x = 0 to x = 1 -…

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Q: 1. Find the arc length of the curve y = 31, 0<a<3.

A: The given arc is y=23x32, 0≤x≤3

Q: a)Find the exact arc length of the curve 24xy = y^4 + 84 from y = 2 to y = 4

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Q: Calculate the arc length of y = 8x + 1 over the interval (0, 10].

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Q: <ys 2 2

A: We have to solve given problem:

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Q: calculate the arc length over the given interval y = 14x2 − 1/2 ln x, [1, 2e]

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Q: find the arc length of the curve y=In(sec x) from x=0 to x=pi/3

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Q: Find the arc length function for the curve  y = 2x3/2  with starting point P0(1, 2).

A: Arc length is a distance between two point along the section of a curve.

Q: Find the arc length of the curve below on the given interval. 1 y = + 6. on [1,2] 4 16x

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find the exact arc length of the curve over the stated interval. 24xy = y4 + 48, from y = 2 to y= 4…

A: The expression for the arc length of the curve is: L=∫abdxdy2+1dy Given: 24xy=y4+48a=2, b=4

Q: Consider the curve VT(y – 3)/3. Find the arc length of this curve over the interval 1 < y < 9.

A: Given Data The equation of the curve is x=√y(y-3)/3.   Differentiate the above expression with…

Q: 3 Find the arc length of the curve x -3y from y = 0 to y = 4.

A: The expression for the arc length of the curve is: L=∫ab1+dxdy2dy Given: x=-3y32a=0 &amp; b=4 Now…

Q: I need to solve this question

A: Given curve is Differentiating with respect to y, we get

Q: 2. Find the point on the curve r(1)=(5sint)i-(5cost)j+12tk at a distance 267 units along the curve…

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Q: Find the arc length s of the curve y= x2 on the interval  [0,2]

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

Q: Find the exact arc length of the curve over the stated interval. Y = 8x2/3, from x = 1 to x = 8

A: According to question,Given curve,y = 8x23,from x = 1 to x =8

Q: 3. Find the exact arc length of the curve I = y+}y2 from y = 1 to y = 4.

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Q: 2 4. Find the length of arc of the curve x3 + y3 = 1 in the first quadrant from the point where x =…

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Q: Find the arc length function for the curve y = 2x3/2 with starting point P,(9, 54). s(x)

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Q: 3. Find the arc length of the curve 24xy = y* + 48 from y=2 to y=4

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Q: 3/ 10. Find the arc length of the curve y = x/2 +4 from x = 4to x = 9.

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Q: Find the exact arc length of the curve over the stated interval. y = 5x2/3, from x = 1 to x = 8

A: Consider a curve f(x) defined over the interval a,b. Then the arc length of f(x) over f(x) is given…

Q: 4 Find the arc length of the curve the interval 2≤+ ≤ 5 3 given parametrically by x= 3 + ² y = + ²,²…

A: To find out the arc length of the curve.

Q: What is the arc length of the curve x = (1/2)y2 - (1/4)ln y from y = 1 to y = e?

A: Here, we have given x is a function of y. So, we will use the following formula for finding the arc…

Q: 1. Find the arc length of the curve x = r=(y²+ 2)2 from y-0 to y-1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 2. Determine the arc length of the given curves a) y =+ 1<y< 2 3

A: s=∫y1y2 1+x'2 dyy'=3y23-14y2y'=y2-14y2s=∫121+y2-14y22dys=∫121+y4+116y4-2×y×14y dys=∫12y4+116y4+12…

Q: 3. Find the arc length of the curve 24xy y+ 48 from y-2 to y-4 1 to from

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Q: 7. Find the arc length of the following plane curve: x = e' (sint + cos t), y = e' (cost – sin t),…

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Q: Find the arc length of the following curve on the given interval. y = 1/2(e^x+e^-x) [ln2,…

A: Find  the  arc  length  of  the following  curve  on  the given interval. y = 1/2(e^x+e^-x) [ln2,…

Q: 1 for the interval [1,3]. 8x2 Find the arc length L of the curve y

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Q: 2 4. Find the length of arc of the curve x3 + y = 1 in the first quadrant from the point where x =…

A: Let's find arc length of given curve in first quadrant.

Q: Find the exact arc length of the curve over the stated interval. 48xy = y4 + 192, from y = 3 to y =…

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Q: Find the arc length of the parabola y² = x from (0,0) to (1, 1). (Note that y² = x is not the same…

A: Length

Q: 4. Find the arc length of the curve x=y+y from y-1 to y-4

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Q: Find the exact arc length of the curve over the interval from y = 1 to y = 4 1 1 + -2 x =

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Q: Find the exact arc length of the curve over the stated interval.  x = 1/8 y^4 + 1/4 y^-2, from y =…

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

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Q: Show that the arc length of the graph of y = sin x on the interval [0, 2π] is equal to the…

A: Given, Equation of Ellipse is x2+2y2=2 Now divide the equation of ellipse by "2" we get,…

Q: b) y = ln (cos x) 0 <x<- 3

A: Given: y=ln(cosx) in the interval 0≤x≤π3

Q: Find the exact arc length of the curve over the stated interval. y = 5x3/2 – 2, from x = 0 to x = 1…

A: This is geometry problem

Q: Find the arc length of the curve y = ln(cos(x)) from x = 0 to x = 4

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Q: Find the arc length of the curve y between <x< , with yY given as y = 2 In (sin (2x))

A: y=12lnsin2x  where  π6≤x≤π4 On differentiating the given curve with respect to 'x' dydx=12…

Q: 3. Find the arc length of the curve æ = 5 + y3/2 between y = 0 and y = 2.

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Q: calculate the arc length over the given interval y = x3/2, [1, 2]

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Q: 4. Find the arc length of the curve x= - y* + ÷y¯² from y=1 to y=4

A: We have to find the arc length from the given condition

Q: Find the exact arc length of the curve over the stated interval. 1 1 +y2, from y = 1 to y = 4 x = 4°

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Q: Find the arc length of the curve y = In(cos x),0 < x <. 3

A: Arc length of a curve y=f(x) for a≤x≤b is given by L=∫ab1+f'(x)2 dx

Q: 1 Find the arc length of the curve y = + 4 from (0, 4) to (1, ).

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Q: Find the exact arc length of the curve y = (x^6+8)/16x^2 from x = 2 to x = 3

A: We first write y as two terms and then find dy/dx using the power rule