Find the arc length of y^3+y=x^2+6x on the interval [-5,-1]. Using the same arc, determine the surface of revolution if it is revolved about y=-3.

Q: Calculate the arc length of y = ((72x)/2 – (72x)2) over the interval [2,8].

A: For Y=F(x) , a≤x≤blength of the curve = ∫ab1+dydx2 , dx                        or                arc…

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Q: Find the arc length of y=sqrt(4-x^2) -2<=x<=2

A: The equation of the curve is given by y = 4-x2 : -2≤x≤2 To evaluate : The arc length.

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Q: Find the arc length of the portion of the curve y = 6x with 0 <x<1. Round your answer to four…

A: First I have written the formula for arclength of a curve on a closed interval, just use them for…

Q: Find the arc length of y^3 + y = x^2 + 6x on the interval [−5, −1]

A: “Since you have asked multiple questions, we will solve the first question for you(Only finding arc…

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Q: Find the arc length of y3 + y = x2 + 6x on the interval [ -5, -1 ]. Also, determine the surface of…

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Q: Find the arc length of the curvex (y² + 2)3/2 from y-0 to y=1

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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Q: Find the arc length of the graph of y^2=4x^3, between points (0, 0) and (2, 4sqrt(2)).

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Q: Find the area of the surface formed by revolving the graph y=x on the interval [0,3] about x-axis.

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Q: Find the arc length of y^3 +y= x^2+6x on the interval [-5, -1]

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Q: Find the arc length of the graph of y = -- 2 over (0,4].

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Q: Find the arc length of y³ + y = x² + 6x on the interval [-5,–1].

A: The arc length, L of a function, x=f(y) in the interval [a,b] is calculated using the formula below.…

Q: Find the length of arc of the curve y =÷(x² + 2)3/2 from the point where x = 0 to the point where x…

A: Consider the given curve: fx=13x2+232Interval  0≤x≤3Differentiate w.r.t.…

Q: Find the length of the curve y = = cosh(x), 0 < x < 1. Arc length =

A: Arc length of a curve y=f(x) on [a,b] is given by, L=∫ab1+y'2dx ddxsinh(x)=cosh(x)…

Q: Find the arc length of y³+y=x²+6x on the interval [-5,-1].

A: Solution:   Given that,      y3+y=x2+6x,  interval -5, -1         Then, differentiating with…

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Q: 4 „3/2 Y = 3 0 < x < 2. + 2,

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Q: 2. Reparametrize R using the arc length as parameter from the point P(-1, √37,5).

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Q: Determine the surface of revolution if the arc y^3 + y = x^2 + 6x on the interval [−5, −1] is…

A: The curve will appear like this

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Q: Find the arc length of y=((x+4)/2)4+1/2(x+4)2 over [1,4]

A: Given data:     The given expression is: y=((x+4)/2)4+1/2(x+4)2. The given limits is: [a, b]=[1, 4].…

Q: Explain how to find the arc length of a function that is a smooth curve on the interval [a, b].

A: Let f(x) be a smooth curve on the interval [a, b]  Smooth curve has continuous derivative. As [a, b]…

Q: Find the exact arc length of the curve over the stated interval. = 3x3/2 – 2, from x = 0 to x = 1…

A: We have to find the arc length of the curve over the stated interval.…

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Q: Find the arc length of the graph by partitioning the x-axis. y=1/3 (x2 +2)3/2 , from  x = 3 to x =…

A: Given: The function y=13x2+232  fromx=3 to x=4

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Q: Find arc length for the curve (y+1)2=4x3 x=0 ,x=1

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Q: Calculate Sc 2xyds, where C is the arc of x²+²=4 from the point (2,0) to the point (1,√3)

A: We know that ∫C f(x,y) ds=∫ab f( x(t), y(t) ) dxdt2+dydt2 dt

Q: Find the arc length of the portion of the curve y = 6x with 0<x<1.

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Q: Find the Surface avea Gevereatel by vevoluing the curve y-2r coso about te x-axis X-Sine

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Q: Find the length of arc of the curve y = - In x from x = 3 to x = 9. 9

A: f(x)=x29-lnx on the interval x=3 to x=9

Q: y = Vx for 0<x < 3.

A: the given function is: y=x for 0≤x≤3 we have to determine the length of the curve.   as we know that…

Q: Find the arc length of the graph of x = 1 8y4 + 1 4y2 over the interval [1, 2].

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Q: Find the exact length of the curve x3 y = 6. 1 <x < 1. 2x Arc length

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

Q: The arc length of the portion of the curve y = e* with 3 <x<5 is None sz15.54 sz67937.06 sz128.35

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