Find the exact arc length of the curve y = xi over the interval, x = 1 to x = 125 Arc Length =

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: Find the arc length of the graph of the function over the indicated interval. 3/2 + 1 y = y 6 4 -1 1…

A: y=23x2+132 Differentiating with respect to x, we get dydx=23·32x2+132-1·dx2+1dx=x2+112·2x=2xx2+112

Q: Find the arc length of the graph of the function over the indicated interval. x = (1)/(3)(y2 +…

A: Given x=13y2+232 ,0 ≤ y ≤ 8.

Q: Find the arc length of the curve y = x² from x = 0 to x = 1.

A: Given: y=x2, x∈0,1 We know that for any given curvey=fx on intervala,b, arc lengthL is given by…

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

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Q: Find the arc length of f(x) = (1+2²) from x = 0 to x = 2. Simplify your

A: Given :fx=231+x232x from 0 to 2

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

A: Arc length of the curve

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

A:

Q: Find the arc length function for the curve y = sin(x) + /1 - x2 with starting point (0, 1). s(x) =

A: To find the are length,  we will use the formula of are length (S) .

Q: Find the exact arc length of the curve over the stated interval. y = 7x2/3, from x = 1 to x = 8…

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Q: Find the Arc Length. y=sin(x), [0,π]

A: Given: y=sinx, x∈0,π To Find: Arc length Concept: Arc length of  f on interval a, b is:L=∫ab1+f'x2dx

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

A: The expression for the arc length of the curve is: L=∫x1x21+dydx2dx   Given; y=8x23x1=1 & x2=8

Q: Find the arc length of the curve y=ln (secx) from x=0 to x=(pi )/(3)

A: Use formula

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

A:

Q: Find the exact arc length of the curve over the stated interval. y = 9x³/25, from x = 0 to x = 1…

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Q: Find the exact arc length of the curve over the stated interval. y = 9x/2 - 4, from a = 0 to x = 1…

A: y=9x32-4To find the arc length from x=0 to x=1

Q: calculate the arc length over the given interval y = 3x + 1, [0, 3]

A: To find the arc length of the below function in the interval [0, 3]

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

A: Given, 48xy= y⁴+192 x= (y⁴/48y) + (192/48y) x= (1/48)y³ +(4/y)

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 arc length function for the curve y=  sin inverse x  + sqrt ( 1 - x sq. ) with starting…

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

A: This question is based on application of integration.

Q: Find the arc length of the graph of the function over the indicated interval. x2 3/2 + 1 y = y 4 1 3…

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

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Q: Find the arc length of the graph of the function over the indicated interval.

A: Differentiating with respect to x, we get

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

A: The length of the curve x=f(y) in the given range y=a to y=b is given by L=∫ab1+dxdy2 dy The given…

Q: Find the exact arc length of the curve over the stated interval. 1 1 マシ -2, from y 1 to y = 2 NOTE:…

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

A: Here we have to find the arc length of the curve y=7x32-2 from x=0 to x=1

Q: Determine the exact arc length of the curve y 3/2 for r = 0 to x = 8. %3D L =

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Q: Find the length of the arc of the curve y = ln x over the interval: 1, 7| . Round the answer to four…

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Q: Find the exact arc length of the curve over the stated interval. y = 9x3/2 – 4, from x = 0 to x = 1…

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Q: Find  the Arc length of the graph of y=Ln(cosx) from x=0 to x=π/4

A:

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

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Q: Find the exact arc length of the curve over the stated interval. 1 x = 12 1 from y = 1 to y = 3…

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Q: 3 x =-2+ Vt, y = 21*, 1St<25 1St <25

A: Given: x=-2+t, y=2t34 and 1≤t≤25 x=-2+tdxdt=12t y=2t34dydt=32t1/4

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

A:

Q: Given x = y² + y + 1 from 0 ≤ y ≤ 2

A: To find the arclength of the following curve

Q: Find the arc length of the curve y = ln x from x = 1 to x = 2.

A: Given: y=ln x

Q: Find the exact arc length of the curve x = (² + 2)¯ from y = 1 to y = 5.

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Q: 3. What is the arc length of y=e* from x= 1 to x=5? Draw the curve

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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 =

A:

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: Find the exact arc length of the curve x = 3 0² +2) from y = 2 to y = 6. -

A: The arc length L of the curve x=13y2+232 from y=2 , y=6 is given by,                        L=∫26…

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

A: As we know that; The expression for the arc length of the curve is; L=∫x1x21+dydx2dx From the given…

Q: Find the arc length of the curve on the given interval x (0) = 0³, y (0) = 0² ; 0 ≤ 0 ≤ 2

A:

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

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Q: Find the arc length of the curve defined by y = In x over the interval 1sxse.

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

A:

Q: Find the exact arc length of the curve over the stated interval. y = 7x3/2 – 3, from x = 0 to x = 1…

A: Given curve is y=7x3/2-3 ,[0,1]

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

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.