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

Q: Find the arc length of the catenary y = coshx between x 0 and x = In4.

A: we'll allow providing one solution at a time. Please submit the rest questions separately.   Given:…

Q: Find the arc length of y = 4x – 5 on 0 < x < 1.

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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: What is the arc length of the curve y = (2/3)(x-4)3/2 from the point where x = 4 to the point where…

A: Given: y=23(x-4)32

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

A: Using the power rule we find the derivative of y

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

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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.

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: calculate the arc length over the given interval. y = 4x − 2, [−2, 2]

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Q: Find the arc length of the graph of y == 6 2x on the interval 2 L2

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Q: Find the arc length of the graph of the function y=ln(cosx)y=ln(cosx) over the interval…

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Q: what is the arc lenght of  the curve y=ln(sinx) between th points x=pi/3 x = 2pi/3 ?

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Q: Calculate the arc length of x = 6t2,y = 6t – 2t³ from 0 to 4

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Q: Find the arc length of the curve x = -2y³/2 from y = 0 to y = 10. Length =

A: The given curve is x=-2y32 from y=0 to y=10. Find the arc length. As we know the formula of arc…

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 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: Calculate the length of arc of y = 2x/² for 0≤x≤1

A:

Q: Find the arc length of the curve y=sqrt (4-x^2), from 0≤x≤2.

A: Solve

Q: Find the arc length of the curve x -3y3/2 from y = 0 to y = 10. Length

A: Integration √1+(f'(y)) 2dy

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: Find the Arc Length of y= 3ln(x) - ((x2)/24)) on [1,6]

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

A:

Q: Find the arc length of the curve y between <x <4, with y given as y = In (sin (2x))

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Q: Find the arc length of the curve 2x 3 y3 over the interval from y=0 to y=1

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Q: Calculate the arc length of y = 9x + 1 as x varies from 0 to 5. S -

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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 function for the curve y = 2x3/2 starting at the point (1,2). %3D

A:

Q: Find the arc length of v³ + v = x² + 6x on the interval [-5,–1).

A: As per bartleby guidelines I can solve only one question.

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

A:

Q: Find the arc length of the curve x = a cos3θ, y=a sin3θ in [0,2π].

A: The arc length formula for the parametric curve on the interval [a,b] is given by: Hence compute…

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…

Q: Find the arc length of y = ²√x(3-x) for 0 ≤ x ≤ 3. - Express your answer in decimal form rounded…

A: Given problem:- Find the arc length of y = (1/3)√x(3-x) for 0 ≤ x ≤ 3.

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

A:

Q: Use Simpson's Rule with the ARC length of the Curve. Sinx= Y n=10 to extimate nz1o

A: y/x = sinx Hence, y = xsinx

Q: Find the exact arclength of y = 2x3 for 0≤ x ≤ 2:

A:

Q: Calculate the arc length of y = G(18x)3/2 – (18x)2) over the interval [2, 8]. (Give your answer to…

A:

Q: Find the arc length of y = 3x + 5 on 0 < x < 4

A: Consider the given curve, y=3 x2+5 ,     0≤x≤4

Q: 2. Find the arc length of the curve y = 16 from x=2 to x-3 2x

A: Given y=x416+12x2, x=2 to x=3

Q: Find the arc length of the segment of curve y = In(cos x) for 0< x<"/3. DO NOT integrate in your…

A:

Q: Find the arc length of the curve y :In(cos x) from x = 0 to x = t/3. Length:

A:

Q: Find the arc length of the curve x = –3y3/2 from y = 0 to y = 10. Length =

A: To find the arc-length if the curve x=-3y32 from y=0 to y=10 Now, the formula for the arc-length is:…

Q: Find the arc length from x=0 to x=100 of the catenary: 150cosh(x/150)

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Q: Find the arc length for y = In(sinx) on [4' 4

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Q: -Find the arc length of the curve: 3 y= x² where 1<x<4

A: Use the formula for the Arc length of a function in the given interval.

Q: 3. Find the arc length of y = 3x3/2 on the interval 1<x< 3 %3D

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 y = xi over the interval, x = 1 to x = 125 Arc Length =

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Q: Calculate the arc :length of the curve y = In(2x + 1) over the interval

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Q: Find the arc length of y 3x3/2 for 2 < x < 3.

A:

Q: Find the arc length of the curve y = t2 - 1 dt for 4 sxs6

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.