The arc length of the portion of the curve y = e* with 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…

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.

A:

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 by partitioning the x-axis. 9y2 = 4x3, from x = 0 to x = 7; y ≥ 0

A: we have to find the arc length of the graph by partitioning the x-axis 9y2 = 4x3, from x = 0 to x…

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: Find the arc length function for the graph of ƒ(x) = 2x^(3/2) using (0, 0) as the starting point.…

A: Given:

Q: Approximate the arc length of the curve y=1/4x4 over the interval [1,2] using the trapezoidal rule…

A:

Q: Find the length of arc XY

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Q: Find the arc length of f(x) = In(cos x) on- %3D 4

A:

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

A:

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

A: Use formula

Q: Find the length of the arc of the curve y = In x over the interval: [1, 5. Round the answer to four…

A:

Q: The arc length function of the curve y = 2 In x taking the point Po(1, –) 4 as a starting point is

A: see 2nd step

Q: Find the arc length of the following curve on the given interval. y = 3x +7 on [-3, 1]

A: We know that the arc length of a curve y=f(x) on an interval [a, b] is given by L = ∫ab1+dydx2 dx

Q: 2 Find the arc length for y = 3x3 on [1, 8]

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

A:

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: Express the arc length of the curve y = x4 between x = 2 and x = 6 as an integral (but do not…

A:

Q: Use the Trapezium Rule with four strips to estimate the value of: dz. (In z)² Give your answer…

A: Use the formula of the Trapezium Rule to solve the integral. This rule is used to solve the integral…

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

A:

Q: Find the area of the loop of the curve y2=x3 (1-x)6. Show complete solution of points of…

A:

Q: Find the arc length of the catenary y = cosh x between x = 0and x = ln 2.

A: Given y=cosh(x)

Q: 1. f (x) = cosh x on [0, 1] %3|

A:

Q: Find the arc length of the curve y= 7x+4 On the interval 3

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

A:

Q: 8. Find the arc length of y3 + y = x² + 6x on the interval [-5, –1].

A: Given equation of the curve is y3+y=x2+6x                     (i) To find the arc length in the…

Q: 2. Find the arc length of (x+5 y= over the closed interval [-1,4] .

A: Given curve is

Q: Find the exact length of the curve. y = 6 + cosh(3x), 0s x 8 중이nh(3) sinh(3)

A:

Q: Use Simpson's rule with 2n = 10 subintervals to approximate the length of the curve. y = 6cosx, -,…

A: Here we need to take h = b-a2n = π2--π210 = π10 y = 6cos(x)

Q: Find the arc length of the curve y = log(1/cosx) from x = (/4) tox= (/3)

A:

Q: 3. Find the length of arc of the curve y = ln(secx) from x = 0 to x = 4

A:

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 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: Set up an integral to find the arc length of the curve defined by  x = tany  on the intergral 0 ≤ y…

A:

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 y= x2/8 - ln(x) from x=1 to x=4

A: We find dy/dx of the given function.

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

A:

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A:

Q: 20 The arc length of the curve y = In(1-x²) for 0 sxs is 29 400 + 841 49 + In 34 + In 15 20 29 20 49…

A: The arc length of the curve y = In(1-x2) for 0≤x≤20/29 To select correct option

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 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 graph of x = 1 8y4 + 1 4y2 over the interval [1, 2].

A:

Q: The definite integral that can be used to find the arc length of the curve y =x-2 on the interval…

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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: Find the length of the arc of the curve y = (1 + x²) fron the point where x = 0 to the point where x…

A:

Q: find the arc length of the curve (1/36)x^6+(3/8)x^−4 from x=1 to x=4 Integral? Arc Length?

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Q: find the length of the arc of the curve from point k(8,8) to m( 1,5) X^2/3 -y = -4

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.