The arc length of the curve x = 2 sin-1, y= In(1-). . 0sis; osis In(4)-In(3) In(4) In(3)-In(2) In(3)

Q: Find the arc length of the graph by partitioning the x-axis.   9y2 = 4(1+x2)3 , from x=0 to x=4√2…

A: Given: 9y2=4(1+x2)3  from x=0 to x=4sqrt(2)

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 the graph of the function over the indicated interval. y -m (anon).

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Q: 1. Find the length of arc of the curve y = () from the point where x = to the point where x = 2.

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Q: Find the length of the arc of the curve  where y=x^2+1 from the point  where y=1 to the point…

A: Formula to find the required arc length. Formula to find the arc length for the limits of y is…

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

A:

Q: Let A be a curve defined by the equations 3 x = 3t2 – 4 and y = sin (-nt). Set up (do not evaluate)…

A: Here, the given parametric curve A is: x=3t2-4, y=sin-32πt Now, to find the arc length of A from…

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: Find the length of arc from (0,0) to (4,4) of the curve x = 2/y.

A: given curve     x=2y            we have to   find the arch length fro (0,0)  to  (4,4)now  x=2y ⇒…

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

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Q: Find the length of the curve y = arcsin e* fromx = 0 to x = In?. Show complete solution of points of…

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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 graph of y = ln(cos x) from x = 0 to x =π/ 3 ?

A: y=ln(cos x) from x=0 to x=π3

Q: 1. Find the area under one arch of the curve y = cos- :cosex.

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Q: Find the length of arc of the curve 6xy = x* + 3, from the point where x = 1 to the point where x =…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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 of y=In tanh 2 2<x54 Select one: sinh 2 In sinh 4 O None sinh 4 O In sinh 2. 4…

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Q: Calculate the arc length of y = x² – In(x) over the interval [1, 6e]. (Use decimal notation. Give…

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Q: Find the arc length of the catenary y = coshx between x = 0 and x = ln4.

A: Given: y = coshx between x = 0 and x = ln4.

Q: Find the arc length of the graph of the function y = ln(1 − x2 ) on the interval 0 ≤ x ≤ 1/2

A: Given:            y= ln 1-x2,  0≤x≤12    Formula to be used: Let y=f(x) be differentiable function…

Q: Find the arc length of the graph of the function over the indicated interval. x= =cy² + 2)3/2, 0sys2

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Q: Find the length of the arc of the curve y=x+3 from the point where y=2 to the point where y=x^2+1…

A: y=x+3  ⇒x=y-3⇒dx=dy⇒dxdy=1 The formula for the length of the arc from the point y=2 to y=x2+1…

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 length of the arc of the curve y = In x over the interval: [1, 9| . Round the answer to…

A: This is a question related to derivative of the function. Based on the general formula we will find…

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

A:

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: Calculate the arc length of y = In (cos(16x)) over the interval 0. . (Use symbolic notation and…

A: Given: y=116ln cos16x over the interval 0,π48 To Find: Arc length

Q: Find the arc length of the curve on the interval [0, 2n]. Hypocycloid perimeter: x = a (cos(6)), y =…

A: Given, Since, The arc length of the curve: The arc length of the curve =  6a

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

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Q: Discuss the Arc length given that X (0,4) = (CoseSino, SinOSino, Cos4) of the curve 0 = logSin( –…

A: Given: Given that, X→θ,φ=cosθsinφ,sinθsinφ,cosφ of the curve θ=logsinπ2-t , φ=π2-t,  0≤t≤π2

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

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Q: Find the arc length of the graph of the function y=ln(ex+1ex−1)y=ln(ex+1ex−1) over the interval [[…

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

A: The length of the arc of the given graph can be calculated by the formula L=∫ab1+dydx2dx The given…

Q: Find the arc length of the graph of the function over the interval. y = In(sin z);

A: Given,          y=lnsinx ; π4,3π4

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

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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 segment of curve y = In(cos x) for 0< x<"/3. DO NOT integrate in your…

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

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

A: Here we need to find arc length of y from x=0 to x=1

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

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Q: Calculate the arc length of y = In (cos(4x)) over the interval 0, . (Use symbolic notation and…

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Q: what  is the arc length of the parametric curve x=cos2 θ y=cosθ and  θ  is bounded between 0 and π/2

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Q: A curve is drawn on a sphere of radius "a' and the principal normal at a point P makes an angle 0…

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

A:

Q: Find the arc length of the graph of the function f(x) = In(cos(x)) over the interval : 6' 3

A: Given, fx=logcosx,       π6≤x≤π3 The arc length formula of a curve fx between x=a, and x=b is given…

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: Give an example of finding an arc lenght by integral.

A: According to the given information, it is required to given an example of finding an arc length by…

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.