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

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 (s) of the curve r(t) = (cos(3t), 5t, sin(3t)) for 1 <t < 5

A: r(t)⇀={cos(3t),5t,sin(3t)}Now we can evaluate that x(t)=cos(3t)y(t)=5tz(t)=sin(3t) We know that the…

Q: Calculate the arc length of y=1/8ln(cos(8x)) over the interval (0, pi/24)

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Q: Find the exact arc length of the curve over the stated interval. y=x²³ from x=1 to x=8

A: Please see the below picture for detailed solution.

Q: a)Find the arc length of f(x)= In(1+x°), Osx<5

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Q: What does the arc length formula give for the length of the line y = x between x = 0 and x = a,…

A: line y = x between x = 0 and x = a

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: Find the arc length of the curve y = ln(x) for 1 <I<e. ||

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

A: Use formula

Q: Express the arc length of the curve y = tan x for O &lt; x &lt; ~ as anintegral (but do not…

A: Given that, Curve, y=tanx 0&lt;x&lt;∞

Q: Calculate the arc length of the graph of f(x) over the interval [0,1].

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Q: Find the arc length of y = V1 – x² from x = 0 to x

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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 graph of y==x² -- In(x) where xe[1, 2e].

A: Given : f(x)=14x2−12lnx    on  x∈[1,2e]

Q: Find the total arc length of the cardioid r = 1 + cosθ.

A: Given- r=1+cosθ. To Find- The total arc length of the cardioid . Identity Used- Total arc length is…

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 f (x) = In|sec x| over [a/6, x/3]. Round your answer to two decimal places.

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Q: 3. Find the arc length of the curve 24xy = y* + 48 from y=2 to y=4

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Q: Find the arc length of the curve below on the given interval by integrating with respect to x. 1.…

A: Given  the given curve is y=x33+14x and the given interval is 1,4.

Q: Find the arc length of the curve F(t) = (cos" (t),0, sin (t)) from t 0 to t

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Q: Find the arc length of the following curve on the given interva x- 3r°, y=, 0sts v8 Ostsv8

A: Find your answer below

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 arc length of y = (x+ 6) + (x + 6)- for 1 < x < 2. (Give your answer to three decimal…

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Q: Calculate the arc length of the curve y over the given interval. y = In(cos x), 0 < x <T/4,

A: Over the interval a ≤ x ≤ b.

Q: Find the arc length of the curve y In(cosa) from = 0 to 2/4.

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Q: x = 4 sint, y= In(1+t), (-2<t <1).

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Q: Approximate the arc length to three decimal places given: y = In(cos x) , [0,÷]

A: Given curve is Differentiating with respect to x, we get

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 y = In(cosx) from x = 0 to x = 4 O A. In(v2+ 1) O B. In(v2) O C.…

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: Find the arc length of the graph of y = In(cosx) from x = 0 to x =- 4 O A. In(v2) B. In(2) C. 0,75 O…

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Q: y=[,Vcos 2t dt COS

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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 the curve y=x+7 on the interval [0,3] O153 O 90 O 45 O18

A: Given that y=x+7.

Q: Find the arc length of the cardioid r = 3−3 cos θ.

A: The equation of cardioid is r = 3 – 3cos theta.   The arc length of the cardioid is:

Q: Find the arc length of the graph by partitioning the x-axis.   y= ln(sin x), from x = pi/6 to x=…

A: Let fx be a smooth function over the interval a,b. Then arc length of the portion of the graph fx…

Q: Find the arc length of y = (x + 4)° + (x + 4) for 1 < x < 2. Give your answer to three decimal…

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

A: ANSWER : Length of arc = 6

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

A: Given: y=ln x

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

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Q: The arc length of 元 y=ln(cos x), 0<x<= is 3 the curve

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Q: Find the arc length of cardioid r=1+cos(t)

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Q: Find the arc length of y = e* over [0, 1].

A: We have to find the arc length of y=e^x over[0,1]

Q: Find the arc length of the curve on the interval [0, 27). Hypocycloid perimeter: x - a (cos(0)), y =…

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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: calculate the arc length over the given interval y = x3/2, [1, 2]

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Q: Find the arc length of y = (x +4) + (x + 4)- for 1 < x < 2. (Give your answer to three decimal…

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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°

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Q: Find the arc length of the graph of y = ln(cos x) from x =  0 to x =  /3.

A: We know that, the general formula for Arc length of a curve is given as Arc lengthL=∫x=ax=bdSWhere,…

Q: Find the arc length of the curve Cycloid arch: x = a(θ − sin θ), y = a(1 − cos θ) , on the interval…

A: Cycloid arch: x = a(θ − sin θ), y = a(1 − cos θ)  interval [0, 2 ].

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.