Find the length of the curve 24xy = y + 48, Select one: 85/85-8 243 80/10-13/T3 27 O None of these

Q: Find the exact length of the curve. x = et - 4t, y = 8et/2, 0≤t≤2

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Q: Calculate the length of the curve č: [0; 1] → Rgiven by ( 글2 + 2t st2 + 2t + 5 (t):: HIN

A: The length of the given curve is given by using the formula of arc length in parametric equation as…

Q: Find the length of the curve. Vzti + e'j + e-tk, 0 <ts 3

A: Given the curve

Q: Find the curve length 3 y = 1+ 6x7,0 <x<1

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Q: Find the length of the curve. r(t) = ( 8t, t², ), 0 <t< 1 %3D 12

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Q: Find the length of the curve 4t2 -1 dt, y = %3D 1<x<3 8. 15 104 3 3.

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Q: Find the exact length of the curve. x = et – t, y = 4et/2, 0st < 5

A: Find the length of curve:

Q: Find the length of the curve y =/2 from z = 0 to z = 3. %3D

A: Integration of (1+(f'(x))2)1/2 form 0 to.3

Q: Find the arclength of the curve r(t) = (6t2, 2v6 t, In t) , for 1SI58. L =

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Q: Find a parametrization for the curve described below. the line segment with endpoints (- 2,4) and (-…

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Q: Find the length of the curve. x = 4t, y =- 3/2,0st s9 0 st 122 3

A: Arc length of the given curve

Q: Find the exact length of the curve. (Show all work separately and submit on HuskyCT immediately…

A: Given

Q: Find the length of the curve given by ř () = (6t, 12/T, 3Int) for 1<tse. O 8e-4 O 2e-1 O 4e - 2 O…

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Q: the detined b is Constant. Curiature a(t) =| 1 Cost, 1 sint, o of the curve d:laa)tR? where Find

A: We are given : α(t)=1rcos t,1rsin t,0 ⇒α'(t)=-1rsin t,1rcos t,0 Now, the Unit tangent Vector is :…

Q: set up intergral for the length an of the Curve 3T y%3DZ0* sin cx), 04XE

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Q: For a χ2-curve with 19 degrees of freedom, find the χ2-value that has area a. 0.025 to its right. b.…

A: a) Degrees of freedom is 19 The chi-square value that has area 0.025 to its right is given below:…

Q: Set up an intergral for the length of the curve, 04X y%3DZE* sin cx), O4 XE

A: Explanation of the answer is as follows

Q: Find the length of the curve. y = 2 – 4x, 1<a< 3 O 54 3V17 O 17 O 2y17

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Q: Find the arclength of the curve x = 3t + 5, y = 4t + 7 with 2 < t < 5.

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Q: Find the arclength of the curve z = 8t - 9, y= 15t - 1 with 6 <t<9.

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Q: Find the length of the curve. (2t + 1)3/2 2.y = Osts 16 x= 3

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Q: 2tź from t = 0 tot = 1. 3 t°, y = 9. Find the length of the curve defined by x = %3D %|

A: Length ‘L’ for the curves in parametric form can be given by the formula mentioned below as. Then…

Q: Find the length of the curve given by x(t) = 1 + 3t² ,y(t) = 4 + 2t³, 0 <t < 1.

A: xt=1+3t2yt=4+2t3 Differentiate the above equation w.r.t."t"…

Q: Find the length of the curve. r(t) = 4ti + 8t3/2j + 9t2 k, 0st<1 %3D

A: Please see the answer below

Q: Find the length of the curve.y=x3+14x,1≤x≤2. Round the approximation to 4 decimal places.

A: The length of the arc from point a to b is given by:

Q: Explain the steps required to find the length of a curve x = g1y2 between y = c and y = d.

A: It is given that x=gx for c≤y≤d.

Q: y = e*, 0<z<1.

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Q: Find the length of the curve 24xy = y + 48, 2 < y < 4 Select one: 17 85/85-8 243 V5 80V10-13 13 27 O…

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Q: Compute the length of the curve given parametrically by x=1/3t^3 and y=1/2t^2 for 0 less or equal to…

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Q: Find the exact length of the curve. 1 y = 3+ cosh 2x, 0<1<1 2

A: we need to evaluate the Length of curve where  0 ≤ x ≤ 1

Q: Find the length of the curve. 2,3/2,0 st s9 x= 4t, y 3 61 242 2 3 O 2. seçenek 4. seçenek 122 61 3 3…

A: We can find the arc length as below

Q: C3. Find the length of the of the curve x= 1 from y = 1 to y = 2 %3D 4 8y?

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Q: Find the angle between the curve 2y=e-x/2 and y-axis

A: we will see in next step

Q: Find the point On the curve R(1) = 5sint i+5cost j+12t at adistance (267) units along the curve from…

A: R(t)= 5sint i + 5 cost j + 12t k V=dR/dt =5sint i + 5 cost j + 12t k V= |v|= [(5cost)2 + (-5sint)2 +…

Q: Find the exact length of the curve. 36y2 = (x2 – 4)3, 4 < x < 9, y 2 0 %3D (arctanl 51) V2 -81 8.…

A: We have given

Q: Find the length of the curve. x = (v - 1) 3/2 from y = 16 to y = 25 O 4 61 O IK

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Q: Find the exact length of the curve. 1 Vy (v - 3), 4 < y< 16 3 X =

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Q: What is the length of the curve I= cost +tsint, y=sint - tcost, (0 <t< 2n) ?

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Q: Find the length of the curve. x = 4t, y =t3/2,0 st s9 122 242 3 3 O 3. seçenek 4. seçenek 61 61 3 2

A: Explanation of the answer is as follows

Q: Find the speed of the curve 7 (t) = (5t2 + + 6, 7t + 1, t³ + 8t) at t = 4 Бpeed

A: Magnitude of the velocity is speed

Q: Find the length of the curve r(t) (1,t²,), 0sts1 %3D «3 Ost<1

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Q: What is the length of the curve I=1+32, y = 4+2t, (0 <t<1) ?

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Q: Find the exact length of the curve (a) x = 1+ 3t2, y = 4+ 2t³, 0<t<1 (b) x = e' cost, y = e' sin t,…

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

Q: Find the length of the curve 7(t) = (9t2, In(t), 6t) for 1 < t < 3

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Q: Find the arclength of the curve a = 7t – 1, y = 24t + 3 with 1 < t < 6.

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Q: s to the curve y = x* at the %3D

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Q: Find the arclength of the curve x = 8t – 8, y = 15t +7 with 1 < t< 6.

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Q: Determine the length of the curve r(t) = 4sin(3t)i + 3tj + 4cos(3t)k, 0 <t < -. 2 Give your answer…

A: Arclegth of the position vector

Q: Find the length of the curve. 9. r(t) = i-j+ 6t k, 1sts3 %3D 74 3 88 3 O 16 3 O 70 3 92 3

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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.