Find the arc length of the curve below on the given interval. y= 2x3/2 on [0,9] Which of the following is the length of the curve? 27 O B. [82/3 - 1] Oc. (82/3 - 1] D. [823/2 - 1] OD.

Q: Find the arc length of the curve below on the given interval. for 3sys5 8y

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Q: Find the arc length of the curve r(t) = (4t^2, 2(sqrt4)t, ln t), for the domain of t between 1 and…

A: We have to find Arc length.

Q: Find the arc length of the following curves on the given interval. 1 for 1 8y2" X = + 4 y . 2

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Q: In the given question , find the arc length of the graph of the function over the indicated…

A: Given y=23x32+1 , on interval [0, 1]

Q: Find the arc length of the graph of r(t) = ev2ti eVati + e-v2tj+2tk, 0<t< v2 In 7 NOTE: Enter the…

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Q: Find the exact arc length of the curve over the stated interval. y = 5x²/3, from x = 1 to x = 8…

A: Arc length of the curve

Q: FIND THE ARC LENGTH OF THE FOLLOWING FUNCTIONS. SKETCH THE GRAPHS. y = ln x from x = 1 to x = 2√2

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Q: 3 The arc length of the portion of the curve y=x2 with 0<x<4 is Osz9.0734 OSx 10.1938 s=7.7868 попe

A: We have to find the arc length of the portion of the curve y=x32 with 0≤x≤4.

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 of the following curve on the given interval. x=24t+8, y = 7t+3, 0≤t≤2 The…

A: Given equation of function is  x=24t+8,y=7t+3, 0≤t≤2 The arc length of the given function is…

Q: Find the arc length of the graph of the following function over the interval [2, 3]. x4 f(x) 8 1…

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Q: find are length x=2t² y = 3t²,0 ²t ²√58 [0,√8]

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Q: Find the arc length of the following curve on the given interval. x- 24t+9, y= 10t-7,0sts1 The…

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Q: Find the arc length (s) of the curve r(t) = (est, -2e5t, 3e5t) for 0 ≤ t ≤ In (2) 8=

A: The arc length s of the curve r→t=x(t), y(t), z(t) for a≤t≤b is given by s = ∫abx'(t)2+y'(t)2+z'(t)2…

Q: Find the length of the Arc length= curve r(t) = (71, 5, √¹4²) for -4 ≤ t ≤ 4. 2

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Q: Find the arc length of the graph of r(t) = eV2t¡ + e-V2tj+ 2tk, 0<ts V2 In 7 NOTE: Enter the exact…

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Q: Find the arc length of the curve below on the given interval. y 2x 3/2 on [0,9] Which of the…

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Q: 2 √₁² √√4y² + 4y + 2dy

A:

Q: Find  the  arc length of the following curve on the given interval. y=1/2x^3/2 on [0,60]

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Q: Find the exact arc length of the curve over the stated interval. y = 4x²/3, from x = : 1 to x =…

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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…

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Q: Find the arc length of the curve below on the given interval. 1 y%3= (x +6) 2 on (0.3] 3/2 on [0,3]

A: We find dy/dx using the power rule and chain rule

Q: Find the arc length of the following curve on the given interval. 27 x = 9t°, y = , 0stsV3 2 The arc…

A: We have to find length

Q: Find the arc length of the following curve on the given interval. x= 12t³, y=18t², 0sts √3 The arc…

A:

Q: Find the arclength of the curve below over the interval -1<t<1

A: Here we have to find the arc length of the given curve.

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: 9. Find the arc length of the curve 24xy = x* + 48 from x = 2 to x 4.

A:

Q: Find the arc length of the curve below on the given interval. 2 3/2 (x2 +1) on [0,6] The length of…

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Q: Find the arc length of the following curves on the given interval. 3>2 x2 on 34, 164 3

A: Given- y=x323-x12 To find- The arc length of the above curve on the interval on 34, 164. Identity…

Q: Find the exact arc length of the curve over the stated interval. y = 5x2/3, from x = 1 to x = 8…

A:

Q: Find the arc length of the curve below on the given interval. y = 2x312 on [0,1] Which of the…

A: Given: y=2x3/2 on [0,1]

Q: Find the arc length of the following curve on the given interval. x= 24t + 1, y = 7t + 7, 0sts2

A:

Q: Find the arc length of the following curve on the given interval. x=7t+1, y = 24t-7, 0≤t≤3 The…

A:

Q: Find the arc length (s) of the curve 7(t) = (e*, 4e", - 2et) for 0 <t < In(5) |

A: we are given the curve  r→(t)=e5t,-4e5t,-2e5t =e5ti-4e5tj-2e5tkwhere 0≤t≤ln5

Q: Find the arc length of the following curve on the given interval. x=8t-2, y = 15t-3, 0≤t≤2 The…

A:

Q: Find the arc length of the following curve on the given interval. x= 2t°, y = 3t, 0sts 18 The arc…

A: From the Arc length expression

Q: Find the arc length of the graph of the following function over the interval [2, 3]. 1 f(x) = 4x2

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Q: Find the arc length of the graph of the function over the indicated interval. X = 1sys 25 (E - 4)A…

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Q: 2. Find the arc length of the following path for 0 <t 1: x(t) = y(t) = 4 Hint: After a litnle…

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Q: Find the arc length of the following curves on the given interval. 1 + on 31, 24 4 8x2

A: To find the arc length of the curve y=x44+18x2  on x∈1,2

Q: 1 . Find the arc length for y = √√2-x² for 0 ≤ x ≤ √√2. Check your answer by noting that the curve…

A:

Q: Find the exact arc length of the curve over the stated interval. y = 5x2/3, from x = 1 to x = 8 %3D…

A: As we know that; The expression for the arc length of the curve is; L=∫x1x21+dydx2dx From the given…

Q: Find the arc length of the following curve on the given interval. x- 11t, y=, 0sts V8 The arc length…

A: Using arc length formula.... L=integration a to b sqrt((dx/dt)^2+(dy/dt)^2)dt

Q: Calculate the arclength of the following curve on the given interval. y%=2x3/2+1O on the interval…

A:

Q: Find the exact arc length of the curve over the stated interval. y = 5x/2 – 3, from x = 0 to z = 1…

A:

Q: Find the arc length of the curve below on the given interval. y%3D2X y=2x/2 on [0,2] Which of the…

A:

Q: The arc length of the portion of the curve y=x? with 0<. O none s=7.7868 Os29.0734 sx10.1938

A: Given that: y=x3/2,    0≤x≤4

Q: 2. FIND THE ARC LENGTH OF THE FOLLOWING FUNCTIONS. SKETCH THE GRAPHS. 6xy = x^4 + 3 from x = 1 to x…

A: Given : 6xy = x⁴ + 3 from x = 1 to x = 2

Q: Find the arc length of the curve below on the given interval 3 /2 on (0,10] y 2x Which of the…

A:

Q: x = -3-3/f, y = 41*, (16 <t S 25)

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.