Find the arc length of the curve below on the given interval. y = 2x312 on [0,1] Which of the following is the length of the curve? O A. [103/2 - 1] 27 [102/3 - 1] 27 Oc. O. [103/2 - 1] OD. L10219 -1] -[10²/3

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

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Q: f (x) = V4 – a² on [-2, 2]

A: We have to compute the arc length of the graph of the given function f(x)=4-x2 on the interval -2,2.…

Q: Find the arc length L of the graph of the given equation from P to Q or on the specified interval. y…

A: Solution is written in below steps.

Q: Find the arc length of the graph of the function over the indicated interval. y -m (anon).

A:

Q: Find the arc length of the graph of the function over the indicated interval x = ² 글(v2+ 2)3/2,…

A: Given x =13y2+23/2 ...(1)   0≤y ≤5Differentiating (1) with respect to y, we get f'(y) =dxdy =…

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

A: Given function is y=32x23,  1, 8

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

A:

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: 3 The arc length of the portion of the curve y x2 with 0sx<4 is Os29.0734 none OS10.1938 S7.7868

A: Given:     curve y=x32 , 0≤x≤4 The arc length of function y = f(x) for interval a to b is…

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: 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: 2. Find the arc length of the following curves on the given interval. x2 (a) y = 3 In x - 24 on [1,…

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Q: Compute the arclength of the following curves. (y-1)³ =x², for 0 <x< 5 а.

A: We have to compute the arc length for the function y-13=x2, for 0≤x≤5.

Q: Find the arc length of the curve below on the given interval. とマ 1 X=- , for 2sys4 8y 4 The length…

A: We know that length of curve x=f(y) from y=a to y=b is L=∫ab1+dxdy2dy

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

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

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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 graph of the function over the indicated interval. (Round your answer to…

A: To find arc length of y=lnex+1ex-1,      ln8, ln9

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

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Q: 7. Find the arc length of each curve (integrate by hand) a) x = -8y– 3 on [– 2,6] b) y = , 3 on…

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

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 on the given interval:

A: We find dx/dt and dy/dt

Q: Find the exact arc length of the curve over the stated interval. y = 4x2/3, from x = 1 to x = 64 %3D…

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Q: Find the arc length of the graph of the function f(x) = (4/5)x5/4 over the interval [0, 4].

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

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Q: Find the arc length of the graph of the function over the indicated interval. =극v2 + 2)32, 0sys7 X =

A: Use length of curve formula about Y axis

Q: Find the arc length of the following curve on the given interval. x= 213, y = 312, 0sts 3 The arc…

A: Answer and explanation is given below..

Q: Find the arc length of the graph of the function over the indicated interval.

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 of the graph of the function over the given interval. y = In x, [1, 8]

A: Given that  function  y=fx=lnx,1,8The formula for arc length of a curve y=fx over thhe interval a,b…

Q: 1 for the interval [1,3]. 8x2 Find the arc length L of the curve y

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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: 6: Find the arc length for the curve f(x) = (x – 1)/2 between x = 9 and x = 36

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Q: Find the arc length of the graph of the function over the indicated interval. X = 3 Vyv - 3), 1<y s…

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

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 function over the indicated interval. X = 1sys 25 (E - 4)A…

A:

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: Find the arc length of the curve below on the given interval.

A:

Q: The arc length of the portion of the curve y=x² with 0<x<4 is попе s=7.7868 sz9.0734 s=10.1938

A: As we know that the expression for the arc length of the curve is:   S=∫abf'x2+1dx   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: 3) Find the arclength of the following curve on the given interval. x = 31, y= 41; 1<t<4 X =

A:

Q: Find the arc length of the graph of the function over the indicated interval. (v² + 2)3/2, o sys5

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.