Find the arc length of the curve below on the given interval. 3 4/3 3,2/3 + 8 on [1,27] y= 7* The length of the curve is . (Type an exact answer, using radicals as needed.)

Q: Find the arc length of the following curve on the given interval. x-sint-tcost y= cost+tsint 0sts 2…

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Q: Find the arc length of the following curve on the given interval. x=2sint−2tcost​, y=2cost+2tsint​,…

A: Consider the curve  x=2sint−2tcost​, y=2cost+2tsint                        0≤t≤π2

Q: E. Find the arc length of the curve 24xy y + 48 from y-2 to y-4 %3D Find the ane lenoth ofthe curve

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Q: Find the arc length of the curve below on the given int 1 for 2sys4 8y?" X=- + 4 The length of the…

A: Here we have, x=y44+18y2, for 2≤y≤4

Q: Find the exact arc length of the curve over the stated interval. 24.cy = y4 + 48, from y 2 to y = 4…

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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. 24xy = y4 + 48, from y = 2 to y= 4…

A: The expression for the arc length of the curve is: L=∫abdxdy2+1dy Given: 24xy=y4+48a=2, b=4

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 curve below on the given interval by integrating with respect to x. 1 :…

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Q: Find the arc length of the curve below on the given interval. y= 2x3/2 on [0,9] Which of the…

A: To find the arc length of curve

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 of the given curve on the specified interval. This problem may make use of the…

A: Explanation of the answer is as follows

Q: Find the exact arc length of the curve over the stated interval. 48xy = y4 + 192, from y = 3 to y =…

A: Given, 48xy= y⁴+192 x= (y⁴/48y) + (192/48y) x= (1/48)y³ +(4/y)

Q: Find the arc length of the curve below on the given interval. 3 1/3 3 5/3 X- 4* +6 on [1,8] The…

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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: 4x/2 on 2 < I54 Find the arclength of y

A: Given: y=4x32 on 2≤x≤4

Q: Find the arc length of the graph of y = (x3/6) + (1/2)x on the interval [ 1/2 , 2], as shown

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Q: Find the length of the following three-dimensional curve. r(t) = (7 +2t,3 - 5t, - 8 + 2t), for 1sts3…

A: The solution are next step

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

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Q: Find the exact arc length of the curve over the stated interval. 24.cy = y4 + 48, from y = 2 to y =…

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

A: Given, y=x33+14xdifferentiating w.r.t xdydx=3x23+14(-1)x-2     =x2-14x2

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

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Q: Find the exact arc length of the curve over the stated interval. y = 3x3/2 – 4, from x = 0 to x = 1…

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Q: Find the exact arc length of the curve over the stated interval. y = 3x3/2 – 4, from x = 0 to x = 1…

A: The arc length of the curve is given by the formula ∫ab1+f'(x)2dx here fx=3x32-4 find the derivative…

Q: Find the exact arc length of the curve over the stated interval. 1 yt +-y from y = 1 to y = 2 X =-…

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Q: Find the arc length parameter along the curve from the point where t= 0 by evaluating the integral…

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Q: Find the arc length of the graph of r(t) = ev2ti + ev2rg + 2tk, 0<t<V2 In 3 %3D NOTE: Enter the…

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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 curve below on the given interval by integrating with respect to x. x3 1…

A: y= x33 + 14x ; [1,2]Lenght of the arc (L) = ∫ab 1 + (y')2 dx  ---- 1

Q: Find an arc length L of the curve given by r(t) = ⟨2 + cos 3t, 3 − sin 3t, √ t^3⟩ for 0 ≤ t ≤ 5…

A: The arc-length formula is: L=∫ab(x'(t))2+(y'(t))2+(z'(t))2dt...(1)

Q: Find the arc length of the graph of r(t) = ev2'i + e-V24j+ 2tk, 0<t< v2 In 9 NOTE: Enter the exact…

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Q: Find the exact arc length of the curve over the stated interval. 48xy = y4 + 192, from y = 3 to y =…

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Q: Find the exact arc length of the curve over the stated interval. ży-2 from y = 1 to y = 2 X = Enter…

A: Solution: The objective is to find the arc length of the given curve

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. X3= 3. 2)3/2, o syS 2

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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 = 64 %3D…

A: NOTE: Refresh your page if you can't see any equations. . take  derivative

Q: Find the arc length of the curve below on the given interval. 3 1/3 3.5/3 y = 5x +9 on [1,27] The…

A: The given curve,    y=35x53-34x13+9 on 1,27

Q: Find the exact arc length of the curve over the stated interval. 24xy yt + 48, from y = 2 to y = 4…

A: This question is related to definite integration, We will solve it using given information.

Q: 3. Find the arc length of the following curve on the given interval. 1 p3/2 on [1,9]

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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 given curve on the specified interval. This problem may make use of the…

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

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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: Find the exact arc length of the curve x = (? + 2)7 from y = 0 to y = 8. Enter the exact answer. L =

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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 Data : Equation of the curve y=x33+14x  , 1,3 To Find : Arc length The expression fro the…

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

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Q: Find the exact arc length of the curve over the stated interval. 1 -2, from y = 1 to y = 2 1 49…

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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

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.