Find xdy + ydx, where C is the arc of the curve C y = et for 0 < x < 5

Q: (x²+2)³/2 -; [0,1] y = 3.

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Q: Find the arc length of the curve x = 4t + 4, y = 3t – 3 where 0 <t< 4. Tutorial

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Q: Find the arc length of the curve from z = 3 to = 6. Leave your answer as a simplified radical. f(x)…

A: Explanation of the answer is as follows

Q: Find the arc length of the curve on the given interval. (a) x = 3t + 5, y = 7 – 2t, t e [-1,3]

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Find the exact length of the curve. y = In(sec(x)), Osxs n/4

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Q: Find the arc length function for the curve y = 2x3/2with starting point P0(36, 432).

A: Given, function

Q: Find the arc length of the graph of the function y=2x32+3y=2x32+3 over the interval [0,9][0,9].

A: Here we have to find the arc length of the graph of the function y= 2x3/2 +3 over the interval [0,9]

Q: Determine the Arc Length of the Curve. x=(2y3/3)+(1/8y) for 1≤y≤2

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Q: Find the arc length of the curve x = t2 + 1, y = 4t3 + 3 on the given interval    0 ≤ t ≤ 2.

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Q: Find the arc length of the curves x = 5, y = 5, 0<t< 1. 3:

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Q: Find the arc length of the curve r 2sin () from 0 0 to 0 = 7.

A: To find the arclength of the polar curve.

Q: Find the length of the arc of y=x^(3/2) between the points (1,1) and (4,8).

A: Find the length of the arc of y=x^(3/2) between the points (1,1) and (4,8)

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: Evaluate Iz = y", 2ry ) · d7 where C3 is the arc of the curve x = 3 – 2y that extends from (7, –2)…

A: we have to evaluate the following

Q: Find the arclength of the curve y = (x² − 4)² on [2,4].

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Q: Let C be the curve y= 3ln(9-x^2), [-0.9,2.9], find the arc length C.

A: Given y=3ln9-x2 ,-0.9,2.9

Q: 3 5 х3; [1,3] 3 1 (с) y = у 10 У — X3 2

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Approximate the arc length of the curve y = x over the interval [1, 2] using the trapezoidal rule…

A: Introduction: The length of arc of a given curve over a given interval is another important…

Q: Find the arc length of the graph of y^2=4x^3, between points (0, 0) and (2, 4sqrt(2)).

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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 arc length of the graph by partitioning the x-axis. y=(1-x2/3)3/2 , from x= 1/64 to x=1

A: Given function is y = y= 1-x2/33/2 from x= 1/64 to x=1 The arc length of a curve on the interval [a,…

Q: Find the Arc Length of y= 3ln(x) - ((x2)/24)) on [1,6]

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Q: Find the length of the arc of the curve y=x+3 from the point where y=2 to the point where y=x^2+1…

A: y=x+3  ⇒x=y-3⇒dx=dy⇒dxdy=1 The formula for the length of the arc from the point y=2 to y=x2+1…

Q: Find the length of the arc of the curve defined as follow: 1 (1) y= (2) r(t)=2t, y(t) =21n (cost).…

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Q: Find the arc length of the curve y = 2/3 (x − 1)3/2 on the interval [2,3]

A: Arc length is given by the following formula

Q: find the arc length of the curve on the given interval:

A: We find dx/dt and dy/dt

Q: Find the arc length of the curve r = 2/0, for 7/2 < 0 < T Arc length =

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Q: Find the exact length of the curve. y = In(sec(x)), OsxSa/4

A: Length of a curve f(x) in interval [a,b] is given by ∫ab1+(f'(x))2dx

Q: Use the arc length formula to find the length of the curve y = 2-3x, -2 is less than or equal to x…

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Q: Find the arc length of the graph by partitioning the x-axis. y =2/3(x2 + 1)3/2, from x = 2 to x=7

A: The arc length of a curve y = f(x) over an interval [a, b] is given by the formula

Q: Find the arc length of the curve y = 2/3x 3/2 from (1, 2/3) to (2, 4/ 3).

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

Q: Find the arc length of the curve y=(1/8)(x^2−8ln(x)) from x=3 to x=8

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Q: Find the exact length of the curve. y = In(sec(x)), 0<x< 1/3 In (2 + v 2 ) – - In (1)

A: Since you have posted 2 questions we will solve one for you please resubmit the question. Given:…

Q: 4. Find the length of the arc of the curve 8y = x + 2x-2 from the point where x = 1 to the point %3D…

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Q: 3 x =-2+ Vt, y = 21*, 1St<25 1St <25

A: Given: x=-2+t, y=2t34 and 1≤t≤25 x=-2+tdxdt=12t y=2t34dydt=32t1/4

Q: Find the exact arc length of the curve x = 9+ 12t2, y = 2+ 8t°, 0 <t<3.

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Q: Find the length of the arc of the curve x2 = (y − 2)3 from P(1, 3) to Q(8, 6).

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Q: Find the length of the arc of the curve in the given range, x = 16y + 4y2 + ン3 +. 3 4(y + 4) 0 < y<…

A: In the question we have to find length of Arc of the curve.

Q: Find the exact length of the curve. y = In(sec(x)), Osxs- 6

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Q: Find | xdy + ydx, where C is the arc of the curve y = eª for 0 < x < 3

A: Given Data: The given integrand is: ∫Cxdy+ydx The equation of the curve is: y=ex ......1 The limit…

Q: 3. Find the exact arc length of the curve y = 2Vx' on the interval [0,11]. ( -. TV +70 +60 +50 +40…

A: To find  The exact arc length of the given curve.

Q: Find the arc length of the curve y=1/20 x^5+1/3 x^−3 for 1≤ x ≤ 2

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Q: Find the exact arc length of the curve x = (² + 2)¯ from y = 1 to y = 5.

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Q: Find the arclength of the curve z = with 4 <t<7. %3| %3!

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Q: Find the exact arc length of the curve over the stated interval.  x = 1/8 y^4 + 1/4 y^-2, from y =…

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Q: Find the arc length of the portion of the curve y = 6x with 0<x<1.

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Q: Find the length of the arc of the curve in the given range, y3 1 x = 16y + 4y² + 3 0 <y< 4 - 4(y…

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

Q: Find the arc length of the curve given by x=t^2,y=2t^2+1,1≤t≤3

A: Given,

Q: Find the arc length function for the curve y =2x3/2 withstarting point P0(1,2) .

A: Given: y=2x32 ,P01,2

Q: Find the length of the arc of the curve x2=(y-2)3 from P(1,3) to Q(8,6).

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.