Evaluate the length of the curve x = 5 - y+1,0

Q: Find the length of the curve y = x³/2 from (1, 1) to (2, 2/2).

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Q: Find the length of the curve :   x=(y^3/2)/3-y^1/2 from y=1 to y=9

A: The given curve is: x=13y32-y12        from  y=1  to  y=9

Q: Find the exact length of the curve.10. 36y 2 = (x2 – 4)3, 2 ≤ x ≤ 3, y ≥ 0

A: Given :                36 y2  =  ( x2 - 4)3  To find :                  The exact length of the…

Q: Find length of curve: y=3x^(3/2) from x=0 to x=4

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Q: Find the length of the curve 36y2 = (x — 4)3 , 2 ≤ y ≤ 3, y ≥ 0.

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Q: Find the length of the curve y ' = 8x from x=1 to x = 8 www

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Q: Find the length of the curve. 33 X = x=11t°, y= ², t,0stsv3

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Q: Find the length of the curve y 2ln(x) from x 1 to x =4. %3D

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Q: Find the exact length of the curve.   36y2 = (x2 − 4)3,    5 ≤ x ≤ 6,    y ≥ 0

A: NOTE: Refresh your page if you can't see any equations. . but here

Q: Find the exact length of the curve. 1 y = 4 -x² - In(x), 1< x < 8 2

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Q: Find the length of the curve y=lnx from x=1.5 to x=3.

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Q: Find the length of the curve. ¹) x = ¹ y 3/2 - y 1/2 from x = 1/2 from 4) 3 5) x x= 16 to x = 25 =…

A: If a function y=f(x) is defined on interval [a,b] the length of the curve is given as - Length (L)=…

Q: y = 4 1 ,2 In x, 1<x < 2 2 -

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Q: 3. Find the length of the curve y =x* +÷x¯² from x = 1 to x = 4

A: 3 Given function isfx=y=18x4+14x-2  from x=1 to x=4now we can writen as fx=x48+14x2 on 1,4The lenght…

Q: Find the length of the curve. y=1/6(x^2+4)^3/2, 0 less than or equal to x less than or equal to 2

A: Find dy/dx of the given function

Q: Find the exact length of the curve. 1 y = 1 + cosh(8x), 0 ≤ x ≤ 1 8

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Q: Find the exact length of the curve. 2 3/2 y = = 12, 0<xs 1

A: Given ,y=23x32Aim: To find length of curve in [0,1]We know that…

Q: X = 8 1 + 1 < y< 2 4y2'

A: We find the length of the given curve by using the formula of length of the curve. The length of a…

Q: Find the exact length of the curve. 36y2 = (x² – 4)³, 4 < x < 9,

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Q: Determine the length of the curve x = 3y2 -1 between y = 0 and y = 4 3/2

A: The given curve is x=3y32-1 We will find the arc length of the curve between y=0 and y=4

Q: Evaluate the length of the curve x = 6 – Vy – 2 , 3< y<6

A: To find the length of following curve  x = 6 - sqrt( y - 6) 3 ≤ y ≤ 6

Q: Find the length of the curve y= 3 1 from x =1 to x=2 4х 2)

A: To find length of curve y=x33+14xfrom x =1 to x=2

Q: Find the exact length of the curve. 1 1<x<2 y = 8. 4.x *

A: solution.

Q: Find the are length of the curve 2x = 3 y over the interval from y=0 to y=1

A: To find: The arc length of the curve in the interval . Formula used: The arc length of the curve…

Q: Find the exact length of the curve. y = 5 + cosh (2x), 0≤x≤ 7

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Q: Compute the length of the curve x = 2y3 + 1/(24y) from y = 1 to y = 3.

A: Given: x=2y3+124y1≤y≤3

Q: Find the set of values of y=2x+k meets the curve y=1+2kx-x² at 2 distinct points?

A: Given: y=2x+kat 2 distinct points

Q: Find the exact length of the curve. 1 + X = 8 , 1< y< 2 4y2'

A: It is given that,       x=y48+14y2,   1≤y≥2we have to find the exact length of the curve.   So, we…

Q: Calculate the length of the curve defined by x =- Vy(y-3)on the interval 1 < y < 9.

A: x=13yy-3,   1≤y≤9 Differentiating with respect to y, we get…

Q: + 2 Find the length of the curve y = from the point where a = 1 to the point where x = 2.

A: The length s of a curve with the function y=f(x) for the interval of x from a to b is given by the…

Q: Use the guideline of this section to sketch the curve 1. y = 1 + 1/x + 1/(x ^ 2)

A: To Sketch: y=1+1x+1x2 Explanation: (a). Domain and Range y=1+1x+1x2is defined everywhere except…

Q: Find the length of the curve y x7 from ¤ = 0 to x = 15. 2/3

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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: Find the length of the curve y=3/2 x^2/3 from x=1 to x=8

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Q: Find the length of the curve. y = (4 - x2/3) 3/2 from x = 1 to x = 8 O 9 O 12 O 18 O 6

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Q: Find the exact length of the curve. 1 y = -x° 4 x² -- In(x), 1<x< 4 | 2

A: Given curve, y=14x2-12lnx   ;  1≤x≤4

Q: Find the curve length 1 X = 3 0² + 2) ?',0 < y < 4

A: In this problem, curve length of the given curve is to be determined

Q: Find the length of the curve x = (y − 5)3/2 from y = 5 to y = 6.

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Q: Find the length of the curve 3 y = x7 – 2 from x = 0 to X = 4.

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Q: Compute the length of the curve: f (x) = x² 2x, 0<x<2

A: Given:- f(x) =x2 -2x  To find:-  Length of curve over interval [0, 2]

Q: Find the exact length of the curve. 36y² = (x²-4)³, 4≤x≤6, y 20

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Q: Locate the points of inflection of the curve 4 ƒ (x) = x²e* -2+ V3 2+ V3 Option 1 Option 2 -2+ v2…

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Q: 5. Find the length of the curve x = +22 from y =0 to y=3.

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Q: Find the length of the curve y = (x/2)2/3 from x = 0 to x = 2.

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Q: Find the length of the curve 3y = (x² + 1) ? from x = 0 to x = 3.

A: Given:

Q: Find the exact length of the curve. y = 4 글2-글 In(x), 1 < x < 4

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Q: Find the length of the curve. 33) y-승. from x = 1 to x= 5 2x

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Q: Find the exact length of the curve. y = 9 + ¹ cosh (8x), 0≤x≤7

A: The curve y=9+18cosh8x, 0≤x≤7

Q: Evaluate the length of the curve y = 3 + 3Vx +1 , 0<x< 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.