Find the length of the graph of  6xy=y4+3 from y=4 to y=5

Q: Find the exact length of the curve. y = 4 + 2x3/2, 0 < x < 1

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Q: Find the length of the curve y = xVa 0 <x < 1.

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Q: 7. Find the exact length of the curve: y = 1 + 6x³/², 0 < x < 1.

A: The length of the curve is calculated from the graph.

Q: Find the point (a, b) on the graph of y = ex where the value ab is theleast.

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Q: Find the exact length of the curve. y4 1 X = 8 1sy< 3 4y2"

A: Here the formula of length of the curve is:

Q: Find the points on the curve xy2 = 54 nearest the origin.

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Q: Find the exact length of the curve. y = 3 + 6x³/2, 0≤x≤1

A: Given :y=3+6x3/20≤x≤1

Q: Find the exact length of the curve. y =  1/4 x2  - 1/2 In x,   1≤ x ≤ 2

A: Consider the given curve Here the objective is to find the exact length of the given curve

Q: Find the exact length of the curve.

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Q: 1. Find the length of the curve y = 3 xi - () x , from x = 1 to x = 4.

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Q: Find the points on the curve x2 + xy + y2 = 16 which are nearest and farthest from the origin.

A: Given curve is g: x2+xy+y2=16 If x,y is any point on the curve g: x2+xy+y2=16 Then square of the…

Q: Find the points on the curve x^2y = 2 nearest the origin.

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

A:

Q: Find the exact length of the curve. y = 4 + 6x3/2, 0 < x < 1

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Q: Find the exact length of the curve. x =Vy ( - 3), 1sys 25

A: given: x=13yy-3

Q: Find the exact length of the curve. y - 4 + 2x 3/2, o sxS1 1.547

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

Q: Find the length of the curve r=θ^2 from θ=0 to θ=6

A: Given: -

Q: Find the exact length of the curve. y = 5 + 2x³/2, 0< x < 1

A: Given: y=fx=5+2x32, 0≤x≤1 we know that lengthL of curve in interval a,b is given by L=∫ab1+f'x2dx…

Q: Find the exact length of the curve.   y2 = 4(x + 4)3 , 0 ≤ x≤ 2 , y&gt; 0

A: Given: y2=4x+43,0≤x≤2,y&gt;0 To Find: Find the Exact length of the curve. Concept: Length of the…

Q: Find the exact length of the curve. y = In(1-x), 0sxs 8.

A: Given that: y=ln 1-x2, 0≤x≤18

Q: 1. Find the length of the curve: y = x/2 , x = 0 to x = 4

A:

Q: Find the slope of the line tangent to the graph of y = cos 3xat x = 13π/6.

A: The slope (m)  of the line tangent to the graph y=f(x) at point (x1,y1) is given by:

Q: Sketch the graph of y = m(r) in Figure 2. %3D 음-3, rS-1 m(x) = 4 %3D 1<r<5

A: Given,          mx=13x-3x≤-141&lt;x&lt;5

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

A: Given,         The length of the curve y=32x23 from x=1 to x=8.We know that,         The length of…

Q: 3. Find the length of the curve r = e® for 0ses 2n.

A: Given polar curv er=eθ   ; 0≤θ≤2π

Q: Find the exact length of the curve.y = 4 + 2x3/2, 0 ≤ x ≤ 1

A: Please see the white board for the formua to calculate the length, L of the curve y = f(x), over the…

Q: Find the point (a, b) on the graph of y = e^x where the value ab is as small as possible.

A: Solution:Given y=exTo find(a,b)  where ab is as small as possible.

Q: 11. Find the length of the curve y = 2x3/2 x!/2 from x = 1 to x = 4. 2

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

Q: Find the exact length of the curve. y2 = 16(x + 3)3,   0 ≤ x ≤ 3,  y &gt; 0

A: Given: Find the exact length of the curve.

Q: 2. Find the point on the curve y = VI thats is closest to the point (3,0)

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Q: Find the exact length of the curve. y = 5 + 2x³/2, 0≤x≤ 1 2.268 X

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Q: Find the exact length of the curve. y = 4 =Dx2-을 In(x), 1sxs6 =

A:

Q: Find the length of the following curve. y=4x^3/2 from x=0 to x=5

A: The given curve is y=4x32 from x=0 to x=5. Compute the arc length as follows.

Q: Find the exact length of the curve y=x^4/4+1/(8x^2 ) , 1≤x≤2.

A: Given: The expression to calculate the length of a curve 'y=f(x)' is over the interval [a,b] is,…

Q: 7.) Find the shortest distance between (4,2) and the curve y? = 8x.

A:

Q: Find the length of the following curve. 3 y = 2x from x =0 to x=7

A: Given: y=2x32   from  x=0 to x=7

Q: Graph z(t) = i + 2eit

A: We have to choose abscissa as t and ordinate as y.

Q: 9. Find the point on the curve y x² closest to the point (0, 1).

A: As per bartleby guidelines we only give first question answers.

Q: Find the points on the curve y-9x closest to the point (0, 4). ) and (O

A:

Q: Find the exact length of the curve. x = 8 4y2' 1sys 2

A: Given, x=y48+14y2,1≤y≤2

Q: Q1. Find the length of the of the curve y = from x = 0 to x = 3.

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

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Q: Find the arclength of y = 4x2 - 4 where x is greater than or equal to 0 and less than or equal to 4

A: Concept Used: The arc length of the function is the length of the curve y=fx on the interval a,b is…

Q: Q1. Find the length of the of the curve y= from x = 0 to x = 3.

A:

Q: How far from the x-axis is the center of the curve 2x2 – 2y2 + 10x – 6y – 55 = 0?

A: The given equation of the curve is: 2x2 – 2y2 + 10x – 6y – 55 = 0 This can be written as:

Q: Find the length of the curve y = x^4 for 0&lt;_x &lt;_1

A:

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

A: The given curve,   y=x33+14x, 1≤x≤2

Q: Find the points on the curve x2y = 2 nearest the origin.

A: The curve is x2y=2 Let x1,y1 and x2,y2 be two points, distance betwwen these points is x2-x12+y2-y12

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.