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

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

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

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Q: Find the exact length of the curve. y = 1 - e-x ,    0≤   x ≤ 2

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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 given by 2t2 t3 (0 <t < 5). x = Length = ||

A: Solve for the length of curve

Q: Find the exact length of the curve over the given interval. y? = 4(x + 4)*, along 0 0.

A: we have to find the exact length of the given curve

Q: Find the exact length of the curve. = 글Vy (y-3), 16 sys 25 X =

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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: tind the point on the curve y=Jx that is closest to the point (3,0).

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Q: Find the exact length of the curve. y = ln (1 − x2),  0 ≤ x ≤ 1/3

A: We need to use the chain rule to find dy/dx.

Q: 6. Find the length of the curve y =-+ from x =1 to x=2. 9. 28x

A: The curve is given by the equation, y=x99+128x7  and the point is given from x=1 to x=2. To find :…

Q: Find the exact length of the curve y=1+6x% for 0<xsl

A: We have to find the exact length of the curve y=1+6x32 for 0≤x≤1.

Q: The length of the curve y = from x = 0 to x 6 is

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Q: The tangent line to the graph of y 5x-x' when x 3 is y -22x +54 OB 8. y-12x +54 y=-9x+5 OD.

A: The equation of the curve is given by y = 5x-x3 To evaluate : The equation of the tangent line to…

Q: find the length of the curve on the given interval: y = 4/3 (x+1) ^ (3/2), [0,3]

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Q: Find the exact length of the curve. y = (1 + x2)3/2, 0 < x < 2

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

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Q: Find the exact length of the curve.y = 9 + 1/7 cosh(7x),  0 ≤ x ≤ 6

A: Given that: To find: Exact length of the curve

Q: The slope of the tangent line to the curve y = x² + 4x + 7 at x = 1 is Blank 1. Blank 1 Add your…

A: The solution of the problem is given in the next step.

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: Find the exact length of the curve. y = 9 +  1 7  cosh(7x),  0 ≤ x ≤ 6

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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 length of one branch of the curve ay? = x3 from x = 0 and x = 5a. 4.

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Q: 1. Find the length of the curve y = x2 from x 1 to x = 4.

A: According to our guidelines, we can answer only the first question, the rest can be reposted.

Q: Find the exact length of the curve. y (y-3), 4sys 16 X =

A: use derivative for finding the exact length.

Q: Find the length of the curve y = x3/2 from x = 0 to x = 3.

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Q: Sketch a curve with the following properties. 0, for x> 12

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Q: Find the exact length of the curve y=x3/3 + 1/4x, 1 less than or equal to X less than or equal to 2

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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: Find the length of the curve y = ln (1 - x2), 0&lt;=x&lt;=1/2

A: Given:

Q: Find the length of the curve defined by the y-axis. over the interval <r< 1 about 2.r

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Q: Find the length of the curve y = x - lnx ; 1≤ x ≤ 4.

A: Given curve y=x-lnx  On closed interval [1,4] Length of the curve L=? Step 1 Find the derivate of…

Q: Find the exact length of the curve y = (2/3)(x^2-1)^(3/2), where 1 is less than or equal to x which…

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Q: Find the length of the curve defined by Y=5x^3/2+9y from x=1 to x=8.

A: Given that

Q: find the length of the curve on the given interval: y=1/3(x^2+2)^(3/2), [0, 1]

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Q: Q. Find the length of the arc of the curve f(x) =+3,

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Q: Find the exact length of the curve. y = = 0 < x < 6

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Q: Find the exact length of the curve. y = 5 + 8x/2, 0<x<1

A: Topic = application of derivatives

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

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

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Q: n of the curve, L. (x+ 1)* , 0 0

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Q: Find the exact length of the curve. x = Vy (y - 3), 9 < ys 25

A: It is given that x=13yy-3, we need to find the exact length of curve.

Q: The length of the curve y from x=0 to x= 6 is

A: We need to find the length of the curve  y=23(x2+1)32 from x=0 to x=6

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

A:

Q: 3. Find the length of the curve y = x - In a, 1< x < 4.

A: Note: According to bartleby we have to answer only first question please upload the question…

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

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Q: Find the length of the curve y =1+6x?on the interval 0<x<1.

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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

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.