The length of the curve y = (2+ 2x )3/2 between x=0 and x=2 is O 41/3 O 45/2 O 43/2 O 47/3 49/6 ООО О

Q: calculate the length of the curve y=2cosh (x/2) for 0 < x < 2

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Q: Find the length of the curve on y=2x^(3/2) from x=0 to x=1

A: Explanation of the solution is given below...

Q: What is not true about the curve y = as x-∞, y 0 None of the Choices Domain is 1 < x <∞. O Intersect…

A: Given curve is y=lnx-1xex The following options are verified as shown below.

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

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Q: 2 The length of the curve y = 312 between x = 0 and x = 1 is 3 %3D %3D

A: Answer is 4√2/3 unit.

Q: What is the length of the latus rectum of the curve x2=-12

A: Answer

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

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Q: Find the length of the curve y = V4t2 – 1 dt, 1<x<2 O 3 O 8 O 104 3. O 15

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Q: rea under the curve y = 2x – x² from x = 1 to x = 2 with n = 4 %3D tonglon

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

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Q: Find the length of the curve y =/2 from z = 0 to z = 3. %3D

A: Integration of (1+(f'(x))2)1/2 form 0 to.3

Q: Find all points of horizontal and vertical tangency to the curve: x = 3cos 0 y = 3sine

A: for Horizontal tangent put dydθ=0 for the vertical tangent put dxdθ=0

Q: Find the equation for the tangent plane and the normal line at the point Po(1,1,3) on the surface…

A: Given problem:- Find the equation for the tangent plane and the normal line at the point Po(1,1,3)…

Q: 2. Find the angle of intersection between the following pairs of curve. Express your answers in…

A: We know that; The expression for the angle of the intersection between the two curves is:…

Q: Find the exact length of the curve over the given interval. 1 along 1 < y < 2. 8 4y2 ' ||

A: Find the length of the given curve

Q: set up intergral for the length an of the Curve 3T y%3DZ0* sin cx), 04XE

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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 part of the curve y = = between x = 1 and x = 2.

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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: Find the length of the curve. 29) y = 1,3. 6. 1. from x = 1 to x = 3 2х

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Q: Consider an q-curve with parameters 3 and 14. a. Determine q0.05. b. Find the q-value with area 0.01…

A: The provided information are: Number of parameters (k) = 3 Degree of freedom (df) = 14

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 = x2 from x = 0 to x = 7.

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Q: Find the length of the curve y = In (1 – 2*) over the interval [-,].

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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: 4. Find the exact length of the curve. 36y2=(x²-4)3,2≤x≤3.y≥1

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

A: We have to find out the length of curve.

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

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Q: Use newtons method to approximate all intersection points of the following pair of curves y= 3 ex…

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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 LENGTH OF THE CURVE 9y = x(x – 3)´ from X = 1 to x = 4 %3D 10

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Q: Find the length of the curve 3x = (y² + 2)³/2 from y = 2 to y = 3 %3D

A: Use length of curve formula:-  for a given curve x = f(y) from y=y1 to y=y2 length of curve,…

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 the interval -2sxs-1. y = L, V3t² – 1 dt curve in

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Q: Find the length of the curve. 3/2 y = (4 – x2/3 )2 %3D from x = 1 to x = 8 %3D %3D

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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: (B) Find the length of the curve y 4 -Inx for 1<x <3

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Q: Find a curve through the point (1, 9 whose length on the interval [1, 2] is given by i VI+ 25z!0dz-…

A: Explanation: Given a curve, ∫121+25x10dx Function f(x) has an arc length on the interval [a,b] is…

Q: 1 y == (x² + 4)°%2 ,0 sxS 2 (x2 + 4)°/2 ,0<x< 2 6. deur die berekening van die volgende bej…

A: The given function y is - y = 16x2+432     ........(1)Formula for calcualting the lenght of a curve…

Q: A bee was flying upward along the curve that is the intersection of z = x⁴+xy³+12 with the plane…

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

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Q: Find the exact length of the curve. 1 + 8. X = 1 s y < 3 4y2'

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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: What is the longest distance from the curve x ^ 2 + xy + y ^ 2 = 16 to the origin?

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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: Identify the length of the curve 1X = ²+2y — In(y + 1), for 0 ≤ y ≤ 2. - 8

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.