Find the centroid of the region that is bounded by the line Y = 3X, the line X = 2 and the X axis.

Q: Find the centroid (ã, ỹ) of the region bounded by: y = 82* + 5а, у — 0, х — 0, and x 3D 2. x= j=

A: y = 8x2 + 5x, y = 0, x = 0, and x = 2 To find the centroid (x̄, ȳ) of the region bounded by above…

Q: Find the centroid of the region bounded by the givencurves. y = 1/2 x  y = √x

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Q: Sketch the region bounded by the curves, and visually estimate the location of the centroid. y = e*,…

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Q: Find the centroid of the region bounded by the given curves. y = 2 - x2,      y = x

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Q: Find the centroid of the region bounded by the givencurves. y = 2- x sq ,y = x

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Q: Find the area and centroid bounded by y=x , y=-2x, x=3 and graph.

A: Given lines are  y=x,y=-2x and x=3

Q: Find the centroid (¯x,¯y)(x¯,y¯) of the region bounded by: y=3x^2+7x,   y=0,   x=0, and   x=6

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Q: Find the centroid (¯x,¯y) of the region bounded by: y=8x2+9x,   y=0,   x=0,   and    y=0,   x=0,…

A: Given data: The first function given is f(x)=8x2+9x. The second function given is g(x)=0. The given…

Q: Sketch the region bounded by the curves, and visually estimate the location of the centroid. y = 2x,…

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Q: Find the centroid of the region R bounded by the graphs of y = x² and y = 1.

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Q: Find the centroid of the region bounded by the graphs of y=x2 and x+y=6.

A: Given: The region is bounded by the graphs of y=x2 and x+y=6. We have to find the centroid of the…

Q: Find the centroid of the region bounded by y=x^2 and y=2.

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Q: Sketch the region bounded by the curves, and find the centroid of the region. =0,2 = 1, y = 0, y =…

A: Given: Region bounded by the curves x=0, x=1, y=0, y=4-x2. To find: 1. Sketch the region bounded by…

Q: Find the exact coordinates of the centroid for the region bounded by the curves y = 4 – x² and y =…

A: The coordinates of the centroid of the area bounded under the curve of the function y=f(x) in the…

Q: Find the centroid of the plane region bounded by the graphs of y = x3 and x = y2

A: Take f(x)=x3,g(x)=x Both the functions intersect at x=0,1. To find the centroid let's find the area…

Q: Find the centroid of the region bounded by the curves y=x^3 , y=0 and x+y=2

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Q: find the ordinate of the centroid of the region bounded by the parabola y = x^2 and the line y = 2x…

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Q: Find the centroid of the region bounded by the graphs y = x² and y = x + 20.

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Q: Find the centroid of the homogeneous lamina bounded by the graph whose borders are f(x) = 16 − x2…

A: Let k be the density of the lamina body which is bounded by f(x) and (x-axis)

Q: Find the coordinates of the centroid of the region bounded by the curves y= 1 / x, y = 0, x = 1, x =…

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Q: Sketch the region bounded by the curves, and visually estimate the location of the centroid. y =…

A: Given y=5x , y=0 and x=1 , x=3

Q: Find the centroid of the region bounded by the curves y = x*, y = 0 and r = 1.

A: Recall the following. A=∫abfx-gxdxx=1A∫abxfx-gxdxy=12A∫abfx2-gx2dx The region is bounded by the…

Q: Find the centroid of the region in the first quadrant that is bounded above by the lines y = 2x and…

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Q: Find the centroid (7, y) of the region bounded by: y = e", y= 0, x = 0, and r= 4. x = y =

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Q: Find the exact coordinates of the centroid for the region bounded by the curves 3x+2y=6, y=0, and…

A: to find the exact coordinates of centroid centroides are (x-,y-) x- =1area∫abxf(x)dx y-…

Q: Find the centroid of the region bounded by y=x² and y=3.

A: Solution:Given    y=x2  and =3To find centroid of the region bounded by the…

Q: Find the centroid (¯x,¯y)(x¯,y¯) of the region bounded by: y=2x^2+2x,   y=0,   x=0,   and   x=4

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Q: Find the centroid of the region R enclosed between the curves y = x²and y = x + 6.

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Q: Find the centroid of the region bounded by the givencurves. y = sin x ,   y = 0  , x = π/4  , x =…

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Q: Find the centroid (ã, g) of the region bounded by: y = 9x? + 6x, y = 0, x = 0, and z = 9

A: Re

Q: Find the centroid of the region that is bounded above by y=lnx and below by the x axis, from x= 1 to…

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Q: Find the centroid of the region bounded by the given curves: y = 1 + 2x2 ; y = 3 ; x = 0

A: To find the centroid of the region bounded by curves: y=1+2x2,y=3,x=0 The bounded region is:

Q: Find the centroid of the region bounded by the parabola y=x? and the line y=4.

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Q: Find the centroid of the region bounded by the given curves. y = x3,    x + y = 2,    y = 0

A: The given curves are:  y=x3,x+y=2,y=0

Q: Find the centroid (¯x,¯y)of the region bounded by: y=4x2+7x, y=0,   x=0,   and   x=3 ¯x=    ¯y=

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Q: Find the centroid of the region bounded by the given curves. y = x3,    x + y = 10,    y = 0

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Q: Determine the coordinates of the centroid of the area bounded by the lines x = 6, 5x = y, 3x + 5y =…

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Q: Find the exact coordinates of the centroid for the region bounded by the curves y=sqrt(x) and y=x.

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Q: Find the centroid of the region bounded by the given curves. x + y = 30, y = 0 1) y = x³, x+y= (x,…

A: Given y=x3 x+y=30 and y=0

Q: Find the centroid of the plane area bounded by the parabola y = 6x - x² and the line y = x

A: To Find: The centroid of the plane area bounded by the parabola y=6x-x2 and the line y=x

Q: Find the centroid of the region in the first quadrant bounded by the given curves. y = x?, x = y7…

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Q: Find the centroid of the region bounded by the curves y = 4 and y = x2. %3D

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Q: Find the centroid of the region bounded by the curve y= cos x , x=0, y= 0 and x = π/2.

A: we have to find the centroid of region bounded by curves y= cos x , x=0, y= 0 and x = π2

Q: Find the centroid of the region bounded by the given curve. x = 5-y2 ; x = 0

A: To find the centroid of the region bounded by the given curves x=5-y2;x=0.

Q: Find the centroid of the region bounded by the curve (y – 1) = x – 1 and the lines y = -1 y=2 and x…

A: NOTE:-  According to the guidelines of company only 1 question can be answered at a time please…

Q: Sketch the region bounded by the curves, and visually estimate the location of the centroid. y = e*,…

A: The curves are y=ex, y=0, x=0 and x=4. The region is sketched as follows: m=kAm=k∫04exdxm=k(ex)04…

Q: Find the centroid of the region R enclosed between the curves y =x² +2 and y=x+8.

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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.