Q3/ Determine the coordinates of the centroid of the area lying between the curve y = 5x -x and the x-axis.

Q: 5. Locate the coordinates of the centroid of the first quadrant area bounded by the parabolas y = 4…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the centroid of the region bounded by the graphs y = x2 and y = 5x + 6. NOTE: Enter the exact…

A:

Q: Determine the distance of the centroid from the x-axis for the area bounded by the curves y?=4x, x-0…

A:

Q: Find the centroid of the region bounded by the graphs of y = x² and y = 64. NOTE: Enter the exact…

A: Centroid of the curves

Q: Find the centroid of the area bounded by the curves 2x + y = 6, x = 0 and y = 0.

A:

Q: Find the centroid of the region bounded by the line y = x and theparabola y = x sq

A: where A = area

Q: Find the centroid of the region bounded by y² = NOTE: Enter the exact answers. 16x and y² = 32(x −…

A:

Q: Find the centroid of the solid formed by revolving about ox the area bounded by y^2=2x and the line…

A:

Q: The region bounded by y = v9– x² and y = 0 has an area of . Find the y-coordinate of its centroid.

A: Suppose the region is bounded by fx and gx on a,b where fx≥gx .Assume centroid is denoted by x¯,y¯…

Q: Find the centroid of the region bounded by the graphs of y = x2 and y = 4. NOTE: Enter the exact…

A:

Q: 2) y=x y=4-3x 21

A: Given:   Curves y=x4 and y=4-3x2   We start finding their point of intersection.        x4=4-3x2…

Q: find the centroid of area region bounded by y=x^3, y=4x

A:

Q: Find the centroid of the region bounded by y = 9 − x^2 and y = 0

A:

Q: Find the area of the region bounded by the curve y = Vz – 1, the y-axis and the lines y = 1 and y =…

A: See the details solution in below

Q: Find the centroid of the region that is enclosed between: y = x and y = 2 – 2?.

A: Let fx=2-x2, gx=x. Find the intersections. fx=gx2-x2 =x2-x2…

Q: Find the area and centroid bounded by y= 2(1-x^2), y=x^2-1. Graph.

A:

Q: Find the centroid of the region bounded by the curves: y = 2x – x² and y = x

A: Let, is the centroid of the region which is bounded above by the curve y=f(x) and below by the curve…

Q: Find the centroid of the region bounded by y = 28x and y = 56 (x – 14). Enter the exact answer as a…

A: Given: The regions bounded by y2 = 28x  and y2 = 56(x-14). To determine: The Centroid of the region…

Q: Find the centroid of the area bounded by the curves y = x^3, x = 0 and y = 8

A:

Q: Find the centroid of the area of the region bounded by the curves y 2x+1; x+y=D7 and x 8?

A: given, curves y=2x+1 , x+y=7 and x=8 claim- find the centroid of the area of the region bounded by…

Q: Find the centroid of the region bounded by the graphs of y = x² and x + y = 6. %3D NOTE: Enter the…

A: The formula of the centroid of the region bounded by the curves is given by: x¯,y¯=Mym,Mxm where…

Q: Find the centroid of the region bounded by the graphs of y = x² and x + y = 506. NOTE: Enter the…

A: Centroid of the region y=f(x) and y=g(x) on [a,b] :            x¯ = 1A ∫ab xfx-gx dx  and   y¯ =…

Q: Find the centroid of the region bounded by the graphs y = x² and y = x + 12. NOTE: Enter the exact…

A:

Q: Find the area and centroid bounded by y=-x^2+6, y=x^2+3x. Graph

A:

Q: Find the area and centroid bounded by the curve x=3y-y^2 and the line x+y=3. Graph

A:

Q: Find the centroid (x, y) of the isosceles, right triangle whose boundaries are the two coordinate…

A:

Q: A plane area is bounded by the lines y = x, y = -x, and x = 10. By integration, determine the…

A:

Q: Find the centroid of the in-finite region in the second quadrant enclosed by the coordinate axes and…

A:

Q: * Find the centroid of the area bounded In x by y = the x-axis. and the moximum ordinate revolved…

A:

Q: Locate the Centroid of the area bounded by the x-axis, the line x=4, and the parabola y2 = x.

A: We have to find the centroid of the area bounded by curve.

Q: Find the area M and the centroid (š, §) inside curves 12 y = x. ' = 2-x, j' = {) (triangle)

A:

Q: Find the centroid of the region bounded by the curves: 2y - y and the y-axis |

A:

Q: Locate the centroid of the volume bounded by the equation y^2 = 4x, x = 1 and the x-axis and…

A: The solid is symmetric figure , the centroid lies on the x axis. The y and z coordinates are 0.

Q: Determine the ordinate of the centroid of the area bounded by the curve x^2 =8y and the line 2x-y=0

A: Given curves are x2=8y and 2x−y=0. We have to find the ordinate of the centroid of the area bounded…

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

A:

Q: Find the centroid of the region bounded by the curve f(x)= x3 on [0,2] and the x-axis.

A:

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

A:

Q: Find the abscissa(x) of the centroid of the area bounded by the curves:  y=x2 ,  x=4 and the x axis

A: First, find the area bounded by the curve, y=x2 and the line, x=4, using the formula, A=∫abf(x)dx.…

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

A: Given curve is y2=x and y=x−2. We have to find the centroid of region bounded by y2=x and y=x−2. The…

Q: Find the centroid of the region bounded by the parabola y=x2 and the line y=4.

A:

Q: Find the center of mass of the region bounded by the curves y=4x-x2 and the x-axis

A: Center of mass is given by- x^=1A∫abfx-gxdxy^=12A∫abf2x-g2xdx Where  A=∫abfx-gxdx

Q: Find the Centroid of the region bounded by the graphs of: y = x^2   y=x+6                Integral…

A: GIVEN: y = x2 y = x + 6

Q: Find the abscissa of the centroid of the region between the parabola y = 6 − x2 and the line y = 1 −…

A:

Q: Find the area and centroid bounded by y= 6-x-x^2, x-axis. Graph

A: The area bounded by the given curve y=6-x-x2 ay the x-axis , that is y=0, is:

Q: Find the abscissa of the centroid of the region between the parabola y = 9 − x^2 and the line y = 1…

A:

Q: Find the centroid of the area bounded by the curves y^2=x and x=4.

A: Draw the graph.

Q: Determine the area and centroid bounded by the curves: y = 6x – x² and y = x? – 2x.

A:

Q: find the coordinates of the centroid of the plane area bounded by the parabola y=4-x^2 and the…

A:

Q: Find the centroid of the region bounded by the graphs of y = x2 and y = 4. NOTE: Enter the exact…

A: Find the centroid of the region bounded by the graphs of          y=x2 and y=4

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.