Find the integral surface of the linear pde (x-y)p-(x-y+z)q=a Which contains z=1 and x^2+y^2=1

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 solid bounded by x² = 4y and y = 5x - x² about the x-axis.

A: We will draw the region and rotate it about x-axis to create a solid of revolution . We will need…

Q: Find the centroid of the area bounded by the parabolas x2=2y and x2-2x+2y=5.

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Q: Find the area and centroid bounded by y^2 =12-3x and y=3x. Graph

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Q: Compute the surface area of the solid of revolution formed by rotating the bounded region formed…

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

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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 (, y) of the region bounded by: y = 6x2 +9x, y 0, a = 0, and x = 1.

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Q: Find the centroid of the region bounded by y = 9 – x² and the x-axis.

A: Given, y=9-x2or let fx=9-x2and x-axis y=0or let gx=0

Q: Compute the surface area of the solid of revolution formed by rotating the bounded region formed…

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Q: Find the centroid of the region in the first quadrant bounded by the given curves. y = x7,    x =…

A: Given, y = x7,    x = y7

Q: parabola

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Q: Find the centroid of the region bounded by the given curves y=8sin 5x, y=0, x=0,x=  π/5

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Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = 4x³.

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Q: Find the centroid of the region above the X axis that is bounded by the Y axis and the line Y = 3 -…

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Q: Find the centroid of the region cut from the first quadrant by the curve y = 1/sqrt(x + 1) and the…

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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: .Determine the distance from the y-axis of the centroid of the area bounded by the curve y = x³, the…

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

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. 3. y = 12 – 3x²,…

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Q: Find the centroid of the region bounded by the given curves. у %3D 2х — 1, y = x² – 1 -

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

A: To find the centroid

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 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 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 centroid of the region bounded by the parabola y= 8x and the line y=2x. O (0.8,2) O (1,4) O…

A: We need to find centroid of the region.

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: Compute the surface area of revolution about the x-axis over the interval [3, 5] for y = 2x + 4.

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Q: Evaluate the integral hipxp hx^ 7 and the hyperbola ry = 13. where R is the region bounded by the…

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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 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 area and centroid bounded by 2x^2+4x+y=0 , y=2x. Graph

A: The region bounded by the curves 2x2+4x+y=0 & y=2x is as shown below.

Q: + 1 -оу-х -oy=x2

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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: 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: 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 area of the region cut from the plane x + 2y + 2z = 5 by the cylinder whose walls are x =…

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

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

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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 bounded by the parabola y=x2 and the line y=4.

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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 exact coordinates of the centroid of the region bounded by the given curves. y = x + 56, y = x2…

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Q: Find the centroid of the region bounded by these curves. y=2x+4, y=2x2

A: Consider the provided curves, y=2x+4 and y=2x2. Find the Centroid of the region. Now, the graph of…

Q: Find the centroid of the region bounded by the graphs of the equations using any method y = √(1 −…

A: Consider the given equations y=fx=1-x2y=gx=0 First, find the point of intersection of the given…

Q: 2

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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: Find the volume of the solid formed when the area of the region bounded by the curves x²- 3y-5 and…

A: Solution

Q: 2. Determine the centroid of the area bounded by the curves y = 4x + 16, x = -2, x = 5 and x-axis.

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Q: Find the centroid of the region bounded by y = 4x-x and y=-x.

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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.