5/ Find the volume of the solid generated by revolving enclosed by y=x, y=0, x-1 about 1) y-axis

Q: Find the volume of the solid Formed by revolving the bounded by the graphs oF fox) =v9-X, y-axis %3D…

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs of the equations…

A: Given: y=x2+5, and y=9 To Find: Volume of the solid formed by revolving the region bounded by the…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Given, x=3 y=0 y=3-x2

Q: Find the volume generated by revolving the region bounded by y=−x^4+3x^3, y=0  revolving about the x…

A: The given problem is to find the volume generated by revolving the region bounded by given curves…

Q: Find the volume of solid generated by revolving te area enclosed by : x=y²+1, x=0,y=0 and y=2 about:

A:

Q: Determine the volume of the solid formed by revolving the area bounded by y² = 4x and x²= 4y about…

A: It is given that, y2=4x⇒y=2xand4y=x2⇒y=x24   Volume of solid formed by revolving the area bounded by…

Q: 2) Determine the volume of the solid obtained by revolving the region bounded by y = 2x², y = 8, and…

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Q: 8. Find the volume of the solid generated by revolving the region enclosed by y = 2 sinx and y = 0…

A: Use the cylindrical method to determine the volume of the region. Substitute the function and limits…

Q: 5. Find the volume generated by revolving the region bounded by y = 9- x2 and y = 0 about the…

A: Given: The region bounded by y=9-x2 and y=0 is revolved around x axis. Let the bounded region be R.…

Q: What is the exact volume of a solid that is formed by rotating the ,2 region bounded by g (x) = x² +…

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Q: Find the volume of the solid generated by revolving the region between y = 4 – x2 and y = -x + 2…

A: The given regions are, y=4-x2 and y=-x+2 and the given line is, x=44-x=0 We can write the given…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: y = ex/4, y = 0, x = 0, x = 6

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

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Q: 3) Determine the volume of the solid obtained by revolving the region bounded by 2x + y – 6 = 0, x-…

A: Volume of revolution

Q: Find the exact volume of the solid generated by revolving the region bounded by the given curves…

A: We first sketch the graph using a graphing calculator.

Q: Find the volume generated by revolving the region above the curve y=x3 , under the line y=1, and…

A: Figure of y=x3 , y=1 and x=1

Q: find volume of solid 3x^2 ,x=1, y=0 about x axis

A: Consider the region bounded by the curves y=3x2,x=1,y=0 as shown in the figure below: Here, the…

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

A: Given: y=5x2, y=0, x=0 & x=1.8 From the given line and curves the bounded region is as shown…

Q: 5. Find the volume of the solid generated by revolving about y axis, the area bounded the y=(x²-4)²…

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Q: ) Find the volume of the solid formed by revolving the region bounded by the cu y = √9-x² and y = 0…

A: To Find:  Volume of the solid formed by revolving the region bounded by the curve       y = 9 - x2 ,…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: First we graph the region using a graphing calculator  the shaded region is rotating about the y=48…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs of the equations…

A: Find out the volume of the solid formed by revolving the region bounded by the graphs of the…

Q: A solid is generated by revolving the region bounded by y = √ 9 - x2) and y = 0 about the y-axis. A…

A: According to the given information, y=9-x2 and y=0 about the y-axis. The figure is shown below:

Q: Find the volume of solid generated by revolving the area bounded by y = 8x and y = 2x about the…

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Q: Find the volume of the solid generated by revolving about the x − axis the area bounded by y = x 2 ,…

A: Follow the steps.

Q: Find the exact volume of the solid generated by revolving the region bounded by the given curves…

A: We will do it by calculation

Q: . Find the volume of the solid generated by revolving the region bounded by y = vx-1, y = 0 and the…

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Q: Find the volume of the solid generated by revolving the region bounded by y =4(sqrt(sin x))​, y = 0,…

A:

Q: Find the volume generated by revolving the region bounded by y=sec(x), y= 3, x=pi/4, x=-pi/4, about…

A: Graphical representation of the region.

Q: Find the volume generated by revolving about the y-axis the area bounded by the curve x2 = 4(x-y),…

A:

Q: Find the volume of the solid formed by revolving the region bounded by y=1/2x^3, y=0, and x=3 about…

A: Given:

Q: 3. Find the volume of the solid of revolution formed by revolving the region bounded by y = x - x³…

A: To find out the volume of revolution.

Q: Find the volume of the solid generated by revolving the region bounded by the graph 1 4x -x4, the y-…

A:

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of the equations…

A: Given y=x ,y=0 ,x=2

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

A: To find the volume of region generated by revolving the region bounded by the curve y=2x2,y=0,x=0…

Q: Find the volume of the Solid generated by revolving the region bounded by x = (1- y). x= 2,/y and…

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Q: Find the volume OF the solid Formed by revolving the region bounded by the graphr of x- -y't 4y, and…

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Q: 8. Find the volume of the solid generated by revolving the region bounded by the curve y = 4 – x²…

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Q: 1. y = 2x2 – 2 and y = x² + x

A: Given:     fx=y=2x2-2      gx=y=x2+x   Volume of solid generated by revolving about x-axis is given…

Q: Find the exact volume of the solid generated by revolving the region bounded by the given curves…

A: From the formula of the region  rotating about a line parallel to y axis.( Disc method) after doing…

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

A: Let's find.

Q: Find the volume of the solid generated by revolving the region bounded by y = 8x - x and y = x about…

A: Given curves are                                              y=8x-x2y=x…

Q: Find the volume of solid formed by revolving region by f(x)=x^(2/3), x=0, y=0, y=1 about the y-axis.

A: Given:

Q: Find the volume of the solid generated by revolving the region bounded by the y² = x and x = 1- y²…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

A:

Q: Find the volume of the solid generated by revolving the region between the y-axis and the curve x =…

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Q: Find the volume generated by revolving about the line x – 4 = 0 the area bounded by the curve x^2 =…

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Q: What is the volume of the solid generated by revolving the region bounded by y = x², y = 0 and x = 2…

A: Please see the answer below.

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.