Find the volume of solid generated by revolving the traingular region bounded by the curve y=4/x^3 and lines x=1 and y=1/2 about the y axis

Q: Find the volume of the solid generated by revolving about the line x = 3 and the region is bounded…

A: To find the volume.

Q: Find the volume of the solid generated by revolving the region bounded by y = 4x - x and y = 0 about…

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Q: Find the volume of the solid generated by revolving the region bounded by y=6x−x^2 and y=0 about the…

A: Given : region is bounded by y=6x-x2 and y=0 To find : volume of the solid generated by revolving…

Q: Find the volume of the solid generated by revolving about the line y=-1 the region bounded by the…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Given curve is y=8x2 limits for integration are x=1 and the x-axis. The volume is given as…

Q: Find the volume formed by rotating the region above the curve y=x^3 and under line y= 1 about…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Volume of the function y=fx, a≤x≤b generated by revolving the area  about x axis is given by…

Q: Find the volume of the solid generated from revolving the region bounded by: y=x^3 y=0 x=3…

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Q: find the volume of the solid generated by revolving the region bounded by y =sqrt x, y =x-2 in the…

A: According to the given information, it is required to find the volume of the solid generated by…

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: As per the guidelines i am solving first question. 1. Consider the given curves, y=x2, x=3 and y=0.…

Q: Find the volume of the solid generated by revolving the finite region bounded by the curves y= x^2+1…

A: Consider the provided question, We have to find the volume of solid generated by revolving the…

Q: Find the volume of the solid obtained when the region under the curve y = xV4-x2,0 < x < 2 is…

A: The volume of solid revolution V=∫abπfx2-gx2dx fx=x4-x2 where, a=0 and b=2

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

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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 the volume of solid generated by revolving the region bounded by the lines y = 0, x = 2 and…

A: We have to find the volume of solid bounded by given region revolving around X-axis.

Q: Find the volume of the solid generated from revovling the area of the region bounded by the curve y…

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Q: Find the volume of solid generated by revolving the region bounded by the curve y-4/x' and the lines…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the volume of the solid generated by revolving the region bounded by the curves y = 1 – |x| and…

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Q: Find the volume of the solid of revolution formed by rotating about the x-axis each region bounded…

A: Given : The bonded region by the curves are : f(x)=1-x2 and y=0 The axis of the rotation is about…

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 the region bounded by curves and lines in y =2x,…

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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 x= square root (1-y^2) and…

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Q: Find the volume generated by revolving the area enclosed by the curve x2 + y2 = 25 about the line y…

A: Explained below

Q: Find the volume of the solid obtained by rotating the region bounded by the curve y 3 - z and x-axis…

A: The volume for solid of revolution for the curve x2=3-y around x=0 on interval 0, 1:The volume for…

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Explanation of the answer is as follows

Q: Find the volume of the solid generated when the area bounded by the curve y = square root of x,…

A: Find the volume of the solid generated when the area bounded by the curve y=x, y-axis and the line…

Q: Find the volume of the solid generated by revolving the region bounded by the curves y=x and y=4x –…

A: TTt

Q: Find the volume of the solid generated by revolving the region bounded by the graphs 5) y = x, y =…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the volume of the solid formed when the region bounded above by the curve y =sqrt( x +1), y = 1…

A: We need to first plot all the equations given to us to roughly understand the region being talked…

Q: Find the volume of the solid generated by revolving the curve y=3vx between x = 0 & x = 3 about the…

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Q: Find the volume of the solid obtained by revolving the region bounded by: ソ=x ソ=4 about the line X=4

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Q: Find the volume of the solid obtained by revolving the region bounded by the curve y=1 / (1−sinx)…

A: We have given a region bounded by the curve y=11-sinx, 0≤x≤π3the region is show in the graph-

Q: The area bounded by the line x=1 and the curve y^2-x=3 is revolved about the line y=4. Using Shell…

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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 obtained by rotating the region bounded by the given curves about the…

A:

Q: Find the volume of the solid generated by revolving the region bounded by y=sqrtx and the lines y=2…

A: The graph of the region is shown below:

Q: Determine the volume of the solid obtained by the revolution of the region bounded by the curve y =…

A: We can find the volume by taking the integration with respective limits as below

Q: Find the volume generated by the region bounded by the curve 4x = y² and the line x - 4 = 0, rotated…

A:

Q: Find the volume of solid obtained by rotating the region bounded by given curves about specified…

A:

Q: find the volume of solid generated when the regions enclosed between the curves y=x^2 and x=y^2 is…

A: Given curves, y=x2andx=y2 To find the volume of solid generated by these curves about x - axis.

Q: Find the volume of the solidgeneruted by revolving the region between the x-axis and the curve…

A: We first find where y=x2-2x and x-axis meets.x-axis means y=0.So, 0=x2-2xor, 0=x(x-2)or, x=0, 2 The…

Q: Find the volume of the solid of revolution formed by rotating about the x-axis each region bounded…

A: fx=2-x2,  y=0 Put fx=0, we get 2-x2=0⇒x2=2⇒x=±2 Therefore the parabola fx=2-x2 meets the x-axis at…

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…

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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: Find the volume of the solid generated by revolving about x-axis, the region enclosed by the curve y…

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Q: Find the volume of the solid formed by rotating the region between the y=sqrt(x)curve  y=2 line and…

A: The volume of the solid of the revolution can be calculated using integration. The formula for the…

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.