Q3/ Find the volume of the solid generated by revolving the region bounded by y = 3/(2/x) , y = 0 & 1< x<4.

Q: Find the volume of the solid generated from revolving the region bounded by y=7-x^2 and y=x+5 about…

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Q: Find the volume of the solid obtained by revolving the region bounded by the graph of f (x) = 2/x…

A: Please refer the attached image for complete solution.

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 generated by revolving the region in the first quadrant bounded by the…

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Q: Find the volume of solid generated when area bounded

A: Given: The area bounded by  y=x2 and y=x is revolve about x=2.

Q: Find the volume of the solid obtained by revolving the region between the graphs of y = x² and 3x…

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Q: Find the volume of the solid formed by revolving the region bounded by f(x) = Vsin x and the x-axis…

A: About x-axis,

Q: Find the volume of the solid generated by revolving the region bounded by the |2x| about the x-axis.…

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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: Geometry problems Use a table of integrals to solve the following problems.

A: Given Data The equation of the region is y=1x+4. The interval on x-axis is [0,12].   Arrange the…

Q: Find the volume of the solid generated by revolving 2. the region bounded by the curve y=2x and the…

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Q: Find the volume of the solid generated by revolving the region bounded by 1 about the line x = 3…

A: Given equation y=x2-2x+2 and x=0, x=1, y=1 about the line x=3

Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded by the…

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

Q: Determine the volume of the solid formed by revolving the area bounded by y= x- 2x and y=0 about the…

A: The volume of the solid formed by revolving the region bounded by the curve y=f(x)and the x−axis…

Q: The region bounded by the curve y = x², axis, and the line x = 2 is revolved about the y-axis. What…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = −10+ 6x - x², x = 1 and…

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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: Determine the volume of the solid formed by revolving the area bounded by X+y-6 = 0, y=3 and x=0…

A: The solid formed by revolving the area bounded by x+y-6=0, y=3 and x=0 about the y-axis.

Q: The region bounded by the curve y =x and the x-axis between x=0 and x = 1 is revolved around the…

A: It is given that, the curve y=x2 and the axis between x-0, x=1 is revolved aroud the line y=1We have…

Q: Determine the volume of the solid generated by revolving about the x-axis the region bounded by the…

A: According to the Disk method, the volume of the solid generated by revolving about the x-axis the…

Q: Find the volume of the solid of revolution  obtained by revolving the region bounded by y=x-x2 and…

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Q: Use the method of your choice to find the volume of the solid generated by revolving the region…

A: The equations of two functions are given by, x-9+y2 = 0 and x = 0. The objective is to find the…

Q: Find the volume of the solid formed by revolving the region bounded by y=6x−x2,y=0 about the x-axis

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Q: The region enclosed by the graph of the lines; y = lnx, y = 0,x = 0 and y = 1 is revolved about the…

A: The region is y=lnx, y=0 and x=0 and y=1 It is revolved about x=axis,  To find the volume of the…

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = x and y =…

A: Given: y = x,  y = x2  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 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 the graphns y=1-x² and y-0…

A: The volume of the solid generated by the revolution of the area can be found by the integration. The…

Q: Find the volume generated by revolving about the line x – 4 = 0 the area bounded by the curve x2 =…

A: Given : x²=8y and line y-2=0 Revolving about x=4

Q: Find the volume of the solids generated by revolving the region bounded by the function y = x³ on…

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Q: Q3: Calculate the volume of the solid obtained by rotating the region bounded by the curve y = 2x -x…

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Q: Find the volume of the the solid formed by revolving the region bounded by y=5-x; y=0; about the…

A: Integration of function expression with respect to variable x or y gives the area between function…

Q: Find the volume of the the solid formed by revolving the region bounded by y=5-x; y=0; about x-axis.…

A: Double integrating the region or integrating the area of a region gives the volume. Use proper…

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

A: The volume (V) of a solid generated by rotating the region bounded by y=f(x) and the x‐axis on the…

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

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Q: Compute the volume of the solid formed by revolving the region bounded by y 11-x, y 0 and x=0 about…

A: The answer is given below:

Q: Find the volume of the solid revolving the region bounded by the graphs of the equation the line y=8

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

A: Topic = volume

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: 3.Find the volume of the solid formed by revolving the region bounded by the graph of f(x) = vsin x…

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Q: Find the volume of the solid generated by revolving the region bounded by the curves x 12(y² - y)…

A: Given curves are                                                    x=12y2-y3x=0 rotating about…

Q: Find the value of the volume of solid region of bounded by  X^2 +y^2 =9 Z=sqrt (36 - x^2 - y^2)

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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: Determine the volume of the solid generated when the region bounded by the curve y² = x³, x = 2 and…

A: If is a function, then the independent variable x is called the input of the function and the…

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

A: Solution is given below

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 between the y-axis and the curve x =…

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Q: Compute the volume of the solid formed by revolving the region bounded by y = 13 – x, y= 0 and x = 0…

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Q: Compute the volume of the solid obtained by revolving around the y = -1 by 27 (i.e. a full rotation)…

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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.

Q: find the volume of the solid formed by revolving the region bounded by y = sinx and the x-axis from…

A: From the volume of solid formed by rotating the given function y

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.