Determine the volume of the solid formed by revolving the area bounded by Y- = 4ax_and x= a around x=9.1. (answer only, use 2 decimal places, no space. Unit is not needed.

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

A: find the volume of the solid generated by revolving the area bounded by the given curves about the…

Q: Apply integration technique to find the volume generated by revolving the area bounded by the…

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Q: Find the volume of a right circular cone with height 18 and base radius 9 using integration. (Disk…

A: Solution:- by using disk washer formula

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: Determine the volume of the solid formed by revolving the area bounded by x2 = 4y– 4, x= - 2, x=3…

A: Given region R is bounded by x2=4y-4x=-3x=3 Region R is shown below

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: Find the volume generated by revolving the area bounded the lines x+y=6, x=0 and y=0, about x-axis.

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Q: Determine the volume of the solid formed by revolving the area bounded by y= x, y=0 and x= 3 about…

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Q: The volume generated by revolving the area bounded by the curve y = x² and y = 4 around the line y =…

A: We can use the formula π∫abR(x)2dx to evaluate the volume.

Q: Determine the volume of the solid formed by revolving the area bounded by y = 4ax and x= a around…

A: Consider the given curve as y2=4ax

Q: Find the volume of the solid of revolution formed by rotating the area under y=9-x2 over [0, 3]…

A: Given curve is y=9-x2 ,[0,3]

Q: Find the volume of the solid cut from the first octant by the surfacez = 4 - x2 - y.

A: Consider the given surface  z=4-x2-y The domain is restricted by the first quadrant x≥0,  y≥0 The…

Q: Find the volume generated by revolving the area bounded by y = x? – 2x + 3, and y = 3 about the line…

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Q: Find the volume of the solid generated by revolving about the x-axis, the area bounded by y = x3,…

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Q: y = 9x² and y = 0 about x = −4

A: Given:        y=9-x2 and y=0         x2=9           x=3 about x=-4

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 formed by rotating the area between the square with a side length of 2…

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Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y 1, and the…

A: Here, to find the volume of the solid whose base is the region in the first quadrant bounded by…

Q: Find the volume generated by revolving the area bounded by y = x3 – x2 , x-axis, about y-axis by…

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Q: Find the volume generated by revolving the area bounded by the curve y = (1 − x2)2 and the x-axis…

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Q: Find the volume generated by revolving the area bounded by the lines x+ y= 5, x = 0 and y = 0, about…

A: Since you have asked multiple questions, we will do the first question for you. To get the solution…

Q: Find the volume of the solid generated when the region enclosed by y = root(x+3), y = root(3x+1),…

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Q: Find the volume generated by revolving the area bounded by the lines x+y = 5, x = 0 and y = 0, about…

A: Find the volume generated by revolving the area bounded by the lines x+y=5, x=0, y=0, about the…

Q: Find the volume of the solid generated by revolving the region bounded by x= square root (1-y^2) and…

A:

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 formed by revolving the region bounded by the graphs of y=x^2 and…

A:

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 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: 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: Sketch the solid whose volume is given by the following triple integral: -2x VE)= rdzd0 dr. Convert…

A: This given integral is in cylindrical coordinate..  Using the relationship between cylindrical and…

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

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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 generated by revolving the region bounded by y=sqrtx and the lines y=2…

A: The graph of the region is shown below:

Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotat…

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Q: Sketch the solid whose volume is given by the integral in the paper.

A: Given :                 The function is z = 1 - x - y            The region D is enclosed by the…

Q: Determine the volume of the solid formed by revolving the area bounded by x2 + y? = 25 and x + y=5…

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

A:

Q: Find the volume of the solid. y=9-x2, y=0, about the x-axis

A: The given solid is bounded between the curve y=9-x2, y=0,  rotating about the x-axis. Volume of the…

Q: Find the volume generated by revolving about the y-axis, the area bounded by x² + y² = a² and x+y =…

A: To find the volume of solid which is generated by  x2+y2=a2 and x+y=a when revolved around y-axis.

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 the solid generated by revolving about the line y = 0 the area bounded by x + y =…

A: We know that if the area bounded by the curve y=f(x) , the line x=a and x=b and X axis , is rotated…

Q: By using circular washer method, find the volume generated by revolving the area bounded by y = x, y…

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Q: Find the volume of the solid generated by revolving the shaded region about the y-axis. y 3

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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: ) Find the surface area of the closed circular cylinder of greatest volume that can 5.(Total. be…

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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.