Find the volume of the solid formed by revolving the region bounded by y = 6x – x and y= 0 about the x-axis. 1296 Tt units3 259.2 units3 36TT units 36 units3

Q: Find the volume by revolving the region of the curve xy = 6 from x = 2 to x = 4 about the x-axis. *…

A: volume of the required region is sum of area of disc from x=2 to x=4dA=π6x2 is the area of the disc…

Q: Find the volume of the solid that results when the region enclosed by x = y and x = y is revolved…

A:

Q: Find the volume of the torus formed by revolving the circle x²+y2=1 about the line x-4. 25.13 cubic…

A: We have to find the volume of torus formed by revolving the circle x2+y2=1 about the line x = 4. To…

Q: A region in the first quadrant, bounded by y = x² +1 and y= 9– x² part A Compute the area. Compute…

A: Solution :-

Q: Find the volume V of the solid obtained by rotating the region enclosed by the curves x = 5y2 and x…

A: first we need to identify the region which is enclosed. Then setting up the integral with right…

Q: Find the area of the region enclosed by the curves between their intersections. y = 4x2 and y = Vx

A:

Q: * Find the volume of the object formed by rotatis between the X-axis and y= fcx) = 10 - the region…

A:

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.