10 1 -2 The graph above shows the base of an object. Compute the exact value of the volume of the object, given that cross sections (perpendicular to the base) are equiangular triangles. V =

Q: Find the volume of the following solids using either disks/washers or cylindrical shells. a. Region:…

A: The region is  rotated about the x-axis is as follows:To Find:The volume of the solid using the disk…

Q: Region R is in the zy plane. Let the volume of a solid be made of cross sections perpendicular to…

A:

Q: A volume is described as follows: 1. the base is the region bounded by x = -y² + 6y + 119 and x =…

A:

Q: A volume is described as follows: 1. the base is the region bounded by y - 2. every cross section…

A: Given: Base of the region bounded by the curves y=e3.2x y=3.2x2+0.1 x=1 Note that, each cross…

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

A:

Q: A volume is described as follows: 5 1. the base is the region bounded by y = 5 – a and y = 0 9 2.…

A: Volume of the region,

Q: 3. Calculate the volume of the object below by using Pappus-Guldinus theorem (Centroid of a quarter…

A: Finding the equation and region: Pappu's Theorem for volume: Volume=2π(area) (distance of Centroid…

Q: ind the volume of the "spherical cap" shown in the diagram. The sphere has a radius r, and the "cap"…

A: We have to find volume of cup.

Q: Solve using method of undetermined coefficients: y" + y' - 2y = x². %3D

A: Solution :-

Q: R is the region bounded by y = 4 – x² and the x-axis and it is revolved about y = 4.

A: Given that, R is the region bounded by y=4-x2 and the x-axis and it is revolved about y=4

Q: A volume is described as follows: 3 1. the base is the region bounded by y = 3 16 2. every cross…

A: Given that the base is the region bounded by                                       and .and every…

Q: A volume is described as follows: 1. the base is the region bounded by x 2. every cross section…

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.