A volume is described as follows: 1. the base is the region bounded by y = 2 -x² and y = 0 2. every cross section parallel to the x-axis is a triangle whose height and base are equal. Find the volume of this object. volume =

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: 2. A certain solid has a rectangular cross section perpendicular to the x-axis. As the solid extends…

A: To find- volume of the solid.

Q: Find dimensions oand maximum volume of a right circular cone that must be inscribed inside a sphere…

A: Let the right circular cone of largest volume inscribed inside circle is as shown below. let O be…

Q: Let A be an m x n matrix, and let B and C have sizes for which the indicated sums and products are…

A: If the product AB is defined, the entry in row i and column j of AB is the sum of the products of…

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: If the temperature at which a certain compound melts is a random variable with mean value 115°C and…

A: We have to solve given Questions.

Q: post office sells 4-cent sheep stamps and 2-cent sunset stamps. Cole bought 5 stamps spent exactly…

A:

Q: A volume is described as follows: 4 x² and y = 0 25 1. the base is the region bounded by y = 4- 2.…

A: Given the base region is bounded by y=4-425x2 and y=0. ymax=4-425x2max=4 From y=4-425x2 ,x = ±524-y…

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: You are given a sphere of radius 2. A hole of radius b (b < 2) is drilled through the center of the…

A: Follow the procedure given below.

Q: A volume is described as follows: 1. the base is the region bounded by y = 8-2² and y = 0 2. every…

A: The base is the region bounded by y=8−12x2 and y=0. Every cross section parallel to the x-axis is a…

Q: Set up the volume when the region is revolved about the . x-axis (use vertical strips) - y-axis (use…

A: Assume that, we have given a region represented by y=fx or x=g-1y The volume when the region is…

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.