A solid lies between planes perpendicular to the x-axis at x = 0 and x= 19. The cross-sections perpendicular to the axis on the interval 0

Q: on oil producer the shape об is to have What the Surface Surface orea is a fixed Value for the H…

A:

Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

A:

Q: 6. Find the total area between the region and the x-axis y = -x² – 2, –3 < x < 2 %3D

A: Find the zeroes of the function as follows. y=0-x2-2x=0x-x-2=0x=0, x=-2  The zeros divide the…

Q: Determine the diameter of a hole that is drilled vertically through the center of the solid bounded…

A:

Q: The base of S is the region enclosed by the parabola y = 9 - 9x and the x-axis. Cross-sections…

A: Area of triangle =1/2 *base * height

Q: onsider the tetrahedron (a 4-sided pyramid whose faces are all triangles) with vertices at A = (1,…

A: Given vertices of the tetrahedron :  A = (1, 0, 0), B = (0, 2, 0), C = (0, 1, 3), and D = (2, 2,…

Q: Question Find the volume of the solid whose base is in the first and second quadrant(s) bounded by y…

A: Given equation is y=32-8x2and the x axis.  To compute the volume.  The formula for cross section…

Q: The base of a three-dimensional figure is bound by the x-axis and the line y = -2x + 3 on the…

A:

Q: A volcano and z = x² + y² fills the volume between the graphs z = 0 1 ²+2), and outside the cylinder…

A:

Q: A solid lies between planes perpendicular to the x-axis at x = 0 and x = 19. The cross-sections…

A:

Q: 127 = 2x - 4x, and y = 0 where x and Find the area of the region bounded by y = x, y y are measured…

A: Given the curves:

Q: A triangle with vertices of (0,0), (0,6) and (5,0) is plotted on the coordinate plane. The triangle…

A: Given  vertices of triangle are (0,0), (0,6) and (5,0).

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.