Find arc length and the surface area generated by rotating. x2 1 y +-;1< x < 2, around y – axis - 3 Draw a diagram to show the solid generated.

Q: Find the area of the surface. The portion of the cone z = 6Vx2 + y2 inside the cylinder x² + y² = 16

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Q: Identify the type of surface (in space) given by the equation, and sketch the surface. a. x^2+y^2=25

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the…

A: As dilation is done thus the size pentagon M'N'P'Q'R' compared to the size of the pentagon MNPQR…

Q: 5.) Find the surface area of the figure. * 16 in 17 in Your answer

A: Topic- surface area of cone

Q: (a) Find the area of the surface generated by the given curve about x-axis y = Vx , 18 x< 4

A: Note: According to Bartleby guidelines; for more than one question asked only the first one is to be…

Q: Center:(_,_) Radius:_

A: We have to find the centre and radius of the given circle equation.

Q: Help find the surface area when each line segment in the image attached is rotated about the (a)…

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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.