Lucy thinks that rotating the given figure about the x-axis will create a cone. Sharon believes that rotating the figure about the x-axis will yield a diamond-like, three-dimensional object. Who is correct? Explain your reasoning. Both Lucy and Sharon are correct. A cone is a diamond-like, three-dimensional object. Sharon is correct. A cone would be created if the figure was rotated about the y-axis, not the x-axis. Neither Lucy nor Sharon is correct. A cylinder would be created if the figure was rotated about the x-axis. Lucy is correct. A diamond-like, three-dimensional object would be created if the figure was rotated about the y-axis, not the x-axis.

Q: Part B Enter the numerical coordinates of the vertices of quadrilateral ABCD in the table. (Polnt A…

A: We will find all the coordinates as following.

Q: The coordinates of point P are (2,3,7). What is the exact distance between point P and the z-axis?

A:

Q: X is the center of one circle, Y is the center of the other. How do you know that triangle XYZ is…

A: We will show how the triangle XYZ is an equilateral triangle as following

Q: A firework rocket that is sitting on a ledge is launched vertically upward. The image attached shows…

A: We need to solve quadratic model equation.

Q: wrong. 3. What is the angle of elevation for the pyramid in Question 2, to one decimal place? Mark…

A:

Q: Select the statements that accurately describe three-dimensional symmetry. Any object with axis…

A: Select the statements that accurately describe three-dimensional symmetry. Any object with axis…

Q: the statement is TRUE and

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A glass sphere given by the equation (x-1)²+(y-2)²+(-3)² = 36 is floating above the plane 2x + y -…

A: The given problem is to find the point on given sphere is farthest from the given plane. Given…

Q: Determine the type of shape graphed below, based on its coordinate properties (not its looks). A.…

A:

Q: 1. Point B is the midpoint of segment AC. If the coordinate of A is -1 =

A:

Q: The diagram shows a cone and its axis of rotation. Which type of cross section is formed when the…

A: Solution is done in step 2

Q: 5. From the figure below, state the coordinates of each of the points shown on the Cartesian plane…

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.