Graph your vase. You want to center the base of the vase at the origin so that it is symmetric across the x-axis, and trace half of it in the first quadrant. You need to determine the radius of the glass at regularly spaced height intervals, and generate a table of values. Be precise! Height Radius 3 units 6.5 6. 1.12. 12 8.5 15 9.5 18 10 21 9.5 24 8.5 27 Create a piecewise equation to model your vase. You may use the regression function on your calculator to determine the equation. Once you generate your equation, rotate it about the x-axis to generate a solid.

Q: Classify the triangle. Be as specific as possible. 59 3x +5 2x + 16 Classify by sides: Classify by…

A: The triangle has angles 59, 3x+5 and 2x+16

Q: clean piece of paper. H (1-2) Name the legs. (3-4) Name the bases. (5-6) Name the base angles. K E

A: Let's find.

Q: Exploring Circles Refer to the figure at the right. 1. Name the center of ©P. 2. Name the three…

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Q: (-2, 5) (8,-3)

A: Explanation of the solution is given below...

Q: elect all points that lie on the circle. (Photo has chart) A. (-4,12) B. (-6,6) C. (4,6) D. (13,10)…

A: Given that, a circle with center (4, 6) and radius 10 units. The equation of the circle with center…

Q: 1. What values of m and n will make ABCD a parallelogram? 2. What are the measures of ZA, ZB, and…

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Q: DATE: NO. 1. Find the lengths of the sides of triangle ABC and state whether the triangle is a right…

A: Step 1: Step 2: Step 3: Step 4:

Q: Give the center and radius of the circle. x 2 + y2 = 25

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Q: What is the standard equation of each circle? 9. center (2, 3); radius = 5 10. center (0,-1); radius…

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Q: Find the coordinate of the other endpoint if one endpoint of a segment is at (6,0) and the midpoint…

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Q: A segment has the following coordinates A(6, 7). B(4. -3). Find the coordinates of the midpoint of…

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Q: This is not a graded assignment.

A: Detailed explanation:

Q: For the Triangle shown below: Pi= (0,0,2), P2= (0,2,0), P3-(0,4,2), P4-(0,2,4), P5-(2,2,2). P4 P5 P3…

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Q: The simply supported beam loaded as shown. The length of the beam is 6 m, a = 4 m, the load P = 4000…

A: Given: l=6m, a=4m, P=4000N To find: Solution

Q: 6 On the coordinate plane, AABC is mapped onto AAB'C by a dilation with center (-1, 2) and scale…

A: Graph is shown below.

Q: Write in set notation the description of the following regions of the Cartesian plane 9. The fourth…

A: 9) The fourth quadrant: In the fourth quadrant, x is positive and y is negative. So, the required…

Q: Write a conjecture/observation/hypothesis about the product of the lengths of the segments of the…

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Q: 3. The vertices of AFGH are F(-1, 1), G(-5, 4), and H(-5,-2). X is the midpoint of FG, and Y is the…

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Q: 2. Find the area of the parallelogram that has two adjacent sides u and u. ū = (8, 2, -3) = (2,…

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Q: What is the distance between points (1, 1) and (7, 5)? Round to the tenths place if necessary. Show…

A: Distance between points (x1,y1) and (x2,y2) is (x2-x1)2+(y2-y1)2.

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.