Discuss the applications of topology in other field of science.

Q: 4. Give a geometric description of each family of planes.

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Q: What is the contour interval of this map?

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Q: Find the image of the semi-infinite strip x+ y 2 2,x – y < 2, х, у 20

A: In this question, we find the image of the region under the given transformation w=z+2i Here first…

Q: Please define these cocepts: Isolated point, .discrete topology, dense space

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Q: The set of all points on one side of a line is called a/an

A: Consider the given statement "The set of all points on one side of a line is called a half-plane".…

Q: Question 19. Indicate whether the following sentence is an example of parallelism or faulty…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: Suppose X has the discrete topology. Then the infinite product X" with the product topology is also…

A: Suppose X has the discrete topology. Then the infinite product Xw with the product topology is also…

Q: What series of Transformations will Map circle A onto circle B? y 1. -5-4-3-2-1 1 2 3 45 -1 -2 -3

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Q: 4. Find the radius of this circle. -3- 2- 1- -8 -7 -6 -5 -4 -3 -2 -1 0 -1- O 6V5 O 2v2 O 3/2 O v2 5

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Q: prove the parallelogramequlity:

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Q: Show that the real line is a metric space.

A: Answer is mentioned below

Q: {[: :}[: }} 1 2 1 0 1 -1 1

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Q: Use Clairaut's theorem to draw the geodesics of the catenoid

A: Solution :-

Q: 3. Prove that points (5, 1), (2, -2), and (-1, –3) lie on a circle centred at (-2, 5). What is the…

A: Please rate and feel free to ask any query about any part.

Q: It is possible for two intersecting lines to be noncoplanar.

A: It is possible for two intersecting lines to be noncoplanar.

Q: topological space a

A: Presumably, the closure of Q in R under the usual topology. It suffices to show that for every real…

Q: find the distance in space between the points (5,3,-2) and (0,0,1)

A: Use distance formula between two points

Q: What is a fixed point theorem?

A: Fixed point: Let f be any function. A point x0 in its domain is said to be fixed point if fx0=x0.

Q: What is the norm of a partition of a closed interval?

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: The set of all points on one side of a line is called a/an________ .

A: The set of all points on one side of a line is called a/an________ .

Q: how to prove a map is unique?

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Q: Describe the locus of points on a footballfield that are equidistant from the two goal lines.

A: Describe the locus of points on a footballfield that are equidistant from the two goal lines.

Q: Which diagram represents the theorem that the medians of a triangle intersect at a point?

A: We know that median of a triangle is a line segment joining a vertex to the midpoint of the opposite…

Q: Sketch a model atleast 2 axioms of Pappus's Geometry and identify those axioms

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Q: The quotient topology actually defines a topology.

A: The quotient topology  actually defines a topology

Q: What is the locus of points in space equidistant from two parallel planes?

A: Locus: If the two lines are in Rn the points equidistant from them form an n−1 dimensional…

Q: mplify ƒ (x, y, z, w) to the simplest form. The Karnaugh map can b

A: Answer:   f(x, y, z, w) = y'w' + yz'w

Q: Consider X = {1, 2, 3, 4, 5} where the topology is {UC X|1 € U}. Determine whether or not X is…

A: Connected Space: A space can be separated if it can be broken up into two disjoint open sets. Let X…

Q: Question 2: Show that path connectedness is topological property. Explain and show your work.

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Q: Question 6. Let (X,r) be a topological space and A, BCX. Determine whether (A-B)CA -B or not.

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Q: What are all of the theorems used in a ferris wheel?

A: A Ferris wheel is a type of amusement attraction that consists of a revolving upright wheel with…

Q: . Express the original claim in symbolic form. Let the parameter represent the adults that would…

A: Claim : A minority of adults would erase all of their personal information online if they could.

Q: What is the locus of points in your class- room that are equidistant from the front and back walls…

A: The objective is to determine and draw the sketch of the locus of points in our class- room that are…

Q: Section 2.6 in Volume 3 1. Draw one crosscut for a fixed z value, one crosscut for a fixed y value…

A: We will solve this question by fixing x, y, and z one by one.

Q: Special paper that contains an isometric drawing. can be used to aid in making O blue lines O dots O…

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Q: 18. Find the center of the circle. 3 -2- 1- -3 -2 --2 (2, 2) (-1, 1) O (-2, 2) O (1, -1)

A: See attached file for a step by step explanation.

Q: what ordered pair is an example of a topological space that is connected but not path-connected,why?

A: We use contradiction method.

Q: I think you are suppose to use the fundamental theorem of calculu.

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Q: The product topology is always finer than the box topology. - True - False I know the answer is…

A: We know that  The Product topology on ∏Xλ is the coarest topology such that all projection maps pμ…

Q: Determine the midpoint that lies between the two given points. (3π, 3) and (6π, 9)

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Q: 1. Let X = {1,2,3} with the topology 1={X,ø,{1,2},{2,3},{2}}. Verify whether X is regular or not.…

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Q: Question 13. Who invented K-Map? A. Maurice Karnaugh B. Edward Veitch C. George Boole D. Adam Smith

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Q: Find a map on the sphere so that each country borders only two other countries but the map requires…

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Q: What is the significance of arrows along a plane curve?

A: What is the significance of arrows along a plane curve?

Q: Define an isometry.

A: To Define an isometry.

Q: Question 6. Let (X,r) be a topological space and A, BCX. Determine whether (A-B)' C A' – B* or not.

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Q: Theorem 1.13. The set Q is countable.

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Q: Try to prove the existence and uniqueness of the fixed points..

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Q: s the dimension of

A: Given vectors are: 0,1,2,0,0,6,1,5,3 We have to find the dimension of the above set of vectors.

Q: Which figure is being constructed?

A: Given:GH is a line