Find a topology in which the point x = 5 is an open set.

Q: Define a translation and construct a geometric preimage and image on a coordinate plane to model a…

A: A translation is a transformation that occurs when a figure is moved from one location to another…

Q: 3. f(x, y) = x² x+y + y²-1 -; (1, 1), (-1, 1).

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Q: 6. Show that the span of this set is all of R?. {}}

A: Let S=v1,v2,...,vn be a set of vectors in a vector space V(F) . The vector space V is spanned by S,…

Q: 4) Let a < b be real numbers. Prove that the half open/half closed interval (a, b) is both an Fo and…

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Q: y=12x³-x4 = x³ (12-x)

A: The function.To find the local maxima or minima and the absolute maxima or minima.We use the concept…

Q: Explain with an example of a topological space which is singleton that is open but not close and…

A: Example in refer of not  open but closed .Take , Here A is singletone set which is closed but not…

Q: For all sets A, B, and C, prove that (AUB) - (CA) = AU (B-C) Please indicate the reason for each of…

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Q: Find all points having an x-coordinate of 1 whose distance from the point (-3, - 2) is 5. ..... The…

A: NOTE: Refresh your page if you can't see any equations. . let the (1,y) whose distance from the…

Q: If D(L AOB) states the set of points located on the OA side containing point B and the OB side…

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Q: Show that the set { 159 is linearly independent

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Q: denumerable. Apply the definition and prove that the set A = {₁, {} ... } is

A: An infinite set is denumerable if it is equivalent to the set of natural numbers I.e there is a…

Q: Show that the sum of linear maps is linear.

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