None of the choices. Consider the following subsets of R equipped with the Euclidean topology: * Зт - 1 { n+1' EN*} A В - 2n' C = n=1 A and B are not complete A and C are not complete B and C are not complete A, B and C are not complete arch 77°F TOSHIBA

Q: . Sketch the following subsets of R2 and decide whether they are of type 1 (only), type 2 (only),…

A: Type 1 : A Type 1 region lies between two vertical lines and the graphs of two functions of x.Type 2…

Q: Let! aset os R, sho that whe ther Tbe acofinite to pology on (R,T) is To-spuce and TisPuceand or not…

A: The given question is related with topology. Given that Τ is the co-finite topology on R . We have…

Q: fferentiate Hyperbolic and Euclidean

A: Solution of the problem as follows

Q: Evaluate | 36e dz, where C is the polygonal path consisting of the line segments from z = Oto z =…

A:

Q: The closure of (-co0,2) in the left ray topology is A) (-c0,2) [B) (-0,2 C) R D) O

A:

Q: 6/18 Find the value of x. 5) 6) 42° X = 55° 7) m/2 x+ 62 8) m22 = 5x + 9 102° 55°

A:

Q: Verify that {uq.u2} is an orthogonal set, and then find the orthogonal projection of y onto…

A:

Q: Determine the dimension of the span of each set. 6 3 12 - A = span ({0}) 2 - -1 4 20 10 40 dim (A) =…

A: Here sets A,B and C are given. We find dim(A),dim(B) and dim(C).

Q: Let R (the set of real numbers) be equipped with the Euclidean topology, then A, a finite subset of…

A: Given that R is equipped with the Euclidean topology and A is a finite  subset of R.

Q: Let T cofinite topology on R and Y={5,6,7} find Ty?

A: We have to construct subspace topology with respect to the cofinite topology

Q: 36) Prove that every product Space is inner metric Space- Discuss its Converse

A: Suppose that V is an inner product space over a field F. To prove that the V  is a metric space. To…

Q: Consider an incidence geometry satisfying the betweenness axioms. Let A,B,C be points on a line /…

A: Given ta is parallel to tb and tb is parallel to tc

Q: How many points need to be in a set in R° to guarantee that the set is affinely dependent? А. 11 В.…

A: According to the given information, it is required to tell the number of points in a set R9 to…

Q: What is the locus of points in space that are equidistant from the vertices of equilateral triangle…

A:

Q: 4 ,3 ,2 ,1 = X آقا -X L find The Possible Topology That Contain sus { 1123 , 2, 3, {\/ 3 ، 4 seas

A: It is given that,  X = {1, 2, 3, 4}. We have to find the possible Topology on X that contain the…

Q: The triangles T_1 defined by (0,0), (1,1). (3,0) and T_2 defined by (0,-1), (-1,-2), and (0,-3) are…

A:

Q: Q1.a) Leta (4563 • vany vigill b) Let T be a cofinite topology on a set of real numbers R and A =…

A: This is a question of Topology. Given: A={2,3,5} B is the set  of Natural numbers. The objective is…

Q: 2 and v = [*] 21. Let u = Show that is in Span {u, v} for all h and k.

A: We have to solve given problem:

Q: Prove that the angle sum of any quadrilateral is  (2*pi) Prove that the diagonals of a rhombus meet…

A: Statements:(1) The angle sum of any quadrilateral is (2*pi)(2) The diagonals of a rhombus meet at…

Q: What is the condition for two central coincides in a triangle to be collinear?

A: A triangle has several significant points, known as its centers, such as the circumcenter, incenter,…

Q: Solue the inew ua lity 12zx+5]z/2-Sw show also He setls) . Soution neimbe8 Line

A:

Q: QuadrilateralPQRShasverticesP(0,2),Q(4,8),R(7,6),andS(3,0). a)ProvePQRSisaparallelogram.…

A:

Q: Show that the 4 incidence axioms that define a projective plane are independent.

A:

Q: Consider the topology T on X= (a, b, c, d, e), (X, Ø, (a), (e,d}, {a, e, d), (b, c, d, e}} Show that…

A: It is given that,  X = {a, b, c, d, e} and  T = X, ∅, a, c, d, a, c, d, b, c, d, e be a topology on…

Q: 9. Find the angle between the two planes 2x + 3y + z = 3 and x + 3y + 2z = -3

A: Given,           2x+3y+z=3    and   x+3y+2z=-3We know that,           Suppose the two equation be…

Q: -5 1) Given the points X (-6,-5) and Y (-1,5), find the coordinates of point Z on the segment XY…

A: Given: Point X ( -6 , -5 ) Point Y ( -1 , 5) ZX/XY = 1/5   m= 1  n = 5-1= 4

Q: Q2. Answer as true or false: (a) f-'((AUB)nC) = (ƒ-'(A)n f-1C)) U (f-1(B) n f-1(C)). (b) Given the…

A: (a) is True. (b) is False.

Q: erify that (u,,u2} is an orthogonal set, and then find the orthogonal projection of y onto Span…

A:

Q: Drive the frenet frame ,curvature and torsion of binomial indicatrix of hypocycloid

A: We need to Derive the frenet frame, curvature and torsion of binomial indicatrix of hypocycloid

Q: 2. %3D be Centered in a batt co,ogo) andradies I 2. frove thet S-273R

A:

Q: For this question, assume the Parallel Postulate P-1 (a) Define a chord of a circle. (b) Prove that…

A: a. Chord of a circle Chord of a circle is a line segment joining any two points on the circumference…

Q: The set {0,3} with the usual metric is connected as union of connected sets {0} and {3} True False

A:

Q: TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT

A: The given equation of the circle is       (x - 2)2 + (y - 8)2 = 25  . . . . . . (1)  whose center is…