2 Find all limit points of a set B = {1, }, 4, 4,...} on the real line with the usual metric. Is B open or closed? Explain. 3 Give the closure B of a set B = (1,3] on the real line with the usual metric. 4 Give the set of limit points Ao of a singleton A = {(5, 2)} on the plane R2 with the discrete metric. 5 Can two disjoint sets be close? Justify your answer using an example.

Q: Proof that young geomatry have exactly 12 lines

A: We have to prove that young geometry has exactly 12 lines.

Q: The isocost line of the smallest value is the line (1,3) 3, 3) (5,0) 이 (1.0, -2 O 15 O-3 0 3

A: To find the is cost line of the smallest value is the line with z:

Q: how that the point (1,0,-1) is the centre of the sphere passing through…

A: Let O=(1,0,-1), A=(1,8,-8) B=(-9,0,5) C=(7,-8,-1) D=(-7,0,7) It is enough to show that…

Q: Use Green's Theorem to evaluate pxcosydx – ysinxdy, where the curve C is the square with 0), (TT,…

A:

Q: Q/All questions refer to points and Lines of plane PG (2,1F). Assue that the Characteristic of IF is…

A: The given data in this question are the coordinates of six points in the plane PG(2, IF): (3, -1,…

Q: A transformation maps quadrilateral ABCD onto quadrilateral A'B'C'D'. The coordinates of A'B'C'D'…

A:

Q: irst part of question is that Find the locus of a point such that the sum of its distance from the…

A:

Q: 3 > Find a plane containing the point (-2,7,-7) and the line 7 (t) = +t < 3, 8, Check Answer

A:

Q: Iz+2-ik1 represents the interior of the circle of center (-2,1) and radius 1 (without the boundary).…

A:

Q: アon) usweris X10 बप्कणs In the ry-plane, what is the perimeter of an equilateral triangle with one…

A:

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: Considering the following points on the Cartesian Plane: A(1, 2), B(-1, -3), C(-6, -1) and D(-4,…

A: We need to find which shape will be formed.

Q: A sequence of translations maps CAT to C'A'T' CAT has vertices as C(-3,3), A(10,2), T(-5,11) The…

A: Topic : Geometry

Q: Q3: If P, Q and R are three points having coordinates (3, -2, -1), (1, 3, 4), (2, 1, -2) in XYZ…

A: Given that P(3,-2,-1); Q(1,3,4); R(2,1,-2) are three points in XYZ space.we need to find the…

Q: 7. Points A(1, 2,3), B(-3, –1,2), (13, 4, – 1) lie on the same plane. Determine the distance from…

A: Solution

Q: Find a plane containing the point (5,-2,8) and the line of intersection of the planes 7x+6y-z = 27…

A:

Q: Let aj = (1,3, –2), az = (5, 1, 4), and b = (6, –9,3). (a) Project b onto the line through a1.

A: Given that a1=(1,3,-2),a2=(5,1,4),b=(6,-9,3) (a) The formula for projection b onto line through a…

Q: Let A be the point with coordinates (7, 6, 3) and let B be the point with coordinates (6, 6, 4). Let…

A: The main objective is to determine the distance from the point to plane.

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

A:

Q: Find the points of the intersection of the line x = -2, y = 4+2t, z = -3+t with .the xy-plane,…

A: In xy plane : z = 0 means t = 3, so the point of intersection is (-2,10,0). Similarly.

Q: Find an equation of a plane containing the three points (0, -2, 4), (3, -3, 2), (3, -2, 4) in which…

A: The equation is  :-

Q: AABC will be taken to AA'B'C' by a dilation. Point B is the center of Dilation. Select all true…

A: According to question,Given Data,∆ABC will be taken to ∆A'B'C' by a dilation,and Center of dilation…

Q: 6. Let P= (1,0,2), Q = (-2, 1, 1), R= (a, B,7) be points in R for real numbers a, B, and 7. (a)…

A: Given: Let us consider the given P=1,0,2, Q=-2,1,1, R=α,β,γ be points in ℝ3 for real numbers α,β,…

Q: the distance between A and B •the distance between A and C

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.