Find a star in the radial plane topology that does not contain any rationals.

Q: of the like segment with th

A: Here we have to find the midpoint of the segment having endpoints (5,-4) and (1,2) Let coordinate of…

Q: Prove by any method that the interval (-1, 2] is not a compact subset of R. Explain each step in…

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Q: A(n)................................... is the collection of all points in the plane such that the…

A: We know, A parabola is a collection of all the points in a plane such that the distance from each…

Q: Find all points with integer coordinates located at a distance of 3 from the point (4,5).

A: Using co-ordinate geometry and pythagoras theorem,we can identify all required integral points.

Q: Find an open cover of the interval (−∞, 3]. Justify why that open cover has no finite subcover.

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Q: Determine the sum of all the vertex angles in a concave octagon.

A: The sum of all the interior angles in a concave polygon is equal to (n-2)×180°. Here, n = no. of…

Q: Show that Loo is not icomorphic to a subepace of

A: Consider the spaces l∞   and   lp where p∈1, ∞. It is known that l∞ is not a separable space but, lp…

Q: Use polynomial interpolation to find a cubic curve that goes through the points {(0,-3), (1,0),…

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Q: Find the limit point of the open interval (a, b) in IR, where a

A: We have to find the limit point of the open interval a, b in ℝ  where a<b. Limit point: Let S be…

Q: Find the limits of the following indeterminate forms

A: Our Aim is to find the limit of the following expression given below:-limx→2 2-x4-x -(i)

Q: 13) Use the Intermediate Value Theorem to show that the polynomi: zero in the given interval. g(x) =…

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

A: Answer is mentioned below

Q: Find the limit: limit of the cubic root of 2+3x-5x2/1+8x2 as x approaches + infinity

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

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Q: Find the image of the infinite strip <ys under the trans-

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Q: Let S be a set of five distinct points in the plane with integer coordinates. Show that the midpoint…

A: Given S to be set of five distinct points in the plane with integer coordinates. Let the coordinates…

Q: 22 - 4y-9x2 = 36 %3D

A: This is a general formula of the 3d parabolic surface. For finding traces points we will use the…

Q: Do the three planes x1 + 2x2 + x3 = 4, x2 – x3 = 1, and x1 + 3x2 = 0 have at least one common point…

A: The three planes x1+2x2+x3=4, x2-x3=1, and x1+3x2=0.

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

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Q: Pip wants to complete the track shown below but, because there is lim- ited space, additional plates…

A: We will use the basic knowledge of shapes and patterns to answer this question correctly and…

Q: Find follewing lemits x3-14x3+ lim 42x+2 b-X Answer 'as an in teger. orwholenember

A: Find the limit of the function (x3-14x2+42x+2)/(x-9) as x tends to 9.

Q: Consider the rectangle inscribed in a right triangle, in such a way that the rectangle sits in the…

A: Let, ABC be the right angled triangle with ∠C=90°, as shown in figure with rectangle DEFC…

Q: Consider the subsets [0, 1] and [3, 4] of R, the set of all real numbers with the euclidean…

A: Consider the subsets [0, 1] and [3, 4] of R, the set of all real numbers with theeuclidean topology.…

Q: Every regular space is hereditarily regular.

A: We have to prove that every regular space is hereditarily regular. Consider a regular topological…

Q: What is the area of the shaded semi-circle

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Q: 3. Use the distance formula to prove that the point (4,2) is on the parabola x = Sy. Prenared hu

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Q: Prove without using the concept of duality: In the four-line geometry, there exists a pair of points…

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Q: Find all points with integer coordinates located at a distance of 3 from the origin.

A: we have to find all points with integer coordinates at a distance of 3 from the origin. Let P(x,y)…

Q: A parabola is the locus of a point equidistant from?

A: Answer : A parabola is the locus of a point equidistant from a fixed point and a fixed line.

Q: Prove or disprove that a subdomain of a Euclidean domain is aEuclidean domain.

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Q: To avoid collisions with invasive species of aliens, new imperial regulations allow only positive…

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Q: Find the point on the surface fx,

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Q: Graph the image of ASTU after a rotation 90° counterclockwise around the origin. 2 -10 -8- -6 -4 -2,…

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Q: Prove that cyclic parallelogram is a rectangle.

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Q: Find the bounded of the determine red In the same way as the proof of theorem 4 in the second…

A: Given:                                            Sn+1=Sn-paSn-q+bSn-r+cSn-sdSn-q+eSn-r+fSn-s…

Q: If - 3 and 5 are the coordinates of two points on the realnumber line, the distance between these…

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Q: When Can Pointwise Converqance preserve boundedness?

A: To prove -  When can point wise convergence preserve boundedness.

Q: Show that the class of closed interval [a,b), where a is rational and b is irrationals and a <b, is…

A: Base for topology: A collection B of subsets of topological space X is said to be base for topology…

Q: Find the equahon of the locus of a from (-2, 1,-2) and (2,-2,3) point equidistant

A: The given points are -2,1,-2 and 2,-2,3. Determine the equation of the locus and graph the equation.

Q: Find the di stace between the Point (-15, ) and the Origin

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Q: Exhibit an open cover of the interval (1, 2] that has no finite subcover.

A: An open cover of A is a collection of open subsets of A whose union is all of A and that a finite…

Q: FIND THE APEA POONDED BY THE CUPVES y"=x"(4-x

A: We have to find the area bounded by the curve.

Q: Compute the adjoint of the foll

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: A circle has its center at the nt (-5,-8) and it passes throu

A: Since, it is given that a circle has its center at the point (-5,-8) and itpasses through the point…

Q: Find a polyomial f(x) of degree 3 that has the following zeros. -8, 3, 0

A: Given :  To determine the polynomial fx of degree 3 that has the following zeros : -8, 3, 0

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

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