b) B = {(x, y) : x² < e*+3y < 5y + 4x},

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A:

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A:

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A: Answer is mentioned below

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A: Given,            y'=xyx+y, y(x0)=y0

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

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A: Using the Neymann factorisation theorem we can find out the sufficient statistic.

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Q: 3. Find all the fixed points and classify cach of them: f(r,u) ryev,

A: Solution:- Fx,y=xye-x2-y2 Put Fx=0 and Fy=0 Fx=e-x2-y2y-2x2=0and Fy=y-2y2 e-x2-y2=0 So,  0,0,12,12,…

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

Q: Let (X, d) be a separable metric space. into l∞.

A: This is a problem of functional analysis.

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A: This is a question of point-set topology.

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Q: Let C(X,Y) have the compact-open topology. Show that if Y is Hausdorff, then C(X, Y) is Hausdorff

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Q: Which of the following sets of points are not coplanar?a. E, H. O. G b. K. O. G. E c. E. O, F, J d.…

A: a) H, O, G are on a line. So if we take another point E with the line, they will be coplanar.  b) K,…

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A: Closure and interior

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Q: (f) The set B = {(z, y) E R² : ² + y < 1} ; is disconnected. as a subset of R? with indiscrete…

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Q: Let V C(R ) be a nonempty open set satisfying a – b EV whenever a, b e V. Prove that V = R. %D

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A: let X be an uncountable set and T=U⊑X : U=∅ or Uc is finite i.e cofinite topology on X. Then the…

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Q: f (て) be a top. space 3.ト X-Tab, cidiel (xて) be top space %3D %3D et A= {bj. FindO A Tb,d] %3D 2.…

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Q: Let (S, d) be a metric space and suppose that ρ:S×S→R is defined by ρ(x, y) =d(x, y)/(1 +d(x, y))…

A:

Q: 6. The distance between a point x ER and a nonempty set A CR is defined by d(x, A) = inf {\x – y| :…

A: In this question, we have to prove that d(x,A)=0 iff x belong in closer(A)

Q: graph the points z = x + iy that satisfy the givenconditions. | z |&gt; 2

A: Complex numbers

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A: The given question is related to metric spaces. The solution is explained below.

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Q: 1/ For any. topological space (X, T), if T has only three elements then (X, T) is connected.

A: Given: Topological space X, T and T has 3 elements  To prove that X, T is connected when T has 3…

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Q: Describe geometrically the set of points z satisfying the following condition:|z−2i|=3 .

A: The general form of a complex number is given by z=x+iy, where x,y are two real numbers and i=-1.…

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A: Given: Given convolution expression is Y(n)=x(n)*h(n) x(n)={1,1,0,1,1} h(n)={1,-2,-3,4}