Find the supremums of the following sets [1 :by proving your results .Si = {a < x < b; x E R} (a %3D .S2 = {a

Q: Suppose we have some approximation N(h) to M, and we know that N(h) = M + C¡h+ C2h² + C3h³ +0 (h*) .…

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Q: Juneten and be fure at lebel aut least thre f (n) : Su

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A: a) The given set is,S=n-1n:n∈ℕ

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A: In this question, we solve the partial differential equation by separation of variable as…

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Q: a of the following juncions. s- 1 (b))F(s)% = %3D 2s2 -8 s + 11

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Q: Suppose that > ak = a and let c E R. Prove, in all the that (c-an) = gory detail necessary, = c•Q.…

A: We will give two proofs one based on partial sums and the other will be a direct proof.

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A: %File Name: findSplineCoefficient.m %Define function function [ retCoeff ] =…

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A: The Chebyshev's Inequality:                    Let X be a random variable. If X has finite mean μ,…

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A: By Rolles Theorem, for a function f:[a,b]→R, if  (a) f is continuous on [a,b](b) f is differentiable…

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A: As per our guidelines we are suppose to answer only three sub parts. Required probability is…

Q: O Let X,X. X3 beasamPle of size n=3From the Bernolli Pmf Assune Ti ヒ(X、メ,メ) X、+メz+Xg and こ I= X,X t…

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

Q: ng steps in the proof in order. Ris he meon of GS PAR XTSK Prove PRATS Staterenis Reasen Gier Def…

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Q: Q1. Compute xdx x'+10 using trapezoidal and Simpson's 1/3 rules with the number of points 3 and 5.

A: The given integral is, I=∫01xdxx3+10 Dividing the interval (0,1)  into 2 intervals (for 3 points)…

Q: I need help for number 5. There are some parts in this section that I don't understand. Please give…

A: Problem 5.To prove that the given closed ball is closed.

Q: 4. In the diagram below, Ĝl is parallel to NT, and IN intersects GT at A. Prove: AGIA~ATNA

A: Given :GI is parallel to NT

Q: 1. Prove with the usual notations that: (a) EV = VE = A (b) A +V =- (c) A= SE Apply the suitable…

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

Q: 3.19 Suppose if r = 0, f(x) = {-1)" if r E n+1' n where n E N. Prove: f € R[0, 1], even though f has…

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A: The series can be shown as continuous in a domain if it converges. Therefore, the first calculate…

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Q: Show the following se ts Convex ? are for ast sh} k k-1 PCt)=a,+aztr...a t

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Q: Σ (X) E(Y), E(XY ) , Coν ( X, Y) , σχ, σχ and ρxΥ.

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted...…

Q: If ø + SCR is bounded above, then .S has a supremum إختر واحداً: ibs

A: I have proved by contradiction

Q: Use the following graph of ) to estimate the solution(s) of Ax) = 0 for osxS6.28. 3.14 471 6 28 -1-…

A: We know the values of f(x) are given in the y axis, so y = f(x). y is the dependent variable and x…

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Q: - Prove thas the scries 2+x2 3+X2 4+x niformcy conuergen2 in any interval?

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Q: 8. If (X, M, ) is a measure space and {E₁} CM, then (lim inf E₁) lim inf μ(E). Also, μ(lim sup E₁) ≥…

A: Given that if X, Μ, μ  is a measure space and Ej1∞⊂M .

Q: Четверг show that the inu of a bounded E tix-oy ne 7 8. use T

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Q: Solve the following ILP using using LINGO Maximize  Z =5x_1+6x_2 Subjected to x_1+x_2≤5…

A: To Determine :-  To solve the LPP .

Q: Q1. Compute xdx x' +10 using trapezoidal and Simpson's 1/3 rules with the number of points 3 and 5.

A: we have  I=∫01x dxx3+10dx  n=3h=b-an=1-03=13…

Q: Suppose f"(x) = N (h) + a,h? + a,h + azh +.. %3D Using Richardson's extrapolation which of the…

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Q: b) Show, with the help of the Intermediate Value Theorem (IVT), that the average weight of seelans…

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Q: Which of the following is a nonlinear second order nonhomogenous PDE a. xux-Uxx=tuxt O b.…

A: To find - Which of the following is a nonlinear second order non-homogenous PDE x ux - uxx = t uxt…

Q: 2. Find the exact length of the fllowing curvis 1&s4 () x= Imfi-) <と

A: a) y=13xx-3 ; 1≤x≤4 Note:      Multiple questions are given, we are answer with only one question.…

Q: .If o + S CR is bounded above, then S has a supremum

A: It is given that S is a non-empty sub-set of R and R is bounded above.

Q: - Pcosø prove that dw xy is Cont s Lony) - the fun ction (-1, 2) = x*y+z and x = PSinf cse y=pSi- -…

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Q: let X~~ Per(P) Prove ô is unbiare if ô-X let x exp(0) Prave e is unbiar

A: Introduction: One random variable follows Bernoulli with parameter p and other random variable…

Q: 1- Suppose that ,p) is a meric space, an that E CX. Then the interior E is open (m X) and the…

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

Q: find the desivalive d the functian ha)= ainfse and compute h'(2) Th o

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Q: Please solve this linear algebra question. Thank you.

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Q: Estimate the value of f2 (1 – x-4x + 2x) da using 4- segment Simpson's 1/3 Rule. O 1144.5 O 2146.7 O…

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Q: The Lucas numbers L; are defined as follows: (1) Lo = 2, L = 1; and %3D (2) L, = L,-1+ L-, for n E…

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Q: Answer the following questions: 1] Find the supremums of the following sets by proving your results:…

A: We Know that  Suppose that A ⊂ R is a set of real numbers. If M ∈ R is an upper bound of A such that…

Q: Given the following graph of the fun Chron y= flx) and n6 following avestions about the anea under…

A: 1) Given that, the function is y=fx, n=6 and the interval is 0,6. Obtain the value of ∆x=b-an.…

Q: 8. If (X, M, ) is a measure space and {E₁} CM, then (lim inf E₁) ≤ lim inf μ(E). Also, μ(lim sup E₁)…

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Q: Let X be a rs from Exp(0). Construct a (1 - a) CI for 0.

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