1. Find the minimum, maximum, supremum, and infimum of the following sets. Justify your answers. (a) {n+ :n eN} (b) 1. 2+ 2 - n=1 (c) ñ(2 1 2 --, 2+

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Q: Determine the solution set of the matric Ax=0 where A= 1 2 3 2 3 4

A: Given the system of equation is AX=0 where

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A: Given that: f(x)=sin2(2n+1)x on the interval π8, 3π8.and satisfies the Rolle's theorem at…

Q: 9.G. Prove the Cantor Intersection Theorem by selecting a point xn from Fn and then applying the…

A: As per BARTLEBY GUIDELINES, I answered only one question (Q- 9.G) and                     repost…

Q: Show that the IVP x" = -6x(x')3, x(-1) = -1, x'(-1) = 1/3, has a unique solution x and find the…

A: Consider the given equation. x''=-6xx'3 And the initial values are x-1=-1 and x'-1=13. Let the…

Q: 2. Solve the following Cauchy problem: Uu = Uzz -0 0, u(x,0) = x – a², u(x,0) = 4x, -00 <x < 0. %3D

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Q: 1. Indicate whether h(x), h'(x) and h"(x) are positive (+), negative (-) or equal to zero (0), at…

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Q: Solve the following inequality graphically in two-dimensional plane:2x – 3y &gt; 6

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Q: 5) Find the general form of the funclion f(x), given that f"(x) = X+1, f(0)=1, and f'C(6)= -1

A: The solution are next step

Q: Solve the following minimal assignment problem : I II III IV A 1 3 В 7 10 9* C 5 11 7 8. 7 8. 4- 4-

A: Hungarian Method Steps to Solve Assignment Problem : For each row of the matrix, find the smallest…

Q: Find a 5 with real coe ffients that satisfies the aiven conditions. zeros of a, 5and-3; P)=4…

A: We have to find the polynomial of degree 3 with given condition.

Q: (a) Find the supremum of the set S:= 4 13 40 13 9 27 81.. }, if the supremum exists. Justify your…

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Q: 7. There is aremovable discontinuity at x = 1 andf(1) = 4

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2) Prove that the foll owing func tion is not differen tiable at (0,0). 2. 2. f(x.y) = (X.y) = (0,0)…

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Q: Find (with proof) the infimums of the sets S = {1 / n : n  ∈ ℕ} and T = { (-1)n / n : n  ∈ ℕ}. Is…

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Q: Label each of the following statements as true or false. If true, to in order to complete the…

A: proving the statement or contradicting using an example will help us in solving the question. Basic…

Q: 8.26 Show that the IVP x" = –6x(x')³, x(-1) = -1, x'(-1) = , has a unique solution x and find the…

A: Given IVP is x''=-6x(x')3 , x(-1)=-1 ,x'(-1)=13

Q: 2. If xER and 0<x<4, then 21.

A: In this question, the concept of proof using contradiction is applied. Given, If x∈R and 0&lt;x&lt;4…

Q: 63. Given n nonzero numbers o1,...,on, show that the minimum value of S(x1....,xn) = xfo7 +..+ x…

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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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Q: (b) Show that 1+ 2/2 has infinite order in R*.

A: Given that R=m+n2 | m,n∈ℤ (b) The objective is to show that 1+22 has infinite order in ℝ×

Q: nd to wnwyun g ans 2

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Q: Show that the function f(z) = from [0, 0) to [0, ∞) has a fixed point c. Hint: Set f(r) = z and show…

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Q: Use d'Alembert's solution to prove f(-3) = f(3),g(-7) = g(3) for the semi-infinite string satisfying…

A: Now, it is given that ux(0, t) = 0   The D-Alembert’s formula is given as:

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Q: 2. Find three positive integers x, y, and z if their product is 27 and the sum is a minimum.

A: Given three positive numbers are  x, y, and z Product = xyz = 27 And sum is minimum

Q: Prove that if C has infimum 2 then D = {x ∈ R | c ∈ C, x = 3c} has infimum 6

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Q: (8) Find the infimum, minimum, maximum and supremum of each of the following sets (write d.n.e. if…

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Q: Suppose that y' = f(y) has no constant solutions, where f : R -> R is infinitely many times…

A: Consider the provided question,

Q: (7.8) Lemma. Let K, L be simplicial complexes which intersect in a common subcomplex, then z(K U L)…

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Q: 30.Prove that if y1 and y2 have a common point of inflection t0 in I, then they cannot be a…

A: Suppose at the point t0, p and q is zero. That is, pt0=0 and qt0=0. Since t0 is a point of…

Q: D. Find (with proof) the infimums of the sets S = {1 / n:n e N} and T = { (-1)" / n :n e N}. Is…

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Q: 2 1 Find a mat rix P such that P- 2 0 0 3 0 3 [11 O AP = 1 0 -1 0] BP = 1 1 1 1 OCP = 0 1 1 -1 ODP =…

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Q: 4. Find an upper and a lower bound for the set E= x +1 : -1 < x2 +1

A: Given: E=x+1x2+1:-1&lt;x≤2

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Q: 2.2.7. Prove the full triangle inequality: for every x, y E R", | |æ| – |y|| < |x± y| < |æ| + \y]-…

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Q: Find the rank and nullity of the 2. 4 9. A z -7 2. -5 4 L7 -9 2 -4 verify the that dimension…

A: The given matrix is  A=20464-7201-5247-92-4 According to dimension theorem for any matrix A of size…

Q: 2. What is the largest possible c in (1) if X=R² and x₁=(1,0), x₂ = (0, 1)? If X = R³ and x₁ = (1,…

A: Given: c To find: a) X=R2b) X=R3

Q: Show that the IVP x" = -6x(x')3, x(-1) = -1, x'(-1) 1/3, has a unique solution x and find the…

A: Introduction: An initial value problem is a differential equation whose solution is the curve…

Q: 12) Show that D- ldi-dal between is shortest distance a x+ by + e2 of i ancd ax +by +Cz = dz?

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Q: 4. Show that the intervals S =[1,3] and T =[2,8] are equinumerous by finding a bijection between…

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Q: Compute the convolution x[n]*h[n] for all n> 0, by using Graphical or Tabular method. x[0] = 3, x[1]…

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Q: Solve the following inequality graphically in two-dimensional plane:3x + 4y ≤ 12

A: We first graph 3x+4y=12 line We make a table for it x 4 0 y 0 3

Q: Solve the following inequality graphically in two-dimensional plane:– 3x + 2y ≥ – 6

A: We first sketch – 3x + 2y = – 6 line We will use a table for this x 0 2 y -3 0

Q: 1 : Determine the manimom and Nalve of the function minimumn x'tyス condition under the *+ 2 7?== 1.

A: To find the absolute maximum and minimum of the function using lagrange multiplier

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A: To find the interval on which f(x) is concave down.

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Q: Find the infimum, minimum, maximum and supremum of each of the following sets (write d.n.e. if it…

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.