PROVE THESE PROCESS PLEASE!!

Q: Part II Write the first five B={ IneN3 then prove sup(B) = l Part III Proue that Pj ajta and b,sb →…

A: a) Supremum of set: Let  S be any subset of real numbers. Smallest upper bound among all upper…

Q: Define orthonormal..

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Q: If k >= 2 and x in R^ k prove that there exists y in R^ k such that y ne0 but xy = 0 Is this also…

A: If x has any components equal to 0, then y can be taken to have the corresponding components. equal…

Q: e3t -1-3t { 9 O 3/(s^2(s-3)) O 1/(s^2(s+3)) O -3/(s^2(s+3)) 1/(s^2(s-3))

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Q: The product of sum (max term) form of the boolean function F = x +y'z is

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Q: 3. Find the Bayes rule for loss L(a,o)

A: Find the bayes rule for loss L(a,σ) = (a-σ)2σ2 = (aσ-1)2, σ>0

Q: 1+z+. . . . +z": 1-zn+1 nEN, zEC, Z#1 = 1-z

A: False

Q: What is the sum of (9x^2-4xy+3y^2)` and `(8x^2-y^2+2xy)`?

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Q: Question 13 What is the truth value of the compound proposition if p and q are true statements and r…

A: Introduction: A truth table demonstrates how the truth or falsity of a compound statement is…

Q: Suppose Pr(A)=1/2, Pr(B)=1/4, and Pr(A v B)=1/2. What else can you say about A and B based on the…

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Q: Find Time response for Yes) = 25+3 s (s+3)

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Q: Nyquist's Stability Criterion and Cauchy's Argument Principle? explain in Easy

A: Nyquist Stability Criterion: It states that the number of unstable closed-loop poles is equal to the…

Q: zdz ,Z = (2z+1)3 For f O z = u^(4/3) O z = u^(1/3) O z = u^3 O None of the choices O O

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Q: Iblock 2 blocks 3 5 I block = 1 2blocks 3 3 blocks 6 4 blocks 10 5blocks:1S Based on the picture how…

A: Given,  Block number n Number of blocks S n = 1 Sn = 1 n = 2 Sn = 3 n = 3 Sn = 6 n = 4 Sn…

Q: Evaluate Laplace of [9e^-5t + 2e^3t + 6t^3 - 10]

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Q: Use Heaviside Expansion Theorem (2s^2+1)/[(s-2)(s^2-2s+5)^2]

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Q: Prove using rules of inference that: (P→ ~Q) ^ (Q→~P) = ~PV ~ Q

A: We are given the logic problem and we have to prove the given symbolic statement.

Q: Explain the basic condiditions to apply the z-test?

A: Basic Conditions to apply z-test

Q: show that aut (Z_2 * Z_3)=aut(Z_2)* Aut (Z_3) by operation of addition

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Q: Construct a Boolean function of degree 4 that has value 1 if x_{1}=x_{3}=1 and x_{2}=x_{4}=0

A: To construct a Boolean function 𝑓(𝑥1,𝑥2,𝑥3,𝑥4) of degree 4 that evaluates to 1 if and only if…

Q: arsualuate the faltowmg integgal dx 4 Sin?x

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Q: A ball is drawn at random from a box Containing (6) red balls; (4) white balls and and (s) bine…

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Q: A ball is drawn at random from a box containing (6) red balls, (4) white balls and (s) bine balls…

A: Given Total number of Red balls = 6 White balls = 4 Blue balls = 5

Q: Differentiate. K«) = (3x*+ 1]x^- x) -sx]+ (3x*+ 1) B 12-L“- sx]+ (3x++ 1]6x*-s) © 12-lo…

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Q: S*(1+ 2') %3D 14 + C In(7) In(14) 7t+1 In(7) 14t+1 + C In(14) 7t In(7) 9t + C In(9) 7t + C In(7) 7t…

A: The given integral is: ∫7t1+2tdt Now, shift the 7t under the brackets.…

Q: (2 fi = f(x²+xyz, y² +22= Prove that (y²-2x) ou 2ZX) then ne (²h-x) he 18

A: Concept: Partial derivative : The partial derivative is similar to the normal derivative except in…

Q: How many ways are there to distribute r+s identical balls among five different children such that…

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Q: Let S be the sum of the two faces when a fair die is rolled twice. Work out the moment generating…

A: Solution

Q: Prove that √ ²07²dx = √= So e

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Q: Q (3) (a) Using rules of inference, show that [(~paq)^(rp) ^ (~r → s) ^ (s → t)] → t Is valid…

A: Please find the answer using logics in next step

Q: can you elaborate on c - reorder point ?

A: As we know that, the z score is given by,  z= (x-mean)/standard deviation. In this question,  mean=…

Q: it All<1 prove it 1-A It is invertible? (Tips Use the posterior arqument) And then if possible (1-A)…

A: Given that for a matrix A ,  A&lt;1 we need to show that : (I-A) is an invertible matrix. Now…

Q: Compute the averoge value of the funetion f=(7x²+3xt 15)e^ on the interval (-3,7] (6)

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