Show that |Z × Z|=|N|

Q: et a =i- 2j + k and b= 2i+j +k. Show that la + b| s lal + b|

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Q: What is the devivative of |x|?

A: Our objective is to find the derivative of |x|.

Q: a Prove that < 16 – a| for each a, b e R. - V62 + 1 Va? + 1

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Q: Let n 2 2. Assume that Fn is prime. show that Fn = -1.

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Q: A container contains 35 green tokens, 20 blue tokens, and 3 red tokens. Two tokens are randomly…

A: From the given information, there are 35 green tokens, 20 blue tokens and 3 red tokens. Total number…

Q: Using the Mean Value Theorem, prove that √1 + x² 0. Make sure to check all the necessary conditions…

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Q: Let Z∼N(0,1). Find P(-2<Z<1).

A: From the provided information,Z~N (0, 1)The probability P (-2&lt;Z&lt;1) need to be calculated.

Q: NCx) = x² - 2x - 5 MQx) = 2x+3 N of M

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Q: If X is uniform in the interval [-3,3] compute X(i.e. E{X}) and o² (i.e.E{(X-X)²}).

A: Given that X ~ U[-3,3] to find mean and variance

Q: For what values of c is ||c(1, 2, 3)|| = 1?

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Q: Find zo such that P(z>20 ) =0. 1234

A: We have given a standard normal distribution. We have to find the z-score corresponding to the…

Q: what is M<E

A: Solution-As the solution is given,

Q: Let 0 &lt; a &lt; b. Use the Mean Value Theorem to show that

A:

Q: Compute |x| and [x]= for each of the values of x 17/4

A: We have to compute the values of | x | and [ x ] for x = 17/4.

Q: Let n eN 1. Show that o (n²) = ng(n) 2. Show that o (n) +

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Q: 31. Letf(x) = [x²/3]. Find f(S) if a) S = (-2,-1, 0, 1, 2, 3). b) S = {0, 1, 2, 3, 4, 5). c) S = {1,…

A: 31. Given the function is                            f(x)=x23.

Q: [F] Interpolate the missing entries. 0 1 2 3 4 5 7 8 f(x) 6 7 20 130 432 1022 a a = C =

A: If there are n value for y are given, then it is assumed that the degree of the polynomial is n-1 .

Q: ind the m<t

A: Given: m&lt;R=140 m&lt;S=80 Find: m&lt;T=?

Q: let  A= [23−15][23−15]. find||A||1

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Q: Calculate P(z<-1.2)

A: The z-score is standard normal variable with mean 0 and standard deviation 1.

Q: 1. Let a be a positive real number and n be a natural number. Define S = {x €R: x >0 and x" a?…

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Q: Prove that T S. Prove that S £ T.

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Q: Let the score on Fred’s first exam be q, the score on his second exam be s, and the score on his…

A: Score in first exam = q Score in second exam = s Score in third exam = t Total score = q + s + t…

Q: Suppose that Pr[A|B] = 1/3, Pr[A] = 1/6, and Pr[B Compliment] = 3/4. Find Pr[B|A Compliment]. (Hint:…

A: Given that, Suppose that P [A|B] = 1/3, P [A] = 1/6, and P [B Compliment] = 3/4.…

Q: 3 2 1 Let u [-]--[-]-[] -3 V 2 and w= 1 0 -1 4 (a) Show that B = {u, v, w} is an orthogonal basis.

A: The given vectors are:  u=3-30, v=22-1, w=114. (a) To show: {u,v,w} is an orthogonal basis. (b) To…

Q: (B) Prove that (Q,|·|) is not complete.

A: A metric space (X,d) is said to be complete iff every Cauchy sequence in X converges to a point in…

Q: Show that for all n E Z, n² 5.

A: Consider the given condition: This shows that whatever will be the values of n, it will always be…

Q: Verify Mean Value Theorem for the function 3x? - 4x +5 in [-1,1]

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Q: Compute ||A||||A||₁, and ||A|| 1' ||A|| F || ||A||₁ = ||A|| 00 II A = 12 0 [ 6 -3 -4 5 1 -6 6 -3

A: A matrix A=0-4561-6-3-36 To Find: AF'  , A1' , A∞

Q: If a z 0, then |a If a < 0, then |a||

A: if a&gt;=0, |a| = ?  if a&lt;0, |a| = ?

Q: Let x = [1, -3, 2]T. Find ||x||₁, ||x|4, and ||×||∞·

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Q: Use the Mean Value Theorem from §4.2 to prove that | sin(b) – sin(a)| < 16 – a| for any interval [a,…

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Q: Find the solution to this recursive relation an = an−1 − n, a0 = 4

A: Question: Find the solution to the recursive relation an=an-1-n,   a0=4

Q: [t was wrong

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.