inf{a,b, : n e N} > (inf{a, : n € N}) × (inf{b, : n E N}). (1) Does the inequality (1) continue to hold if we no longer require the sequences an, bn to be non-negative? Justify your answer.

Q: 2. Show that (2) (¹)+(2-1). Can you provide = an interpretation of this equality?

A:

Q: (5) 7(3k – 1)² +26(3k – 1)–8

A: On simplifying the above expression,we get

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A:

Q: Use the set A = {2} to determine n(A). n(A) =

A: We have given a set  A=2 Number of elements in set A is 1. nA=1

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A:

Q: lin +²-25 ++-5 2t² + 1lt +5

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A: The objective is to calculate the value of n, for which the following equation is…

Q: Please don't provide handwritten solution ..

A: The symbol Γ(n) represents the gamma function, which is an extension of the factorial function to…

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A: Given,

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A: (a) The conditional statement "If a + 2 = 5, then 8 < 5" will be true when the expression "a + 2"…

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A: (.) Given,(.) Coordinate vector:  Let  be a basis of a vector space . Then coordinate vector of…

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A:

Q: Deduce from Q2 that if an integer N can be written as N = x² + ny² , and if a prime number q | N can…

A: We will use standard division algorithms to deduce the given statement.

Q: 1. (a) Prove that if alb and alc. then alb² + 10c + a.

A:

Q: For X - N(8, 6²), what is P(16 < X < 20)?

A:

Q: Suppose SCR is a set of numbers. (a) Define inf(S) and sup(S). (b) Show that inf(S) = - sup(-S). (c)…

A: Set: A well-defined collection of objects or numbers is called a set. We can write a set in two…

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Q: If t<0 andt2-4=0what is the value of 3t+5?

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Q: 8. f : {1,2,.5} × {1,2, . 8} → {1,2, . 40}. ...

A: Given: f:{1,2,...5}×{1,2,...8}→{1,2,...40} To find- A bijection f between the given sets.…

Q: Suppose that Pr[A|B] = 4/5, Pr[B|A] = 8/21, and Pr[A Compliment] = 2/5. Find Pr[A ∩ B Compliment].

A: Given, PrA|B=45PrB|A=821PrA'=25

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…