18 Prove that 1/√T + 1/2+...+ 1/√N¹ > YN for all NEN, NYI Step 1: N=2 1/12 > 12¹ = False

Q: Po fo 22 PE 1(1234)=PP 13)29 pz pz (1432) = p3 p3 pir %3D 12)(34) = E to C13) = pE PE For each…

A: Group D4 is the group of symmetries of the square. Through various rotations, set D4 is formed. In…

Q: 12- (-11)= Express your answer as an integer.

A: Let,  D=12-(-11)

Q: Select the function that is not (n²).

A: The Big Omega () notation represents the lower bound of the time complexity of an algorithm. An…

Q: 17. Let P1.Pn be positive real numbers such that P1+ + Pn=1. (a) Prove the following: @P² ≥ (ii)…

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Q: Write a in the form a=a+T+aNN at the given value of t without finding T and N. 4 r(t) = (41²) ₁ +…

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Q: Show that (an) is increasing

A:

Q: 3. (a) Find a unit in Z[√2] which is not equal to 1 or -1. Hint: Use 1 (b). (b) (*) Show that Z[√2]…

A: The objective of the question is two-fold. First, we need to find a unit in the ring Z[sqrt(2)] that…

Q: show that x'-15x +C= O has at most root on E2,2] one

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Q: Show that for any positive integers i and j with i > j, we have T;(x)T;(x) = [Ti+;(x) +T;-j(x)].

A: we have to show, for any positive integers i and j with i>j TixTjx=12Ti+jx+Ti-jx Now, we know…

Q: 3. Determine the 4th roots of -1.25-j2.3.

A: Given,          To determine the roots of the given complex number.