Question 1. Find and explain the supremum and infimum of the following set A ={ 1/p-1/q:p, q∈N }

Question 2.

Determine the maxima, minima, and boundedness of the following sets, then justify your answers explicitly.

a) A = Q∩[0, 3)

b) B ={ x∈Q∶0≤x≤√(2 ) }

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a

b

d

step-by-step explanation:

this answer is !

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm