1. If U = {1,2,3,4,5,6,7,8}and A = {3,4,5,6,7}
Then; A'= {1,2,8,

If you meant to say A' = {1,2,8}, then you are correct.

This is because you start with the universal set U = {1,2,3,4,5,6,7,8} and then you cross off the items 3,4,5,6,7 since those items are in set A.

So we get

{1,2,3,4,5,6,7,8}

{1,2,3,4,5,6,7,8} we'll be crossing the items in bold

{1,2,8}

This means that 1,2 and 8 are in set U but not in set A.

This is a linear function so it is going to have a constant rate of change (i.e. constant velocity).

First differentiate:

s(t) = 3 - 4t

s'(t) = -4

s'(8) = -4

(The instantaneous velocity at any point will also be -4)

Insert units here if you have them. Like if the y axis says metres, and the x axis says seconds, then your answer should be -4m/s.

Hope this helps.