For this problem, we define the
fractional part of x∈R_(≥0) as
{x} = x − ⌊x⌋
where ⌊x⌋ is the integer part of x, i.e
the greatest integer less than or equal
to x.
(a) Draw the function {x} in a cordinate
system for 0≤x≤3
(b) Find the area A_n , under the graph
of {x} between 0 and n∈N as given by
A_n =∫_0 ^n {x}dx.
M.m
We have 7 sets with 2 subsets each (yes and no are the 2 subsets of each of the 7 sets) how many possible combinations are there if one of the subset is picked for each of the 7 sets.
the average of 10 numbers is 5. the
sum of their squares is 5000. how
large can the largest number among
them at most be and how small can
the smallest number among them
at most be?