A tugboat is travelling from Asaba to Onitsha across the River Niger with a resultant velocity of 20 knots. If the river flows at 12 knots, the direction of motion of the boat relative to the direction of water flow is?
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
Determine the value of k such that the
following system has (i) a Unique
solution (ii) No solution (iii) More than
one solution
(a) Kx + y + z = 1
x +Ky + z = 1
x + y + Kz = 1