To approximate the volume with 8 boxes, we have to split up the interval of integration for each variable into 2 subintervals, [0, 1] and [1, 2]. Each box will have midpoint 
that is one of all the possible 3-tuples with coordinates either 1/2 or 3/2. That is, we're sampling 
at the 8 points,
(1/2, 1/2, 1/2)
(1/2, 1/2, 3/2)
(1/2, 3/2, 1/2)
(3/2, 1/2, 1/2)
(1/2, 3/2, 3/2)
(3/2, 1/2, 3/2)
(3/2, 3/2, 1/2)
(3/2, 3/2, 3/2)
which are captured by the sequence
with each of 
being either 1 or 2.
Then the integral of 
over 
is approximated by the Riemann sum,
(compare to the actual value of about 4.159)
Answer: 32
Step-by-step explanation: the big number is 64 and the smallest number is 32. 64-32=32
Answer:
adjacent
Step-by-step explanation:
they are next to and adjoining eachother
Answer:
effective annual rate is 6.16 %
Step-by-step explanation:
given data
rate = 6 % = 0.06
time 5 year = 10 semi annually
to find out
effective annual rate
solution
we know formula for annual effective rate of interest is
rate of interest = 
-1
put here all value
rate of interest = 
-1
rate of interest = -1
rate of interest = 0.061646
so effective annual rate is 6.16 %
Answer:
14/29. reduced form............
