The answer would be the second one.
Answer:
9
Step-by-step explanation: 36 divided by 4 is 9.
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:
7280000000 or 7.28^9 (in scientific notation)
Step-by-step explanation:
this question is asking you to transfer numbers out of scientific notation and multiply them. 10^6 is 1 followed by 6 zeros (good trick to remember) or 1000000. when you multiply anything by a power of 10 you just add that many zeroes to it or move the decimal point one point to the left for every zero. so in this example it is 5.2 times 1000000 which is 5200000. we do the same for the other one and we get 1400. When we multiply these two values we get 7280000000 or 7.28^9