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)
I believe it would be the second graph. Having a proportional relationship in a graph means that the line would go through the origin (0,0)
The total amount he should pay is $69.6
20% of 58 is 11.6
11.6+58=69.6
Answer:
This type of data is called Box and Whisker plots
Step-by-step explanation:
This type of data tells you the range of the data as well as the inner quartile range as it shows the minimum, maximum, median, and Q1 and Q3.
The answer is 2.9 x 10^-3. You can just divide 5.8 and 2. You get 2.9. After when ever you are Dividing exponents you have to subtract the power. So (-6)-(-3) is just -3. So when you put it together you get 2.9 x 10^-3