Use Simpson’s Rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. Compare your answer with the value of the integral produced by your calculator.

The answer is "7.248934".

Step-by-step explanation:

The area of the curve obtained after rotating it about the x-axis is :

So, The area of the curve obtained after rotating it about the x-axis is :

Simpson's rule approximation with n=10 is:

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.