Answer:
4 - pound bag of pears for $14.08
Step-by-step explanation:
To find out which is the better deal, we have to simplify it.
By dividing $14.08 by 4, this gives us the amount of $ each pound costs, which is $3.52.
Now let's find out the amount of $ each pound costs for the 94- ounce bag of pears for $22.56.
First, we need to convert from ounces (oz) to pounds (lbs).
There are 16 ounces in one pound, and we have 94 ounces. So, 94/16 = 5.875 pounds. So there are 5.875 lbs in the $22.56 bag. Now we need to find the amount of $ each pound costs. So we divide $22.56 by 5.875 and we get $3.84.
$3.52 < $3.84 (this is the amount of money each pound of pears cost for each bag). The first bag is cheaper per pound, so they should buy the first one (which is the 4 pound bag btw).
Answer: 150 min
Step-by-step explanation:
2 hours = 120 min, 120 + 30 min = 150 min
4.16 rounded to the nearest whole is 4.2.
Consider the closed region

bounded simultaneously by the paraboloid and plane, jointly denoted

. By the divergence theorem,

And since we have

the volume integral will be much easier to compute. Converting to cylindrical coordinates, we have




Then the integral over the paraboloid would be the difference of the integral over the total surface and the integral over the disk. Denoting the disk by

, we have

Parameterize

by


which would give a unit normal vector of

. However, the divergence theorem requires that the closed surface

be oriented with outward-pointing normal vectors, which means we should instead use

.
Now,



So, the flux over the paraboloid alone is