By the divergence theorem,
![\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\iiint_{[0,\pi/2]^3}\mathrm{div}\vec F\cdot\mathrm dV](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Ciint_S%5Cvec%20F%5Ccdot%5Cmathrm%20d%5Cvec%20S%3D%5Ciiint_%7B%5B0%2C%5Cpi%2F2%5D%5E3%7D%5Cmathrm%7Bdiv%7D%5Cvec%20F%5Ccdot%5Cmathrm%20dV)
We have

Then the volume integral is

Ok so let’s start this way
Answer:
3.5 pounds of nuts; 6.5 pounds of M&Ms
Step-by-step explanation:
Let m represent the number of pounds of M&Ms to use. Then 10-m is the number of pounds of nuts, and the cost of the mix is ...
6·m + 3·(10-m) = 4.95·10 . . . . . cost = cost per pound times pounds
3m +30 = 49.5 . . . . . . simplify
3m = 19.5 . . . . . . . . . . . subtract 30
m = 6.5 . . . . . . . . . . . . . divide by 3
Then 10-m = 10-6.5 = 3.5.
The manager should use 3.5 pounds of nuts and 6.5 pounds of M&Ms in the mix.
Answer:
2.683281573
Step-by-step explanation:
Did it on a notebook and check if it was correct on my calculator. Please like and rate my answer.
36357272 is your answer :)