By the divergence theorem, the surface integral given by
(where the integral is computed over the entire boundary of the surface) is equivalent to the triple integral
where
is the volume of the region
bounded by
.
You have
![\implies \nabla\cdot\mathbf F=\dfrac{\partial}{\partial x}[x^2y]+\dfrac{\partial}{\partial y}[xy^2]+\dfrac{\partial}{\partial z}[4xyz]=8xy](https://tex.z-dn.net/?f=%5Cimplies%20%5Cnabla%5Ccdot%5Cmathbf%20F%3D%5Cdfrac%7B%5Cpartial%7D%7B%5Cpartial%20x%7D%5Bx%5E2y%5D%2B%5Cdfrac%7B%5Cpartial%7D%7B%5Cpartial%20y%7D%5Bxy%5E2%5D%2B%5Cdfrac%7B%5Cpartial%7D%7B%5Cpartial%20z%7D%5B4xyz%5D%3D8xy)
and so the integral reduces to
On Monday, she read 33 pages (33 out of 100). On Tuesday, she read 40 pages (4/10 is equivalent to 40/100). On Wednesday, she read 35 pages. In total, the book is 100 pages. 33+40+35=108 pages. You cannot read 108 pages if there are only 100, so the answer is no.
Hello!
Y2-y1/x2-x1
1-9/8-6
-8/2
The slope is -4
Hope this helps!
-bambi
All of the above are true
Answer:
<u>The team building event will cost $24 for 4 attendees.</u>
Step-by-step explanation:
Given,
Cost charged corporate team building = $6 for every attendee
Number of attendees = 4
We will multiply the amount of one ticket with number of attendees in order to find the total cost.
Cost charged for 4 attendees = 6*4
Cost charged for 4 attendees = $24
