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
When you flip a coin twice, you have a 50/50 chance of it land on heads or tails.
The possible combinations for fliping a coin twice:
HH (heads/heads both times)
T/H(Tails/Heads)
H/T(Heads/Tails)
or the one you're looking for...
T/T (Tails/Tails both times)
You have a 1/4 chance of getting tails both times.
B is the correct answer, i believe
Answer:
SAS.
Step-by-step explanation:
They are congruent by 2 sides and the included angle
Answer:
216 people
Step-by-step explanation:
Given:
2.5 feet² is occupied by 1 person
Dimension of room = 216 in × 360 in
Required:
No. of people that would occupy the room
SOLUTION:
Step 1:
Convert the dimensions of the room from in to ft
Note: 1 foot = 12 inches
216 inches = 
360 inches = 
Step 2: calculate area of the room.
Area of the room = 30*18 = 540 ft²
Step 3: calculate the no. of people the room will contain.
2.5 ft² will contain one person
Therefore, 540 ft² will contain: 
