By the divergence theorem, the flux of across <em>S</em> is equal to the volume integral of over the interior of <em>S</em>.
We have
so that
To compute the volume integral, convert to spherical coordinates with
<em>x</em> = <em>ρ</em> cos(<em>θ</em>) sin(<em>ϕ</em>)
<em>y</em> = <em>ρ</em> sin(<em>θ</em>) sin(<em>ϕ</em>)
<em>z</em> = <em>ρ</em> cos(<em>ϕ</em>)
so that
<em>ρ </em>² = <em>x</em> ² + <em>y</em> ² + <em>z</em> ²
d<em>x</em> d<em>y</em> d<em>z</em> = <em>ρ </em>² sin(<em>ϕ</em>) d<em>ρ</em> d<em>ϕ</em> d<em>θ</em>
The region <em>T</em> is the interior of the sphere <em>S</em>, given by the set
So we have
Answer:
$ 175
Step-by-step explanation:
cost to make the shirt = the price of cloth+stitching expenses
C=800+200
C=1000 dollars
Profit that Derek made : selling price-expenses
P=1175-1000
p=175 dollars
Answer:
any way since the sides are the same leangth
Step-by-step explanation:
A prime number is a number that can have factors that is only 1 and itself. A composite number is a number that can have many differnt factors.
Answer:
ANSWER: 8
(I think)
Step-by-step explanation:
I kinda just counted it cant be more than 11 because if u have 4 more than it would be 11+15=26 too much and so is ten (both equations show why there too much) 10 10+14=24. Lets try 8 8+12=20 so your sis has 8 pairs