Anna has 10 to the 2nd power quarters. Jazmin has 10 to the second power dimes Who has more money, Anna or Jasmine? How much mor
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Because I've gone ahead with trying to parameterize directly and learned the hard way that the resulting integral is large and annoying to work with, I'll propose a less direct approach.
Rather than compute the surface integral over straight away, let's close off the hemisphere with the disk
of radius 9 centered at the origin and coincident with the plane
. Then by the divergence theorem, since the region
is closed, we have
where is the interior of
.
has divergence
so the flux over the closed region is
The total flux over the closed surface is equal to the flux over its component surfaces, so we have
Parameterize by
with and
. Take the normal vector to
to be
Then the flux of across
is
Answer: a) 720, b) c) 336, d) 30240 e) 120.
Step-by-step explanation:
Since we have given that
a) Number of competitors = 6
We need to find the number of ways that 6 competitors can finish a race and there are no ties.
So, Number of ways would be
b) number of people = n
Number of chairs = r (r<n)
so, the number of ways we can sit n people on r<n chairs is given by
c) If there are three awards :
Gold, silver, bronze.
We need to find the number of ways that these medals can be awarded.
Number of ways is given by
d) Number of 5-digit zip codes are possible is given by
e) Number of poeple = 10
Number of people required in committee = 3
Number of different 3 person committee that are selected from 10 people is given by
Hence, a) 720, b) c) 336, d) 30240 e) 120.