Answer
Step-by-step explanation:x=7+y=2
is conservative if we can find a scalar function 
such that 
. This is equivalent to solving the system of PDEs,
Integrate both sides of the first PDF with respect to 
:
where 
is some function independent of . Then differentiatng with respect to 
, we have
and so is indeed conservative, with
Answer:
the probability is 2/9
Step-by-step explanation:
Assuming the coins are randomly selected, the probability of pulling a dime first is the number of dimes (4) divided by the total number of coins (10).
p(dime first) = 4/10 = 2/5
Then, having drawn a dime, there are 9 coins left, of which 5 are nickels. The probability of randomly choosing a nickel is 5/9.
The joint probability of these two events occurring sequentially is the product of their probabilities:
p(dime then nickel) = (2/5)×(5/9) = 2/9
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<em>Alternate solution</em>
You can go at this another way. You can list all the pairs of coins that can be drawn. There are 90 of them: 10 first coins and, for each of those, 9 coins that can be chosen second. Of these 90 possibilities, there are 4 dimes that can be chosen first, and 5 nickels that can be chosen second, for a total of 20 possible dime-nickel choices out of the 90 total possible outcomes.
p(dime/nickel) = 20/90 = 2/9
729 ÷ 3 = 243
so if you do 243 × 3 = 729
so your answer will be 243
Answer:
D: Sqrt 13
Step-by-step explanation:
I just did it on edg. 2020
