It looks like the differential equation is
Check for exactness:
As is, the DE is not exact, so let's try to find an integrating factor <em>µ(x, y)</em> such that
*is* exact. If this modified DE is exact, then
We have
Notice that if we let <em>µ(x, y)</em> = <em>µ(x)</em> be independent of <em>y</em>, then <em>∂µ/∂y</em> = 0 and we can solve for <em>µ</em> :
The modified DE,
is now exact:
So we look for a solution of the form <em>F(x, y)</em> = <em>C</em>. This solution is such that
Integrate both sides of the first condition with respect to <em>x</em> :
Differentiate both sides of this with respect to <em>y</em> :
Then the general solution to the DE is
Answer:
Step-by-step explanation:
Total apples = 40
Time = 5 min
Unit rate = 40 ÷ 5 = 8 apples per min
Answer:
<h2>
a) 0.38</h2><h2>
b) 0.62</h2><h2>
c) 0.78</h2><h2>
d) 0.03</h2><h2>
e) 0.02</h2><h2>
f) 0.62</h2><h2>
g) 0.38</h2>
Step-by-step explanation:
a)
Probability of a owner to be moved = 
= 0.379 ≅ 0.38
b)
Probability of a renter to be moved = 
= 0.62
c)
Probability of a person who moved in the same state = 
= 0.779 ≅ 0.78
d)
Probability of a person who moved to a different country = 
= 0.033 ≅0.03
e)
Probability of a owner who moved to a different country = 
= 0.02
f)
Probability of a renter moving in the same state = 
= 0.615 ≅ 0.62
g)
Probability of an owner moved to different state = 
≅0.38
