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
The answer is c. To get to (-2,1) from (5,-4), you have to add subtract 7 from 5 and add 5 to 1.
Answer:
The answer should be around 1,149663 (Rounded off to the nearest whole number. Also if a population has a remainer you usually add it as 1. This is because these are people)
Step-by-step explanation:
First step involves listing the formulas being used:
600,000= population, 0.03= growth rate 22years= period
Therefore, we take the 600,000 and multiply by 1+0.03 ^22(to the power of 22 or period)
So, 600,000(1+0.03)^22
=1,149662.045 /1,149663
Hope this helps!
Answer:
m<6 is 102°
Step-by-step explanation:
Angles that are supplementary are equal to a total of 180°.
Subtract the 78 from the 180 to find your answer.
180-78=102