Answer:
$50,000
Step-by-step explanation:
We have an average of 10 livestock units per hectare
The number of units in 250 hectares will be;
250 * 10 = 2,500 units
Amount earned per unit is $20 per year
So, for 2,500 units, we have
2500 * $20 = $50,000
The solution to the given differential equation is yp=−14xcos(2x)
The characteristic equation for this differential equation is:
P(s)=s2+4
The roots of the characteristic equation are:
s=±2i
Therefore, the homogeneous solution is:
yh=c1sin(2x)+c2cos(2x)
Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:
yp=Axsin(2x)+Bxcos(2x)
If you take the second derivative of the equation above for yp , and then substitute that result, y′′p , along with equation for yp above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side, sin(2x) , you will find:
A=0
B=−14
Therefore,
yp=−14xcos(2x)
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The top 15% (85th percentile) is the cutoff value
such that
where
is the corresponding cutoff for the standardized normal distribution. We have
, and so
Now subtract, then add.
4 - 2 = 2 then add 12.
2 + 12 = 14.
Answer is 14.
One that has an "or equal to" line under the inequality sign.
