A commission is a percentage of total sales,
multiply the rate of commission by the total sales
8/4 should work, because the numerator's higher than the denominator.
Answer:
= 
Step-by-step explanation:
In this case in order to simplify we need to know what the "power rule of exponents" is. Simply speaking this rule states that when you raise a power to a power you multiply the exponents. So in our case we ill get the following
= 
In order to get 42 we used the power rule which I mentioned earlier.
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)
For more information about differential equation, visit
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