Answer:
10 dollars
Step-by-step explanation:
That would make sense if $1 is 10 percent meaning 1/10 people have a chance of winning....
Answer:
Step-by-step explanation:
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We knownthe equation of a line is y = mx + b. where m is slope and b is y intercept.
the point slope equation of a line is y - y1 = m (x - x1)
plug in x1 and y1 and m
y- (5) = (3)(x - (-1))
y - 5 = 3x + 3
y = 3x + 8
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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