Answer:
The percentage change (an increase) wa 40%.
Step-by-step explanation:
The beginning number of acres was 100; adding 40 more brought that to 140 acres. This was an increase. Dividing the increase (40) by the starting value (100) yields 0.40. Finally, multiplying this result by 100% yields 40%.
The percentage change (an increase) wa 40%.
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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Answer:
x=8.5
Step-by-step explanation:
Write an equation
2x+5=22
x represents he unknown number
Solve for x:
2x+5-5=22-5
2x=17
2x/2=17/2
x=8.5
Answer: B no
Step-by-step explanation:
Plot in the x and y coordinates into the equation to solve it.
The x coordinate is 4 and the y coordinate is 1
-4(4) +3(1)= 2
-16 + 3 = 2
-13 ≠2
-13 does not equal 2 so (4,1) is not a solution.
