Answer:
(-5 , 1)
Step-by-step explanation:
If you are reflecting over the x-axis, you are changing the sign of the y.
If you are reflecting over the y-axis, you are changing the sign of the x.
In this case, you have the point (5 , 1). You are reflecting over the y-axis, which means that you are flipping the sign of the x value.
(5 , 1) reflected over the y-axis is (-5 , 1)
(-5 , 1)
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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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So, let's say that all the dogs had a number of x.
then 1/12 x were the Hound Group dogs.
then, out of the Hound Group,, that is 1/12 x, 3/10 were English Foxhounds.
For this, we need to multiply the fractions:
so of all the dogs at the show, the English Foxhunds were a 1/40 fraction,
If you would like to know the solution to the system of equations, you can do this using the following steps:
y = –5x + 3
<span>y = 1
</span>_______________
1 =<span> –5x + 3</span>
5x = 3 - 1
5x = 2 /5
x = 2/5 = 0.4
(x, y) = (0.4, 1)
The correct result would be (0.4, 1<span>).</span>
Answer: The perimeter of a square is defined as the length that its boundary covers. The formula to calculate the perimeter of a square is given as: P = 4 × side.
Step-by-step explanation:
