Answer:
C.
Step-by-step explanation:
Your answer is 0.40 ......................
Answer:
nth term = 18 - 3n
Step-by-step explanation:
nth term = a + (n - 1)d
a1 = 15
d = -3
nth term = a + (n - 1)d
= 15 + (n - 1)-3
= 15 + (-3n + 3)
= 15 - 3n + 3
= 18 - 3n
nth term = 18 - 3n
For instance, if you want to find the 10th term
nth term = 18 - 3n
10th term = 18 - 3(10)
= 18 - 30
= -12
10th term = -12
Answer:
2.
Step-by-step explanation:
Rotating a figure about the midpoint of its diagonal, the figure will coincide with its pre-image two times: at 180° and at 360°.
This is different than rotating about the origin; for a rotation about the origin, a 180° rotation does not always coincide with the pre-image.
hope that answers ur question :))))
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
brainly.com/question/18760518
