Step-by-step explanation:
from,
An = 4n -13
A1 = 4 (1) - 13
> A1 = -9
A2 = 4(2) - 13
> A2 = -5
A3 = 4(3) - 13
> A3 = -1
A4 = 4(4) - 13
> A4 = 3
Answer:
c=80
Step-by-step explanation:
Based on my reading the critical damping occurs when the discriminant of the quadratic characteristic equation is 0.
So let's see that characteristic equation:
20r^2+cr+80=0
The discriminant can be found by calculating b^2-4aC of ar^2+br+C=0.
a=20
b=c
C=80
c^2-4(20)(80)
We want this to be 0.
c^2-4(20)(80)=0
Simplify:
c^2-6400=0
Add 6400 on both sides:
c^2=6400
Take square root of both sides:
c=80 or c=-80
Based on further reading damping equations in form
ay′′+by′+Cy=0
should have positive coefficients with b also having the possibility of being zero.
Answer:
here's a photo of the calculator to that question
an = a1+ d(n-1)
a1 =14
an=206 when n=25
206 = 14 + d (25-1)
206 = 14 + d * 24
subtract 14 from each side
192 = 24d
divide by 24 on each side
d=8
The common difference is 8
It should be E) none of the above because:
height = 0.5
Radius = 1
diameter = 2
