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.
Therefore, the slope of the line is 1. In case if you want to know the equation.
Therefore, the equation is y=x+10 by substituting the (-6,4) or we can substitute (6,16) too.
It's the same, you can use any orders given.
Overall, the slope is 1 and the equation is y=x+10
I believe it would take you 7 hours at that miles per hour
I believe the answer is (z - 1)(z - 12).
Hope this helps!
I hope this helps you
4.4-7,8
16-7,8
8,2
