3.7 Rates Of Change Flashcards
1
Q
When does particle move in positive direction?
A
When v(t) > 0
2
Q
When does particle move in neg direction?
A
V(t) < 0
3
Q
When does particle speed up?
A
When velocity and acceleration have same sign
4
Q
When is a particle at rest?
A
When v(t) = 0
5
Q
Total distance traveled
A
Use position func.: pos for forward, neg for backward
6
Q
Marginal cost func=
A
C’(n)= [c (x + change in x) - c(x)]/ (change in x)
7
Q
What is marginal cost?
A
Instantaneous rate of change of cost with respect to # of items produced
8
Q
Position func
A
S(t)
9
Q
Velocity func
A
S’(t) = v(t)
10
Q
Acceleration func
A
S’’(t) = v’(t) = a(t)
11
Q
Jerk func
A
S’’’(t) = v’’(t) = a’(t) = j(t)
