exam four Flashcards
1
Q
the rate of change of sales is increasing
A
s’’ is positive
2
Q
sales are increasing at a slower rate
A
s’>0(+) and s’‘<0(-)
3
Q
the rate of change of sales is constant
A
s’=k and s’‘=0
4
Q
sales are steady
A
s’=0
5
Q
sales are declining but at a slower rate
A
s’<0(-) and s’‘>0(+)
6
Q
sales have bottomed out and have started to rise
A
s’=0 about to be s’>0 (+)
7
Q
the derivative measures
A
rate of change of cost
8
Q
profit=
A
revenue - cost
9
Q
average cost=
A
marginal cost (c.= c(x)/x)
10
Q
FTC 1
A
if f(x) is cont. on [a,b] and F(x)= that integral thing is differentable then F’(x)=f(x)
11
Q
FTC 2
A
if f(x) is cont. on [a,b] and F(x) is any antideravive of f(x) then the other integral thing= F(b)-F(a)
12
Q
rectangle info
A
A= Lw
P= 2L+2W
13
Q
box info
A
v=lwh
sa= 2lh+2lw+2wh
14
Q
circle info
A
A= pir^2
C= 2pir
15
Q
sphere
A
v= 4/3pir^3
sa= 4pir^2
