This preview shows pages 1–2. Sign up to view the full content.
Name ____________________________
Date
____________________________
Period ____________________________
Calculus B
Use the initial conditions to solve each problem.
1.
There is initially a colony of 500 bacteria on a rotting piece of meat.
The population
b
grows according to
the equation
kb
dt
db
=
, where
k
is a constant and
t
is measured in hours.
If the population triples every five
hours, find an equation for
b
in terms of
t
.
2.
Pizza consumption,
p
, is given by the equation
kp
dt
dp
=
, where
k
is a constant and
t
is measured in days.
Initially there were 20,000 pizzas consumed, and the amount of pizza consumption doubled every 10 days.
Find an equation for
p
in terms of
t
.
3.
Sugar consumption,
s
, in Los Angeles is given by the equation
ks
dt
ds
=
, where
k
is a constant and
t
is
measured in years.
Initially there was 100,000 barrels of sugar consumed.
The amount of consumption
triples every two years.
Find an equation for
s
in terms of
t
.
4.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 02/21/2010 for the course MATH 1A/Ma taught by Professor (all) during the Spring '10 term at University of California, Berkeley.
 Spring '10
 (All)
 Calculus

Click to edit the document details