November 30, 2011
4.1: Antiderivatives
November 30, 2011
November 30, 2011
November 30, 2011
The rate of growth dP/dt of a population of bacteria
is directly proportional to the square root of t ( P=
population size, t=time in days)
The initial population size is 500. After one day the
population has grown to 600.
a. Find the population P after t days.
b. Estimate the population after 7 days.
November 30, 2011
On the moon, the acceleration due to gravity is -1.6
meters per second per second. A stone is dropped from
a cliff on the moon and hits the moon's surface 30
seconds later. How far did it fall, and what was
the velocity at impact?
November 30, 2011
With what initial velocity must an object be thrown
upward from ground level to reach the top of the
Arch? Use a(t)=-32 feet per second per second as
the acceleration due to gravity.
November 30, 2011
HW: p.256 #63,67,69,73,75,77
Quiz Tomorrow: Integration, Trig
Integrals, Differential EQ (20 points)