Math 213
Name:
Quiz 2
1. [5 points] A colony of bacteria grows from 15,000 cells to 20,000 cells in 10 minutes. What is the
doubling time of the population?
2. [5 points] A capacitor holds 20.0 mC of electric charge. The capacitor is attached to a light bulb,
and the charge begins to flow out at an initial rate of 0.500 mC/sec. How much charge will be left
in the capacitor after 30.0 sec?
3. [5 points] A mass-spring system with position function x(t) is oscillating with a frequency of 1.4/sec.
Given that x(0) = 0 and x0 (0) = 22 cm/sec, what is the amplitude of the oscillations?
4. [5 points] Solve the following boundary-value problem:
y00 = −4y,
y(0) = 2,
y
π 3
= 8.