Math 32L Professor Bookman Will Park Jeff Chen Ralph Nathan Air Pollution: Particulate Matter Lab Report Part 4 1.)
M Volume Density 4 p g M 1012 cm3 1.5 3 3 2 cm M 2.5( ) p 3 1013 g
3
2.) Total Mass = Mass of particle * number of particles
Summary of Convergence Tests for Series
Test term test (or the zero test)
n
th
X
I X
n n
Series
an
Convergence or Divergence Diverges if lim
n n
Comments Inconclusive if lim
n
Geometric series
=0
ax
or
I X
n
=1
ax
1
!
3I an T= 0
1 x
a
Name:_ Day 12 Graded Homework Due Day 13 The curves with equations x n + y n = 1 , n = 4, 6, 8,., are called fat circles. Graph the curves with n = 2, 4, 6, 8, and 10 to see why. Set up an integral for the arclength L2 k of the fat circle with n = 2
306090 Triangles
A 306090 triangle is a triangle with angles of 30, 60, and 90. What makes it special is the specific pattern that the lengths of the sides of a 306090 triangle follow. Suppose the short leg, opposite the 30 angle, has length x. The