Second Semester 2008
David R. Wilkins
c David R. Wilkins 19892008
9 Elliptic Functions
9.1 Lattices in the Complex Plane . . . . . . .
9.2 Basic Properties of Elliptic Functions . . .
9.3 Summation over La
Faculty:HUMANITIES AND DEVELOPMENT STUDIES
Department:ECONOMICS AND PUBLIC AFFAIRS
Stream:ECONOMICS AND SOCIOLOGY
Course:FOUNDATIONS OF SOCIOLOGICAL THEORIES
Course Code:SOCI 301
FUCULTY OF HUMANITIES AND DEVELOPMENT STUDIES
DEPARTMENT OF PUBLIC AFFAIRS
COURSE TITLE: FOUNDATIONS OF SOCIOLOGICAL THEORY
COURSE CODE: SOCI 301
COURSE TUTOR: MR. OKUMU
ALEX MUIRURRI NJENGA
CALEB MUNGASIA MOMANY
Some Sample Probability Questions
1) A box of screws contains 5% defective screws. How many
screws have to be chosen at random before there's a greater than
50% chance that at least one is defective? (Assume that after
pulling several screws that the prob
Q1. A sphere was measured and its radius was found to be 45 inches with a possible error of no
more than 0.01 inches. What is the maximum possible error in the volume if we use this value of
the equation for the volume of a sphere.
Q1. What is an Asymptote?
A straight line is an ASYMPTOTE to a curve if and only if the perpendicular distance from a
variable point on the curve to the line approaches to zero as a limit when the point tends to
infinity along the curve on both sides or o
Let f (x, y) = 5x3y2. Determine the two partial derivatives.
f ( x, y )
, we keep the y variable constant. In other words, 5y2 is a constant.
5 x3 y 2
15 x 2 y 2
f ( x, y )
, we keep the
Q1. Use the midpoint and trapezoidal methods (with n = 4), as well as the Gauss method
(integration with 3 points), to approximate the following integral:
Compare their results against the analytical solution.
1. The extreme points are those on the edges of the feasible region.
Ie. (0, -0.5) (1, 1) (4, 0)
Solving for the LPP, we substitute this points into the objective function.
Value of Z=-2x1+x2
The smallest valu