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.
Extreme point
(0,-0.5)
(1,1)
(4,0)
Value of Z=-2x1+x2
-0.5
-1
-8
The smallest valu

LAIKIPIA UNIVERSITY
FUCULTY OF HUMANITIES AND DEVELOPMENT STUDIES
DEPARTMENT OF PUBLIC AFFAIRS
COURSE TITLE: FOUNDATIONS OF SOCIOLOGICAL THEORY
COURSE CODE: SOCI 301
COURSE TUTOR: MR. OKUMU
PRESENTERS
ALEX MUIRURRI NJENGA
M16/2073/12
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 radius?
Solution
the equation for the volume of a sphere.
4

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

[Name]
Q1.
Let f (x, y) = 5x3y2. Determine the two partial derivatives.
Solution
To determine
f ( x, y )
x
, we keep the y variable constant. In other words, 5y2 is a constant.
So
5 x3 y 2
x
3 5x
31
y2
15 x 2 y 2
To determine
f ( x, y )
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:
1
x dx
2
0
Compare their results against the analytical solution.
Solution
Midpoint method:
The int

CALCULUSIII
PaulDawkins
Calculus III
Table of Contents
Preface . iii
Outline . iv
Three Dimensional Space. 1
Introduction . 1
The 3-D Coordinate System . 3
Equations of Lines . 9
Equations of

Laikipia University
Faculty:HUMANITIES AND DEVELOPMENT STUDIES
Department:ECONOMICS AND PUBLIC AFFAIRS
Stream:ECONOMICS AND SOCIOLOGY
Course:FOUNDATIONS OF SOCIOLOGICAL THEORIES
Course Code:SOCI 301
Task:SOCIOLOGIOCALCONTRIBUTIONSOF
EMAILE
DURKHEIM
Presen