By Prof. Fazal Rehman Shamil

Q. (a) Solve the quadratic equation by factorization.
(b) Explain how to use the vertical line test to determine whether or not a set in the plane is the graph of some function.

Q. (a) Find the equation of the line that passes through the points (4, 5) and (8, 7).
(b) Find the equation of the straight line that has slope m = 4 and passes through the point (-1, -6).

Q. Use Gaussian elimination to solve the system of linear equations

Q. (a) Solve by the quadratic formula.
(b) The population of a city is P = 250,342e0.012t where t = 0 represents
the population in the year 2000.
i. Find the population of the city in the year 2010.
ii. Find when the population will be 320,000.

Q. (a) Solve the quadratic equation by factorization.
(b) Explain how to use the vertical line test to determine whether or not a set in the plane is the graph of some function.

Q. (a) Find the equation of the line that passes through the points (4, 5) and (8, 7).
(b) Find the equation of the straight line that has slope m = 4 and passes through the
point (-1, -6).

Q. Use Gaussian elimination to solve the system of linear equations.

Q. (a) Solve by the quadratic formula.
(b) The population of a city is P = 250,342e0.012t where t = 0 represents
the population in the year 2000.
i. Find the population of the city in the year 2010.
ii. Find when the population will be 320,000.

(a)Find the equation of the line that passes through the points (5, -9) and (6, 10).
(b)Find the slope and the y-intercept of the line.

Q. Solve the given system of linear equations by Gaussian elimination method

Q. Given the following system of equations, find the value of x, y, z

Q. (a) Use the alternative formula for standard deviation to find the standard deviation of the following set of numbers5, 6, 6, 7, 7, 8, 8, 8, 9, 10.
(b) Find the mean, median, and mode of the set of measurements 5, 12, 7, 14, 9, 7.

Q. (a)Define Time series and briefly explain its four components?
(b) Find the first and third quartiles of the set {3, 7, 8, 5, 12, 14, 21, 15, 18, 14}.

Q. (a)If X is binomially distributed with mean 3.20 and variance 1.152, find the complete binomial probability distribution.
(b)How does the correlation coefficient relate to the slope of the regression line?

Q. The number of industrial injuries per working week in a particular factory is known to follow a Poisson
distribution with mean 1.5.
Find the probability that
(a) in a particular week there will be:
i. less than 5 accidents,
ii. more than 5 accidents.
(b) in a three week period, there will be no accidents.

Q. (a)Write the slope-intercept form of the equation of the line with slope 3, and which passes through the point (1, −4).
(b)Write the equation of the line that passes through (1, −6) and (−1, 2).

Q. Solve the following system of equations using Gaussian elimination.

Q. Given the following system of equations, find the value of x, y, z by Cramer’s Rule. Prof.Fazal Rehman Shamil (Available for Professional Discussions)
1. Message on Facebook page for discussions,