(a) Find the polynomial degree 3 in term of three linear factors if P(1) = P(-2) = 0,
P(3) = 200 and P(-1) = 8.
(b) Find the partial fraction for
12x³ + 1/P(x)
A polynomials is defined by P(x) = mx³ + mx² + mx + n where m and n are non-zero real constants. Given that x = -n is a root of P(x). Determine the range of the possible values of m.
a) given f(x)= { 2x²+1, x<-2
{ ax-1, x≥-2
Determine the value of a if
lim f(x) exists.
x -2
b) find the value of a such
that lim 2x²-ax-14/x²-2x-3
x -4
...esists. hence determine the value of the limit
If a student gets a Preliminary grade of 90, what is the final grade?
WRITTEN TASK
Quiz 1. 8 Make your own logarithmic function and then construct a graph.
Identify the following:
a.Domain
b.Range
c.X and y – intercepts
d.Zeroes
e.Asymptotes
4. Write out each of the phrases using symbols.
a) The set of integers is a subset of the set of real numbers.
b) The closed interval from 0 to 1 is not a subset of the open interval from 0 to 1.
Q5.Cheak if ϕ = X2– Y2+ Y represents the velocity potential for 2 dimensional
Irrotational flow. If it does than determine than determine stream function Ψ.
A stream function is given by Ψ = 2x- 5y. Calculate the velocity components
and also magnitude and direction of the resultant velocity at any point
A prospective business student desires to specialize in Marketing. He is told that he would also have to study business mathematics and quantitative techniques. He does not like mathematics and figures and wonders why he has to study these subjects yet his career aspiration is to be a marketing manager. Advise him.
Define mathematical literacy from the documents you have studied, excluding the Curriculum documents. Provide a complete exposition of how
you compiled your definition.