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In a digital filter, one of the parameters in its difference equation is given by the formula
a) Show that the above formula has one horizontal and one vertical asymptote.
b) show that the graph of 11 against x passes through the origin'
c) By attempting to find the turning points of the above function, show that there aren't any.
d) Sketch the graph of Y against x.
e) From the resulting sketch, find:
i) The value that y approaches to whenever r increases to a very large number.
ii) The sampling interval T if, as the parameter y increases, x is required to approach the value -2.
Given the vectors u = 3 i - 2 j + k , v = i + 2 j - 4 k , w = -2 i + 4 j - 5 k use vector methods to answer the following: (a) Prove u , v and w can form
Donald sold $5,250 worth of latest insurance policies last month. If he receives a commission of 7% on new policies, how much did Donald earn in commissions last month? To ?nd
Standard interpretations to derivatives Example Assume that the amount of money in a bank account is specified by P (t ) = 500 + 10
using 5 rectangles what is the area under a curve using the function f(x)=3x+4 and boundries [0,2]
Vector Form of the Equation of a Line We have, → r = → r 0 + t → v = (x 0 ,y 0 ,z 0 ) + t (a, b, c) This is known as the vector form of the equation of a line. The lo
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Find the remainder when 7^103 is divided by 24 Solution) we know by the concept of mod that..... 49 is congruent to 1 mod 24(means if 1 is subtracted fom 49 u get 48 which is
Limits At Infinity, Part II : In this section we desire to take a look at some other kinds of functions that frequently show up in limits at infinity. The functions we'll be di
An irrigation system uses a straight 30m sprinkler pipe which is capped at one end and arranged so that all water is released directly downwards and pivots around a central point.
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