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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.
Ut=Uxx+A exp(-bx) u(x,0)=A/b^2(1-exp(-bx)) u(0,t)=0 u(1,t)=-A/b^2 exp(-b)
6 male students and 3 female students sit around a round table. The probability that no 2 female students sit beside each other can be expressed as a/b, where a and b are coprime p
a²+b²=1 a+b
real numbers?
Calculate the value of the following limit. Solution: This first time through we will employ only the properties above to calculate the limit. Firstly we will employ prop
Q. Describe Standard Normal Distribution? Ans. The Standard Normal Distribution has a mean of 0 and a standard deviation of 1. The letter Z is often used to refer to a sta
a) Let n = (abc) 7 . Prove that n ≡ a + b + c (mod 6). b) Use congruences to show that 4|3 2n - 1 for all integers n ≥ 0.
Brad's class collected 320 cans of food. They boxed them in boxes of 40 cans each. How many boxes did they required? To find the number of boxes required, you should divide the
Find out all the numbers c that satisfy the conclusions of the Mean Value Theorem for the given function. f ( x ) = x 3 + 2 x 2 -
what is the nearest ten thousand of 92,892?
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