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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.
1. For a function f : Z → Z, let R be the relation on Z given by xRy iff f(x) = f(y). (a) Prove that R is an equivalence relation on Z. (b) If for every x ? Z, the equivalenc
show that the circle described on any focal chord of the parabola touches the directrix
Find out all the critical points for the function. Solution To determine the derivative it's probably simple to do a little simplification previous to we in fact diffe
THE MULTIPLICATION ALGORITHM : Some Class 3 children in a nearby school had been taught the standard multiplication. Algorithm, and had even done reasonably well in the tests bas
Prove that the intercept of a tangent between two parallel tangents to a circle subtends a right angle at the centre. Since Δ ADF ≅ Δ DFC ∠ADF = ∠CDF ∴ ∠ADC = 2 ∠CDF
Assume E is the event that a randomly generated bit string of length 4 starts with a 1 and F is the event that this bit string consists of an even number of 1's. Are E and F indepe
If α,β are the zeros of a Quadratic polynomial such that α + β = 24, α - β = 8. Find a Quadratic polynomial having α and β as its zeros.
WON 5 GAMES
Before we find into finding series solutions to differential equations we require determining when we can get series solutions to differential equations. Therefore, let's start wit
By selling a violin for $4950, giving a 10% discount on the marked price, a trader gained $950 on his investment, Find, Cost price.
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