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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.
Find the value of x if 2x + 1, x 2 + x +1, 3 x 2 - 3 x +3 are consecutive terms of an AP. Ans: a 2 -a 1 = a 3 -a 2 ⇒ x 2 + x + 1-2 x - 1 = 3x 2 - 3x + 3- x
A 90% acid solution is mixed with a 97% acid solution to obtain 21 litres of a 95% solution. Findout the quantity of every solutions to get the resultant mixture.
Children Learn By Experiencing Things : One view about learning says that children construct knowledge by acting upon things. They pick up things, throw them, break them, join the
Product Rule: (f g)′ = f ′ g + f g′ As with above the Power Rule, so the Product Rule can be proved either through using the definition of the derivative or this can be proved
solve the inequality (2^x+1)(3^x+1)(4^x+1)
Union of Sets Venn diagram presenting the union of sets A and B or A?B = Shaded area is demonstrated below: A ?B = Shaded area
In an election contested between A and B, A obtained votes equal to twice the no. of persons on the electoral roll who did not cast their votes & this later number was equal to twi
The product on multiplying - 4bc with 2a is - 8abc. That is, a term with minus sign multiplied with a term having a positive term gives a product which has a minus sign. On the
Solve the subsequent IVP. y′′ + 11y′ + 24 y = 0 y (0) =0 y′ (0)=-7 Solution The characteristic equation is as r 2 +11r + 24 = 0 ( r + 8) ( r + 3) = 0
advantages of vogel''s approximation method over north west corner method
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