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Please show all steps, thank you 1. Determine the type of singularity of the function. If...
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2. Determine if a point x = -1, y = 2 is - a non-degenerate critical point - a local maximum or minimum of a function f(x, y) = xy2 + x2 – 2.cy + 4y2 + 2.c - 14y.
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1. The transfer function of a BIBO stable discrete system is given as H(z) = In((1-1.2z-1)(1-0.9z-1)) (a) Find h(n). (b) Find the ROC for H(z). (c) Find the pole-zero location for the system W(z) = dH(z) 2an (d) If x(n)-2 cos(EN, } 3 r(n-6), goes through the H(z) system above, find y(n).
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A cuboid is bounded by the planes x=0, x=1, y=0, y=3, z=0 and z=2. Use Gauss' Divergence Theorem to calculate SSsF. NºdS, the flux of the vector field F =x2i® + zjº+yk outward of the cuboid through its surfaces.
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Use power series to represent the functions: a) f(x) = 1 + 24 ( See ex. 6-3) b) 962) = ( p538 ) 7 Use properties of power series to represent the function f(x) = 2 Hint use tal above 1+24 can use the book , clan notes
Complex Analysis:
. (a) Find a single function f(z) which has all of the following properties: f(z) is discontinuous at the origin z = 0, at z = 1, and at all points z with Arg(z) = 7/4, but f(z) is continuous at all other points of C; • f(z) has a simple zero at z = :i; and f(z) has a pole of order 3 at z = n. Justify that your function f(x) has each of the properties...
HI, PLEASE ANSWER ALL PARTS AND PLEASE SHOW ALL WORKINGS STEP BY STEP. THANK YOU. a) Show from first principles that the Laplace transform of the function (0)=1, a 20 is f(3) = Make a note of any conditions imposed on the transform variable "s" to ensure the transform exists. (8 Marks) b) Find, using the appropriate theorem, the Laplace transform of a function f(t): f(t) = e-3t.sin(4t) OR Find the inverse Laplace transform of the following: ses f(s) =...
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K. Section 2.1 Find the indicated function values. h(x) -2 -2 a. h (-2) b. h (1) c. For what values of x is h(x) = -1?
complex anaylsis (cite all theorems used)
single function at all (if) Find a f(2) which has all of the following: - f(z) is discontinuous at the origing and discontinuous at all points z with Arg (Z) = I but fiz) is continuous other points of c. -, and at =1, f has a simple zero at z=i f has pole of order 3 at Z=T (ii) Determine whether (*) below is true or false. If true prove it; it false,...
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1. Determine the z-transform of the signal x(n)s {100 elsewhere 1} x(n)=( 0; elsewhere
Please show all steps for credit. Thank you. A function H(x) hashes an input x to an integer uniformly distributed between 1 and 10. If there are 100 random inputs, what is the probability that at least two have the same output?