Reference no: EM131278312
Question 1: Verify Stoke's for F→ = (2x - y)i→ - yz2j→ - y2zk→
(1) over the surface of the box bounded by the planes
x = 0,x = a, y = 0, y = b, z = 0 and z = c.
where S is the upper half of the sphere x2 + y2 + z2 = 1 and C is the boundary in the xoy plane.
Question 2: X(t) is the input voltage to a circuit system and Y(t) is the output voltage.
{X(t)} is a stationary random process with the autocorrelation function Rxx(τ) = e-α|| IT'. Find
(i) Sxx((0), where Sxx(co) is the Fourier transform of Rxx(τ).
(ii) Ryy(τ),if the power transfer function is H(ω) = R/R+jLω, where Ryy(τ) denotes the inverse Fourier transform of Sxx(ω)|H(ω)2
Question 3: Find the inverse Z -transform of
F(z) = 1/ (1 - z-1)(1 - 0.5z-1)(1 - 0.75z-1).
Also compute f(n) for the first 25 integer values and plot a bar diagram using excel spreadsheet (attach a copy of the graph).
For detailed study of pedagogical things concerning this part of coursework, refer to the following Ebrary resources.
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