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Question: Let φ = 2ωcv/c. Show that aωc is approximately equal to ωc +φ. It follows then that, for ω > 0, F(ω), the Fourier transform of the echo f(t), is approximately AaeibωΨ(ω + φ). Because the Doppler shift affects positive and negative frequencies differently, it is convenient to construct a related signal having only positive frequency components. Let G(ω)=2F(ω) for ω > 0 and G(ω) = 0 otherwise. Let g(t) be the inverse Fourier transform of G(ω). Then, the complex-valued function g(t) is called the analytic signal associated with f(t). The function f(t) is the real part of g(t); the imaginary part of g(t) is the Hilbert transform of f(t). Then, the demodulated analytic signal associated with f(t) is h(t) with Fourier transform H(ω) = G(ω+ωc). Similarly, let γ(t) be the demodulated analytic signal associated with ψ(t).
A manufacturer drills a hole through the centre of a metal sphere of radius 5cm. The hole has radius 3cm. What is the volume of the remaining ring?
Draw and briefly describe the conditions when the marginal rate of technical substitution (MRTS) equals the slope of the isocost curve. Label X2 input on the vertical axis.
Verify that the two subgroups A x {eB} and {ea} x B are normal in A x B, and that the two subgroups have trivial intersection.
The k-Path problem is the problem of determining whether a graph on n vertices has a path of length k, where k is allowed to depend on n. Show that the k-Path problem is NP-complete.
state the null and alternative hypotheses for each of the followingyou want to show an increase in buying and selling
factor the polynomial and state the multiplicity of each zero.1given x 2 and x 3i are two zeroes of a real polynomial
What is the total expected per-customer revenue for pizza slice sales and arcade token sales?
Use Cylindrical coordinates to evaluate the triple integral SSS_E sqrt(x^2+y^2)dV, where E is the solid bounded by the circular paraboloid z=16-1(x^2+y^2) and the xy-plane.
REAL ESTATE INVESTMENTS An investor purchased a piece of waterfront property. Because of the development of a marina in the vicinity.
Find a general solution to the differential equation.
Calculus: Most people have a body density between .95 and 1.05 times the density of water which is 62.5 pounds per cubic foot. Use your weight to estimate the volume of your body.
A volcano fills the volume between the graphs z=0 and z=1/(x^2+y^2)^9 and outside the cylinder x^2+y^2=1. Find the volume of the volcano.
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