In the limit as a pulse width (τ) for a given frequency (υ) goes to infinity, the frequency spread generated by the fft of the waveform goes to what? explain. if one wants to deliver radiation with a given frequency of very high precision to a sample, does the pulse need to be ‘short’ or ‘long’ ? explain. consider two arbitrary waveforms: one waveform is very sinusoidal in nature, the other is very “step-ish” and had non-smooth appearance. what can be said about the relative spread or distribution of sin/cos functions needed to reconstruct these waveforms?

Which is the best for showing percentages of different types of cars sold(gas hybrid , electric , other ) in the united states ?

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)

The first-order reaction a→2b+c has rate constant 0.538 s−1. if the initial concentration of a is 0.867 mol l−1, what is the half-life of the reaction in seconds? remember to use correct significant figures in your answer (round your answer to the nearest hundredth). do not include units in your response.