A. formulate a related decision problem for the independent-set problem, and prove that it is np-complete. (hint: reduce from the clique problem.)
b. suppose that you are given a "black-box" subroutine to solve the decision prob- lem you defined in part (a).
give an algorithm to find an independent set of max- imum size. the running time of your algorithm should be polynomial in jv j and jej, counting queries to the black box as a single step.

Technician a says that with self-adjusting clutch systems, the release bearing constantly rotates. technician b says that the ball bearing portion of the release bearing should be lubricated with high-temperature grease during routine maintenance. which technician is correct?

Now you’re on your own. include a short summary of this section with plots in your lab report. write a matlab script file to do steps (a) through (d) below. include a listing of the script file with your report. 1 the soundsc(xx,fs) function requires two arguments: the first one (xx) contains the vector of data to be played, the second argument (fs) is the sampling rate for playing the samples. in addition, soundsc(xx,fs) does automatic scaling and then calls sound(xx,fs) to actually play the signal. mcclellan, schafer, and yoder, dsp first, 2e, isbn 0-13-065562-7. prentice hall, upper saddle river, nj 07458. c 2015 pearson education, inc. 4 mcclellan, schafer and yoder, signal processing first. prentice hall, upper saddle river, new jersey, 2003. c 2003 prentice hall. (a) generate a time vector (tt) to cover a range of t that will exhibit approximately two cycles of the 4000 hz sinusoids defined in the next part, part (b). use a definition for tt similar to part 2.2(d). if we use t to denote the period of the sinusoids, define the starting time of the vector tt to be equal to t , and the ending time as ct . then the two cycles will include t d 0. finally, make sure that you have at least 25 samples per period of the sinusoidal wave. in other words, when you use the colon operator to define the time vector, make the increment small enough to generate 25 samples per period. (b) generate two 4000 hz sinusoids with arbitrary amplitude and time-shift. x1.t / d a1 cos.2

The length of time that a slide appears before automatically advancing to the next slide can be set in the timing group under the transitions tab. transition to this slide group under the transitions tab. timing group in the master slide view. transition to this slide group in the master slide view.