# derivatives of logarithms

• MATH233 Unit 4 Submission AssignmentNAME (Required): _____________________________ Dr. Claude Shannon (1916â€“2001), the father of information theory, observed that the maximum error-free capacity in bits per second (bps) that is obtainable in a communication channel can be found by the Shannonâ€“Hartley equation, as follows:C(SNR)=B(log2(1+SNR)) bpswhere B is the bandwidth of the channel in hertz, and SNR is the signal-to-noise ratio of the channel. Because SNRâ‰¤ 0 does not make sense in this situation, assume that the following formula is correct:SNR=Signal strengthâˆˆwattsNoise strengthâˆˆwatts>0This is a pure number with no unit labels on it. The value of C (SNR) is called Shannonâ€™s capacity limit, or channel capacity. This is the theoretical upper limit for the bits per second through the channel with a specific SNR value and a specific given channel frequency bandwidth, B, in hertz.Be sure to show all of your work details for all calculations and explain in detail how the answers for the critical thinking questions were determined. Round all value answers to 3 decimals.1. In this assignment, you will use the following version of the Shannonâ€“Hartley equation:C(SNR)=B(log2(1+SNR)) bpsIn the table below, based on

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