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Matlab for Engineers, 5th Edition Portland Community CollegeENG 114Chapter_03_Homework_5th_Edition

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Matlab for Engineers, 5th Edition Chapter 3 Homework Solutions clear,clc Elementary Math Problems Problem 3.1 Find the cube root of −5, both by using the nthroot function and by raising −5 to ... the 1/3 power. Explain the difference in your answers. Prove that both results are indeed correct answers by cubing them and showing that they equal −5. a=nthroot(-5,3) a = -1.71 b=(-5)^(1/3) b = 0.85499 + 1.4809i a^3 ans = -5 b^3 ans = -5 + 2.2204e-15i Problem 3.2 MATLAB® contains functions to calculate the natural logarithm (log), the logarithm to the base 10 (log10), and the logarithm to the base 2 (log2). However, if you want to find a logarithm to another base—for example, base b—you’ll have to do the math yourself with the formula What is the logb of 10 when b is defined from 1 to 10 in increments of 1? b=1:10; log(10)./log(b) ans = Inf 3.3219 2.0959 1.661 1.4307 1.2851 1.1833 Problem 3.3 Populations tend to expand exponentially, that is,where P = current population = original population r = continuous growth rate, expressed as a fraction t = time. If you originally have 100 rabbits that breed at a continuous growth rate of 90% (r = 0.9) per year, find how many rabbits you will have at the end of 10 years. P0=100; r=0.90; P=P0*exp(r*10) P = 8.1031e+05 Problem 3.4 Chemical reaction rates are proportional to a rate constant k, that changes with temperature according to the Arrhenius equation [Show More]

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