The resonant frequency f (in Hz) for the circuit shown is given by: f = 1/2 pi S

Question

The resonant frequency f (in Hz) for the circuit shown is given by: f = 1/2 pi Squareroot LC R_1^2 C - L/R_2^2 C - L Given L = 0.2 H, C = 2 times 10^-6 F, make the following plots: f versus R_2 for 500 lessthanorequalto R_2 lessthanorequalto 2000 Ohm, given R_1 = 1500 Ohm. f versus R_1 for 500 lessthanorequalto R_2 lessthanorequalto 2000 Ohm, given R_2 = 1500 Ohm. Plot both plots on a single page (two plots in a column). The speed distribution, N(v), of gas molecules can be modeled by Maxwell's speed distribution law: N(v) = 4 pi (m/2 pi kT)^3/2 v^2 e^-mv^2/2kT where m (kg) is the mass of each molecule, v (m/s) is the speed, T(K) is the temperature, and k = 1.38 times 10^-23 J/K is Boltzmann's constant. Make a plot of N(v) versus v for 0 lessthanorequalto v lessthanorequalto 1200 m/s for oxygen molecules (m = 5.3 times 10^-26kg). Make two graphs in the same plot, one for T = 80 K and the other for T = 300 K. Label the axes and display a legend. You are given the following vectors: X = [-3 1 -7 2 6 8] and Y = [-5 -2 2 3 4 10] Find the following variables: Z1 = X greaterthanorequalto Y Z2 = Y -5 Z4 = Y/2X = -0.5

Explanation / Answer

% some defining vertices A = [0,1]; B = [1,2]; C = [1,-1]; % collect coordinates X = [A(1), B(1), C(1)]; % x values Y = [A(2), B(2), C(2)]; % y values % compute area triangle_area = polyarea(X, Y); disp(['The area of triangle (A,B,C) is ' num2str(triangle_area) '.']); % plot triangle figure(1); fill(X,Y, [0,0.4,0]);

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