Linear Cubic Function Curve Fit

1. What does popt and pcov mean? Ans: The curve fit function returns two items, which we are popt and pcov. lets assume func  = ax + b 1) popt stands for optimal paramaters, The popt argument are the best-fit paramters for coefficient(a,b) of a function, the values of popt are not exact because there are only a limited…

% ode function(b,g,l,m,theta1,theta2) % ode_func is a function of t,theta,b,g,lmfunction [dtheta_dt] = ode_func(t,theta,b,g,l,m)theta1 = theta(1)theta2 = theta(2)dtheta1_dt = theta2; dtheta2_dt = -(b/m)*theta2 - (g/l)*sin(theta1);dtheta_dt = [dtheta1_dt; dtheta2_dt];end% writing script for motion of simple pendulum.clear…

# Otto cycle pv diagram import math import matplotlib.pyplot as plt # defining engine kinematics function def engine_kinematics(bore, stroke, con_rod, cr, start_crank, end_crank): a = stroke/2 r = con_rod/a # swept volume and clearence v_s = math.pi*(1/4)*pow(bore,2)*stroke v_c = v_s/(cr-1) # starting and ending crank…

% ode function(b,g,l,m,theta1,theta2) % ode_func is a function of t,theta,b,g,lm function [dtheta_dt] = ode_func(t,theta,b,g,l,m) theta1 = theta(1) theta2 = theta(2) dtheta1_dt = theta2; dtheta2_dt = -(b/m)*theta2 - (g/l)*sin(theta1); dtheta_dt = [dtheta1_dt; dtheta2_dt]; end % writing script for motion of simple pendulum.…