# Matlab work | Mathematics homework help

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``%% Lab 5 - Your Name - MAT 275 Lab% The Mass-Spring System%% EX 1 10 pts%A) 1 pts | short comment%%B) 2 pts | short comment%%C) 1 pts | short comment%%D) 1 pts%E) 2 pts | List the first 3-4 t values either in decimal format or as %fractions involving pi%F) 3 pts | comments. | (1 pts for including two distinct graphs, each with y(t) and v(t) plotted)%% EX 2 10 pts%A) 5 pts % add commands to LAB05ex1 to compute and plot E(t). Then use ylim([~,~]) to change the yaxis limits.% You don't need to include this code but at least one plot of E(t) and a comment must be% included!%B) 2 pts | write out main steps here% first differentiate E(t) with respect to t using the chain rule. Then% make substitutions using the expression for omega0 and using the% differential equation%C) 3 pts | show plot and comment %% EX 3 10 pts%A) 3 pts | modify the system of equations in LAB05ex1a% write the t value and either a) show correponding graph or b) explain given matlab% commands%B) 2 pts | write t value and max |V| value; include figure%note: velocity magnitude is like absolute value!%C) 3 pts | include 3 figures  here + comments. % use title('text') to attach a title to the figure%D) 2 pts | What needs to happen (in terms of the characteristic equation)%in order for there to be no oscillations? Impose a condition on the%characteristic equation to find the critical c value. Write out main steps%% EX4 10 pts% A) 5 pts | include 1 figure and comment%B) 2 pts % again find dE/dt using the chain rule and make substitutions based on the% differential equation. You should reach an expression for dE/dt which is% in terms of y'%C) 3 pts | include one figure and comment``

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