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Please do it in matlab and provide the code. Thank you. The amount of bioluminescence plankton distributed along the south-east coast of New South Wales,

Please do it in matlab and provide the code. Thank you.

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The amount of bioluminescence plankton distributed along the south-east coast of New South Wales, Australia, is given by the individu concentration c - plankton 13 colonies per litre of seawater (pd/L). Marks The concentration of plankton from a peak in spring decreases at a decay rate proportional to its concentration. In other words, it has a decay rate following dtdc=kc, where t is in days and k is a constant with units day 1. A) Assuming the peak concentration at t=0 is c0=112pc/L. Solve for the concentrations after 9 days (ie. when t=9 ) with k=0.44 day 1 and a step size of 1 for the four following methods, and write your answer accurate to 4 decimal places in the corresponding boxes, 1. Euler's method: 2. Heun's method: 3. Midpoint method: 4. MATLAB's ode45: Using the result you obtained for MATLAB's ode45 as the reference value, continue to halve the step size (i.e., divide by 2 ) and find the maximum value for each of the ODE methods above for the solution to be within 2% of this reference value. Provide the final plankton concentration and step size for each method in the boxes below, accurate to four decimal places. Also provide the number of the iterations

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