The position of a particle along the x-axis is modeled by the differential equation x sin dx dt J1+r Where x is in centimeters and t is in seconds. Use the initial values x(0) = 5 cm. (a) Use Euler's method to calculate the approximate value of x from t = 0 to t = 10 s, using a step size of 0.5 s. (b) Calculate the absolute percent relative error in each calculation. (c) Plot a line graph of x vs. t. (Choose smooth in the chart option). Notes: Show the first step of your computations in (a) and (b). Use excel or google sheet and take a snapshot of the tabulated values and the graph. Paste in google docs, MSWord or Powerpoint and save as PDF file.

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