Calculating positions from GPS satellite data cannot be done accurately without accounting for the effects of special relativity, a theory in which the Lorentz factar y() =(1- )7 plays a crucial role. Here, v represents the velocity of a particle, where v = 0 means 'stationary' while v = 1 means 'speed of light (in a vacuum)'. a) * Determine the Maclaurin series of y(v) up to and including the v? term 'by hand'; and, * use MATLAE to check the result of your 'by hand' calculation (include a screenshot showing both INPUT and OUTPUT). Category B Delete this text and use this space to present your 'working out'. Make this row as deep as is necessary to contain your WOrK. Replace this text with your answer. Screenshot of | Aeplace this text with your screenshot. Maclaurin series up to and including v* (INPUT and QUTPUT) use MATLAB to plot y (v) and your Maclaurin series from part a) on the same axes [ on the horizontal axis) over the range 0