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Consider an analog clock with hour, minute, and second hands. suppose the hour hand has length 0.6, the minute hand has length 1, and the second hand has length 0.95. let t denote the number of seconds elapsed, starting with t = 0 at midnight. for example, t = 3600 at 1: 00am. at any given time t we can view the tip of each hand as a point in the two-dimensional complex plane. let h(t), m(t), and s(t) denote the positions at time t of the tips of the hour, minute, and second hands, respectively. for example, m(0) = j.(a) let t = 300, corresponding to the time 12: 05am. add up h(300) + m(300) + s(300) to get one complex number. express this number in cartesian coordinates.
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Consider an analog clock with hour, minute, and second hands. suppose the hour hand has length 0.6,...
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