Question
The position of a particle is given by the parametric equations, x = 1 + sin(at) cos(nt) and y = 3 sin(t) + 2cos(t)
The position of a particle is given by the parametric equations, x = 1 + sin(at) cos(nt) and y = 3 sin(t) + 2cos(t) Answer the following, (a) Describe the graph of these parametric equations as t ranges over all real numbers. (In other words, find all possible positions of the particle.) (b) Describe the motion of the particle as t ranges from 0 to 2. (c) Find a parametrization such that the overall graph of this parametrization from t = 0 tot = 2 matches the graph of part (b), but the motion of the particle is different.
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An Introduction to the Mathematics of financial Derivatives
Authors: Salih N. Neftci
2nd Edition
978-0125153928, 9780080478647, 125153929, 978-0123846822
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