(a) Graphical Reasoning Use a graphing utility to graph the functions
f(x) = 2 cos 2x + 3 sin 3x and
g(x) = 2 cos 2x + 3 sin 4x.
(b) Use the graphs from part (a) to find the period of each function.
(c) Is the function h(x) = A cos αx + B sin βx, where α and β are positive integers, periodic? Explain your reasoning.
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