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Find the period of the function |sin³(x/2)| + |cos⁵(x/5)|.

1. 2π
2. 10π
3. 8π
4. 5π

Correct answer: 10π

Solution

The period of the function is determined by the individual periods of its components. The period of | sin³(x/2) is 4 and the period of | cos⁵(x/5) is 10, making the least common multiple 10.

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