Consider the curve given by x(t) = acos³ (t), y(t) = asin³ (t) for a > 0 and 0 ≤ t < 2π. ind the value of a for the arc length of the curve to be 30. Hint: it is useful to use the ymmetries of the curve, which is pictured below for a = 1. -0.5 05- 0 -0.5- 0.5

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