Consider a triangle with sides of lengths a and b that make an interior angle θ.
(a) If a = 3, b = 4, and θ = π/3, to changes in which of these measurements is the area of the triangle most sensitive?
(b) If the length measurements in part (a) are in error by as much as 5% and the angle measurement is in error by as much as 2%, estimate the resulting maximum percentage error in calculated area.
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