A triangle has vertices A, B, and C. The length of the side c = AB is increasing at the

Question:

A triangle has vertices A, B, and C. The length of the side c = AB is increasing at the rate of 3 inches per second, the side b = AC is decreasing at 1 inch per second, and the included angle ( is increasing at 0.1 radian per second. If c = 10 inches and b = 8 inches when ( = (/6, how fast is the area changing?

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