1. For the relation wc + w3 = 3c+ 9, find an expression for dc/dw. 2. (a) Suppose for a certain product, P = 30x – 0.6x? – 100, where P is total profit (in dollars) from making and selling x units. By differentiating this equation with respect to time t, derive an equation that relates x, dx/dt and dP/dt.

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