The figure shows carts A and B connected by a 39m long tight rope that passes over pulley P. Point Q is 12m directly below P. Cart A is being pulled away from Q at 4m/s. Use the information above to answer the following questions: | 12m A B Z 1) Let the distance of cart A from Q be z, and B from Q be x . Find an expression that relates z to x. 2) Use Implicit Differentiation to find the relationship between " and di 3) Use the result in (b) to find the speed at which cart B is moving towards Q when the distance z = 5m