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a piece of wire 60 inches long and cuts it into two pieces. Steve takes the rst piece of wire and bends it into the

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a piece of wire 60 inches long and cuts it into two pieces. Steve takes the rst piece of wire and bends it into the shape of a perfect circle. He then proceeds to bend the second piece of wire into the shape of a perfect square. Where should Steve cut the wire so that the total area of the circle and square combined is as small as possible? What is this minimal area? What should Steve do if he wants the combined area to be as large as possible? Problem 7. 15. Two particles are moving in the xy plane. The move along straight lines at con stant speed. At time t. particle A's position is given by x=t+2,y= %t3 and particle B's position is given by x=122t,y = 6 gt. (a) Find the equation of the line along which particle A moves. Sketch this line, and label A's starting point and direction of motion. [b] Find the equation of the line along which particle B moves. Sketch this line on the same axes, and label B's starting point and direction of motion. (c) Find the time (i.e.. the value of t] at which the distance between A and B is minimal. Find the locations of particles A and B at this time. and label them on your graph

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