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Problem 1. Two vertical poles of heights 60 ft and 80 ft stand on level ground, with their bases 100 ft apart. A cable that is stretched from the top of one pole to some point on the ground between the poles, and then to the top of the other pole. What is the minimum possible length of cable required? Justify your answer completely using calculus. 
file:///C:/Users/Owner/Downloads/Adobe%20Scan%20Nov%203,%202020(1).pdf



Problem 2. Use calculus to find the point $(x,y)$ on the parabola traced out by $y = x^2$ that is closest to the point $(3,0)$. 
file:///C:/Users/Owner/Downloads/Adobe%20Scan%20Nov%203,%202020%20(2).pdf





