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Unformatted text preview: C ( h,k ) and radius r . Find a relationship between x and y if P ( x,y ) is any point on the circle. 6? ± Equation of a Circle with center C ( h,k ) and radius r (Standard Form) Lecture 1 10 Ex: Find the equation of the circle with a) center (6 , 1) and radius 4 b) center located at the origin and radius r c) center (3 ,2) and containing the point (1 , 1) Lecture 1 11 Additional Examples Ex: Find the relationship between x and y if the point ( x , y ) is equidistant from (3 , 1) and (5 ,3). Lecture 1 12 Ex: A company wishes to run a cable from an island 6 miles from shore to a station 9 miles down the coast from a point on shore directly across from the island. If it costs $400 per mile to lay the cable on land and $500 per mile underwater, ﬁnd the cost of laying the cable in terms of x as shown below....
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 Spring '08
 Smith
 Calculus, Cartesian Coordinate System, $400, $500, 6 miles

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