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["Minimum Distance from Point to Circle"]
[]
[null,"This DIGMath module lets you investigate "]
[null,"         the calculus problem of finding"]
[null,"     the point on the circle x2 + y2 = r2"]
[null,"    that is closest to a given point (a, b)."]
[]
[]
["What is radius of the circle r (from 1 to 10)?"]
[{"$nulls":3},5,{"$f":"D10","v":5},"= r"]
[]
["The particular point is at (a, b)."]
["What is a (from -5 to 10)?"]
[{"$nulls":3},11,{"$f":"(D14-5)/1","v":6},"= a"]
[]
[]
["What is b (from -5 to 10)?"]
[{"$nulls":3},11,{"$f":"(D18-5)/1","v":6},"= b"]
[]
[]
[]
["Click each item below for suggestions and investigations"]
[null,null,"   Item 1",{"$nulls":7}," Select a point x0 on the circle (-r to r):",{"$nulls":3},{"$f":"-RR+N24*dx","v":3.5600000000000005},"= x0"]
[null,null,"   Item 2",{"$nulls":10},214]
[null,null,"   Item 3"]
[{"$nulls":10},"The corresponding height on the circle y =",{"$nulls":3},{"$f":"SQRT(RR^2-x0^2)","v":{"v":3.51089732119867,"d":"3.511"}}]
[]
["Created by:  Sheldon P. Gordon   ",{"$nulls":10},"        The distance to the point is D =",null,null,{"$f":"Sheet2!J17","v":{"v":3.4853983545162976,"d":"3.485"}}]
["                  Farmingdale State College   "]
["Development of this module was supported by the ",{"$nulls":9},"The value of the derivative at this point D' =",{"$nulls":3},{"$f":"Sheet2!I21","v":{"v":0.004412783954765853,"d":"0.004"}}]
["NSF's Division of Undergraduate Education  "]
["under grants DUE-0310123 and DUE-0442160."]
[{"$nulls":10},"The formula for the distance function is:"]
[]
[]
["To access/download all the DIGMath Apps for Calculus"]
["      Click this link:",null,"DIGMath for Calculus"]

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