() Find the distance from the origin to the closest point(s) on the graph of 14 x 2 + 26 x y + 14 y 2 = 10 We begin by computing d y d x implicitly for points ( x , y ) on the graph, obtaining: d y d x = equation editor We need to minimize the following function of x and y : f ( x , y ) = equation editor There are four critical points, located at the following x values (listed in increasing order): x 1 = equation editor x 2 = equation editor x 3 = equation editor x 4 = equation editor Thus there is/are equation editor point(s) closest to the origin, one of which is ( x , y ) = ( equation editor , equation editor ) and its distance from the origin is