Consider the equation of the tractrix y = a sech -1 ( ) - Va2 - x2, a > 0. (a) Find dy dy 12 _ - al Va2 - x 2 ay = dx x Va 2 X (b) Let L be the tangent line to the tractrix at the point P. When L intersects the y-axis at the point Q, show that the distance between P and Q is a. First, find the equation of tangent line through P = (X, yo). y - a sech - 1 ( *0 ) + - x ( x - x0 ) X When x = 0, y = asech So, Q is the point ( 0, Finally, using the Distance Formula from P to Q, we show that: 2 - 2y d = sech -1 x 0 asech -1/ Your answer cannot be understood or graded. More Information X = a. Need Help? Read It Submit Ar