dy Find for dac pcosy = x arctany dy NOTE: Differentiate both sides of the equation with respect to r, and then solve for dy Do not substitute for y after solving for dy dxd . . (a) Find % given that m2 + y2 3:5 + 5y 2 8. NO TE.- Diemnaie both, sides of the Equation with respect to I. and than mine for 33;. :8 _ , :13; Do not substitute for 3: after anfmng for d_ a; (b) At what points is the tangent line horizontal? vertical? The GUI-"VB 1133 a tangent line when m = - The curve has a Choose one tangent line when y : - vertical horizontal 3:2 2 Find the slope of the tangent line to the ellipse E + 3% : 1 at the peit (:3, y). NOTE: Dierentiaie both sides 0}\" the Equation with respect tn :1\". and then solve for $1: . J Do not substitute for y after 3:33an for if. a: {x (a) Choose the correct equation(s) of the tangent 1ine(s) to the circle 3:2 + y:2 : 25 at the points where :1: : 4. (13) Cheese the correct equation(s) of the normal line(s) to this circle at the same points. (The normal line is perpendicular to the tangent line at that point.) Find the equation of the tangent line to the curve y = x- at x = 1. This line is also a tangent to a circle centered at (28, 0). Complete the equation of this circle. (2 - 28)2+ 32