Find dyfdz it 2:23; 33; = $3 3. Solve for y, then differentiate. = d: Find dyfds if $2 | 23:4 = a: + El. Do not solve for *3; rst; instead, use implicit differentiation. Leave y in your answer. _ dz_ Find the equation of the tangent line to the curve 313 433/2 | cos 3:53.! 2 2 at the point ((1,1). Er: 3+ lfy = 2335'\" + 332+1, nd Dzy using the generalized power rule in Theoreonn page 133. Use implicit differentiation to nd the slope of the tangent line to the curve 2:2 233; + 13,3 = 29 at the point [4,3]. m : 2 Find the equation of the tangent line to the curve {an ellipse} \"E + y; = 1 at the point (3, % E4]. The equation of this tangent line can be written in the form 3,: 2 mm | bwhere-mis: and where b is: A small balloon is released at a point 150 feet away.r from an observer, who is on level ground. If the balloon goes straight up at a rate of IE feet per second, how fast is the distance from the observer to the balloon increasing when the balloon is 12 feet high? feet per second Water is pouring into a conical tanlt at the rate of 8 cubic feet per minute. If the height of the tank is 10 feet and the radius of its circular opening is 'i" feet, how fast is the water level rising when the water is 4 feet deep? feet per minute