Problem 1. Find the equation of the tangent line to the curve determined by the equation y$2+($y)3 =2y+$3 at the point (1,1). Problem 2. (a) Find the linear approximation of 261/4 at a: : 16. (b) Use part (a) to approximate 171/4. Problem 3. A cowboy on his horse is herding a pair of cows in the desert when suddenly, at time t = 0 seconds, a desert gopher pops out of the ground and scares all the animals. The horse throws the cowboy off its back. One cow runs directly north at 8 meters per second the other cow runs directly east at 10 meters per second. When the cowboy gets back on his horse 10 seconds later how fast are the cows separating from each other