1. Find the equation of the tangent line (in y = mx + b form) to the graph of y = 1/x2 at the point (2,1/4) Give a rough sketch of the graph and include this target line on the graph.
2. Suppose X and y are functions of t. If 3x2y + 2x = 2, and dy/dt= -4 when x = 2 and y= -3, then find dx/dt.
3. Boyle's law for gases states that if the temperature is constant, pv = c where p is pressure, V is volume and c is a constant. At a certain instant the volume is 60 in3, the pressure is 20 lb/in2 and the pressure is decreasing at a rate of 2 1b/in2 every minute. At what rate is the volume changing at this instant?