1. Given L = \\x2 + y2, a. Find dL/dt if dx/dt = -1 and dy/dt = 3, when x = 5 and y = 12. b. How does dx/dt relate to dy/dt if L is constant? 2. The surface area of a is given by S= mrs + mr. a. How is dS/dt related to drdt if s is constant? b. How is dS/dt related to ds/dt if neither r nor s is constant? 3. A child flies a kite at a height of 300 ft, the wind carrying the kite horizontally away from the child at a rate of 25 ft/sec. How fast must she let out the string when the kite is 500 ft away from her? 4. Given, y2 = 5x2- 4x, use implicit differentiation to find: a. dy/dx b. day/dx2