1) A baseball diamond has the shape of a square,
and each side is 80 feet long. A player is running from second to
third base, and he is 60 feet from reaching third. He is running at a speed of 28 feet per second. At what rate is the player's distance from home plate
decreasing?
2) x and y are both variables that are differentiable with respect to t, but not to each other. However, there IS a relationship between them: x^{2} = 3y^{2} + 7. We also know that x changes with respect to t at a steady rate of √12 (dx/dt = x' = √12). When x is 4, how fast does y change? |