Show good relevant calculus so that anyone can understand your method. Your score will be based on the work that justifies your answer as well as the final solution. Be sure to include any diagrams and define all variables. Don't forget to include units! 1. If x = y + 2y and dy dx = 5 units/second, what is when y = 3? (3 points) dt dt 2. If the volume of a sphere is increasing at a constant rate of 9 cm/min, how fast is the radius of the sphere changing when it's 4 cm? (3 points)V, 4 = r sphere 3 -3 3. A 17-foot ladder is resting against a vertical wall. The top starts to slip down at a rate of 2 inches every minute. How fast is the bottom of the ladder moving away from the wall when the top is eight feet from the ground? (4 points)