Suppose that a dimension x and the area A-3x of a shape are differentiable functions of t. Write an equation that relates dA $5 dx dy Assume that y = 2x and = 6. Find dt dt = (Simplify your answer.) dt dx Assume that x = x(t) and y = y(t). Let y = x? +6 and. =4 when x=3. dt dy Find when x=3. dt (Simplify your answer.) The original 24 m edge length x of a cube decreases at the rate of 4 m/min. a. When x 3 m, at what rate does the cube's surface area change? b. When x 3 m, at what rate does the cube's volume change? a. When x = 3 m, the surface area is changing at a rate of m/min. (Type an integer or a decimal.)