Suppose the legs, x and y, of a right triangle are increasing at a rate of 1 ft/sec and 2 ft/sec, respectively. At what rate is the hypotenuse increasing when y=3 and x=4 feet? In your solution, you should stick to the following steps: . Draw a diagram of that models the situation. . Describe any variables that are introduced, with units. . State the given rate(s) of change using appropriate notation, with units. . State the desired rate of change using appropriate notation, with units. . State the equation that relates the variables. . Find the appropriate derivative with respect to time. . Substitute in all known quantities and solve for the desired rate of change, with units