{1 point} The area of a square with side 3 is A[_a_] = .52. What is the rate of change of the area of a square with respect to its side length when a = 3'? (1 point) Let A be the area of a circle with radius r. If = 4, find dA dt dt when r = 3. Answer:A road perpendicular to a highway leads to a farmhouse located 8 mile away. an automobile traveling on the highway passes through this intersection at a speed of 'i'mph. How fast is the distance between the automobile and the farmhouse increasing when the auto mobile is 7' miles past the intersection of the highway and the road? The distance between the automobile and the farmhouse is increasing at a rate of miles per hour. A hot air balloon rising vertically is tracked by an observer located 3 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is = , and it is changing at a rate of 0.1 rad/min. How fast is the balloon rising at this moment? miles/min(1 point) Find the absolute maximum and minimum values of f (a ) = (x2 - x) over the interval [-4, 3]. absolute maximum is and it occurs at x = absolute minimum is and it occurs at x = Notes: If there is more than one c value, enter as a comma separated list .(1 point) Consider the function f(x) = x- 72x + 11, -5