Assume a circle is expanding with time where r = t+2. What is the rate of change of the area of the circle at time t = 2? O dA = 4n dt O dA =6 n dt O dA = 8 n dt O dA = 2 n dtAssume that an airplane is flying toward you at a constant height h, h = 1 mile and at a speed Ox = 20 miles/hr. When the plane is 2 miles away, what is the rate of change of 0? dt h tan(0) = h X X O de dt = 4 degrees/second O de dt = -4 degrees/second O de dt = -6 degrees/second O de dt = 6 degrees/secondWhat function should be used to maximize the volume of a closed box whose surface area is equal to 16 where the box has a square bottom? h X XWhat function should be used to minimize the distance between y = p x + 3 and the point (2, 0)?Given the right triangle below, if x + y = 10, what formula will maximize the area of the triangle? Z Y X O A = =x(10 -x) O A = =x(10+x) O A = =x(5-X) O A = =x(5+X)Given the area of a rectangle is A = bh, and assuming the rectangle is open on one side, perimeter b + 2h = 40, what formula will maximize the area of the rectangle? O A = 20h - 2h2 O A = 40h - 2h2 O A = 40h - h2 O A = 20h - h2What value of x maximizes the volume of an open box with a square bottom, where the surface area of the box is equal to 20? h X\f