A 30-ft cable is stretched from the top of an antenna to an anchor point 12-ft from the base of the antenna. How tall is the antenna? Round to the nearest tenth of a foot.

Find the absolute maximum and absolute minimum values of the function f(x)= x^3+12x^2−27x+12 over each of the indicated intervals. (a) interval = [−10,0] absolute max and min (b) interval = [−7,2] absolute max and min (c) interval = [−10,2] absolute max and min