Question (4 points) Consider the function V = g(x), where g(x) = x(6 – 2x)(8 – 2x), with x being the length of a cutout in cm and V being the volume of an open box in cm3, where x must be between 0 and 3 cm. Determine the maximum volume of the open box in cm3. Round your answer to two decimal places. Also, indicate or show what process you used to obtain this answer. (Hint: graphing)
Question
(4 points) Consider the function V = g(x), where g(x) = x(6 – 2x)(8 – 2x), with x being the length of a cutout in
cm and V being the volume of an open box in cm3, where x must be between 0 and 3 cm. Determine the maximum volume of the open box in cm3. Round your answer to two decimal places. Also, indicate or show what process you used to obtain this answer. (Hint: graphing)