Answer the following questions. Show the necessary work pertaining to how the final answer arrived, and make sure the work is organized and neat. Please make sure the arithmetic and the final answers are correct. Thank you.

Question 1 (Essay Worth 10 points) (04.02) 9 Find the xcoordinates of any relative extrema and inflection point(s) for the function x): 9x113 +244\" . You mustjustify your answer using an analysis off '(x) and f "(x). Question 2 (Essay Wunh 10 points) If:1 (04.03) What is the maximum volume in cubic inches of an open box to be made from a 12-inch by 16-inch piece of cardboard by cutting out squares of equal sides from the four corners and bending up the sides? Your work must include a statement of the function and its derivative. Give one decimal place in your final answer. Question 3 (Essay Worth 10 points) (04.04) The position function of a particle in rectilinear motion is given by s(t) = ts - 12t2 + 45t + 4 for t 2 0 with t measured in seconds and s(t) measured in feet. Find the position and acceleration of the particle at the instant when the particle reverses direction. Include units in your answer.Question 4 (Essay Worth 10 points) (04.05) A circle is growing so that the radius is increasing at the rate of 2cm/min. How fast is the area of the circle changing at the instant the radius is 10cm? Include units in your answer.Question 5 (Essay Worth 10 points) (04.07) The side of a square is measured to be 10 ft with a possible error of 10.1 ft. Use linear approximation or differentials to estimate the error in the calculated area. Include units in your