<p> Mat 117 Problem set 7 (Maximum and minimum values)</p><p>Write your name and date </p><p>1. A parcel delivery service has contracted you to design an open box with square base length x cm and height y cm has a volume of 3600 cubic cm. Find the total surface area in terms of x and y. Also determine the dimension for minimum surface area (round answers correct to two decimal places if needed).</p><p>2. Use the rational zero theorem to find all rational zeroes, and use those zeroes to write f( x )= 2 x4 - x 3 - 9 x 2 + 4 x + 4 in factor form. 3. Determine a polynomial function of degree 3 with real coefficients whose zeroes are -2, 1 + i .</p><p>4. Given y=( x - 3)2 ( x + 4)( x + 2) . Find the following:</p><p> a) The power function</p><p> b) Maximum turning points</p><p> c) All zeroes</p><p> d) x -intercept(s) </p><p> e) y -intercept</p><p> f) Behavior near each x intercepts</p><p> g) Plot the function</p>