APPM 1350 Midterm: appm1350spring2017exam3
Document Summary
Instructions: books, notes, and electronic devices are not permitted. Write (1) your full name, (2) 1350/exam 3, (3) lecture number/instructor name and (4) spring 2017 on the front of your blue- book. Make a grading table for 4 problems and a total. A correct answer with incorrect or no supporting work may receive no credit, while an incorrect answer with relevant work may receive partial credit. Justify your answers, show all work: (a)(12pts) suppose we are trying to nd the dimensions of a rectangle with area 1000 m2 whose perimeter is to be as small as possible using optimization. Suppose x and y represent the dimensions of the rectangle. Write down a function in terms of x and y that you would minimize (or maximize). Justify your answer by classifying your critical point(s) using either the 1st or 2nd derivative test. (b)(12pts) suppose we want to approximate the intersection points of f (x) = x2 and g(x) = cos(x).
