MATH-UA 212 Midterm: MATH-UA 212 Exam 1 Spring 2014
Document Summary
A correct answer without supporting work will receive little or no credit: the exam is 75 minutes. The constraint g = c is the straight line. 25 ) (e) none of the above: let f (x, y) = x2 + 2ey. If the statement is ever false, circle false as your answer. No work is required, and no partial credit will be given. In each case, assume f is a smooth function (its derivatives of all orders exist and are contin- uous). True false (b) the function f (x, y) = x y2 has a minimum subject to the constraint x y = 1. True false (c) if a is a 4 3 matrix and b is a 2 3 matrix, then the product ab is unde ned. True false (d) if u is a unit vector which is tangent to the level curve of f at (a, b), then duf (a, b) = 0.
