MA 26100 Midterm: Fall 2015, 2
Document Summary
General exam policies (1) students may not open the exam until instructed to do so. (2) students must obey the orders and requests by all proctors, Additionally, all violators will be reported to the o ce of the dean of students. I have read and understand the exam rules stated above: Problem 1: find the minimum value of the function f (x, y, z) = x2 + y2 + z2 on the plane x + 2y + 2z = 9. You may assume that this function has a global minimum: 10, 9, 25. 2xy2 x2+1 da where r = [0, 1] : 1. 3 ln 5: 4 ln 2, 1. 2 xeydxdy by reversing the order of integration: 1. Y2 da where d is the region inside the disk x2+y2 1, to the right of y = x, and above the x axis.
