MATH 200 Midterm: MATH 200 2014 Winter Test 1

• School: UBC
• Department: Mathematics
• Course: MATH 200
• Professor: All

Document Summary

Section (check one): (cid:3) 101 (mwf 9-10, peterson) (cid:3) 103 (mwf 11-12, nguyen) (cid:3) 105 (tuth 9:30-11, roe) (cid:3) 102 (mwf 11-12, fraser) (cid:3) 104 (mwf 1-2, liu) (cid:3) 107 (tuth 3:30-5, roe) Be sure that this examination has 13 pages. Write your name on top of each page. No books, notes, calculators, or any other aids are allowed. Page 2 of 13 pages: suppose that f (x, y, z) is a function of three variables and let u = 1. Suppose that at a point (a, b, c), Page 3 of 13 pages: let f (u, v) be a di erentiable function of two variables, and let z be a di erentiable function of x and y de ned implicitly by f (xz, yz) = 0. Page 5 of 13 pages: let s be the surface z = x2 + 2y2 + 2y 1.