MATH 253 Study Guide - Midterm Guide: Kartikeya, Ion, Candi Of Indonesia
Document Summary
This test has 10 questions on 12 pages, for a total of 80 points. Dr. g. slade, dr. c. macdonald, dr. b. krause, dr. m. murugan: read all the questions carefully before starting to work. Give complete arguments and explanations for all your calculations. No aids of any kind are allowed, including: docu- ments, cheat sheets, electronic devices of any kind (including calculators, phones, etc. ) Student conduct during examinations: each examination candidate must be prepared to produce, upon the request of the invigilator or examiner, his or her ubccard for identi- Student-no: consider the unit sphere consisting of points (x, y, z) with x2 + y2 + z2 = 1, Determine a normal vector to the tangent plane at a point (x, y, z) on the sphere. Determine the equation of the tangent plane at the point ( 1. 2 , equation of the tangent plane at the point ( 1.
