MATH 200 Midterm: MATH 200 2013 Winter Test 1

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

Document Summary

Instructions: explain your reasoning thoroughly, and justify all answers (even if the question does not speci cally say so), no calculators or other aids are permitted, duration: 2. 5 hours. Page 1 of 12: short answer problems. Put your answer in the box provided but show your work also. Full marks will be given for correct answers placed in the box; partial credit might be given for incorrect answers. Simplify your answers as much as possible in this question. The line l has vector parametric equation r(t) = (2 + 3t)i + 4tj k: write the symmetric equations for l. Answer: let be the angle between the line l and the plane given by the equation x y + 2z = 0. 9 marks (b: find the equation of the tangent plane to the surface x2z3 + y sin( x) = y2 at the point p = (1, 1, 1).