MATH 023 Final: math23_2008f_final
Document Summary
Instructions: answer all questions, without the use of books or calculators. You may have a half sheet of 8. 5x11 paper with both sides lled out. Partial credit will be awarded for correct work. You may use the back of the pages of the exam should it be necessary, but please indicate in writ- ing that you have done so. Please write at the top of the exam. Drop or replace , depending on how you wish your second midterm grade to be computed. The problems with a * are those that will count toward your second midterm score should you choose the replace option. Are any of them identical? (a) 4x-2y+6z=12 (b) -6x+3y-9z=-18 (c) 4x-2y-2z=6 (d) z=2x-y-3: (10 points) find the parametric equations for the tangent line of the curve r(t) = (cid:10)t, t2, t3(cid:11) at the point (1, 1, 1).
