MATH 213 Midterm: MATH 213 NJIT m213Exam1 F06

• School: New Jersey Institute of Technology
• Department: Mathematical Sciences
• Course: MATH 213
• Professor: All

Document Summary

Please show all your work for each problem! Use only those methods discussed thus far in class. No calculators: (18 points) for the curve de ned by. 2x + y2 + 4z2 + 2y 16z + 14 = 0 to the standard form. Then classify this surface and sketch it. x2: (16 points) compute (in (a), a and b are constant vectors): (a) d dt. T j + cos t k(cid:17) dt. (b) z : (16 points) given the two planes. 3 : (18 points) (a) find a vector and a parametric equation of the line passing through points.