MATH 2D Study Guide - Midterm Guide: Ellipse, Hyperbola, Parametric Equation

• School: UC-Irvine
• Department: Mathematics
• Course: MATH 2D
• Professor: All

Document Summary

Midterm exam practice: determine whether each of the following statements is true or false. No work needs to be shown. (a) the initial point of any representation vector is the origin. False (b) the set {(x, y, z)| x2 + y2 = 1, y = 1} represents a circle in r3. False (c) the trace of a cone in r3 can be a parabola. False: let (cid:126)a = (cid:104)1, 2, 3(cid:105), (cid:126)b = (cid:104)1, 0, 1(cid:105). Midterm exam practice: (a) true. (b) false. Solve two eqns and we have {x = 0, y = 1}. So the set represents two lines. one line. (c) false. The trace of a cone can be a circle (or an ellipse), a point (z = 0), a hyperbola or two lines. 7 , 2: refer to chap 12 for precise formulas. (a) (cid:104) 1.