MATH 126 Final: MATH 126 UW Final Exam Spring 2012
Document Summary
Ta"s name: this exam contains 9 problems. Check that you have a complete exam: this exam is closed book. 2 11 sheet of notes and a non-graphing, scienti c calculator. Do not share notes or calculators: give your answers in exact form. Page 2 of 9: (12 points) consider the surface z = x2 3y2. (a) describe the traces parallel to the given plane. That is, state whether the traces are parabolas, circles, ellipses, hyperbolas, etc. That is, state whether this equation gives a cone, an ellipsoid, a parabolic cylinder, etc. Just give your answer. (c) find all (x, y, z) intersection points of the line through (0, 0, 10) and (2, 1, 7) with the surface z = x2 3y2. Find the angle between the curves at the intersection point, to the nearest degree. Page 6 of 9: (10 points) d is a region in the xy-plane and for a continuous function f (x, y),
