MATH 126 Final: MATH 126 UW Final Exam Spring 2011
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 1 of 9: (10 points) find parametric equations of the line of intersection of the planes. Page 2 of 9: (10 points) let a be a positive real number. (a) find the curvature of the vector function at t = . simplify as much as possible. ~r(t) = h2 cos t, a sin t, ti (b) find the positive value of a for which ~r(t) has curvature. Page 4 of 9: (10 points) suppose x, y, and z are positive numbers. What is the minimum possible value of if xyz = 100? (include in your solution some veri cation that your answer is the minimum. )
