MATH 317 Midterm: MATH 317 2015 Winter Test 2
Document Summary
This nal exam has 6 questions on 12 pages, for a total of 60 points. Duration: 3 hours: write your name or your student number on every page, you need to show enough work to justify your answers, continue on the back of the previous page if you run out of space. You also have extra space at the end of the booklet: this is a closed-book examination. None of the following are allowed: documents or electronic devices of any kind (including calculators, cell phones, etc. ) We recall that for a vector eld f in r3, we have: curl(f) = f div(f) = f . The unit tangent vector t(t), principal unit normal vector n(t), binormal vector b(t), and curvature (t), of a curve in r3 parameterized by r(t) are given by. The volume of a sphere with radius a is.
