MAT 397 Midterm: MAT397-2010Spring
Document Summary
Write your answers and show all your work on this test. There are 11 problems on 12 pages (including this cover sheet), for a total of 100 points. To receive full or partial credit, the correct work leading to the correct answer must be written down. Unsupported answers will receive little or no credit. Symbolic calculators, such as ti-89 or ti-92, may not be used. Find the maximum and the minimum values of |v(t)| and |a(t)|. Hint: find rst the extreme values of |v(t)|2 and. |a(t)|2: (6 pts) a particle has position vector r(t) = hsin t, t, cos ti. = 1: (10 pts) evaluate the double integral. Z x sin y y dy dx . Hint: you may want to switch the order of integration: (10 pts) evaluate the double integral. 0 e (x2+y2) dy dx . by changing it into a double integral in polar coordinates: (10 pts) evaluate the triple integral z 5.
