APPM 2350 Midterm: appm2350spring2018exam1_sol
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Instructions: electronic devices are not permitted during the exam. On the front of your bluebook, write your name, your instructor"s name, your lecture number, and a grading table for ve problems. Start each problem on a new right-hand page. Justify your work clearly and box your nal answer. 3 (1 + t)3/2 k for t 0. (a) determine the velocity vector. Solution: v(t) = 4t cos(t2) i 4t sin(t2) j + 8(1 + t)1/2 k (b) determine the speed along the curve. Solution: since r( ) = 0 i 2 j+ we can test to see if r( ) v( ) = 0. In fact r( ) v( ) = velocity and position vectors are not perpendicular when t = . (1+ )3/2 k and v( ) = 4 i+0 j+8(1+ )1/2 k (1 + )2 6= 0, so no, the. 3: (25 points) consider two glass plates (planes).
