MAT 397 Midterm: MAT_397_F_14
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Student"s name: _____ __ __ __ ___ __ ___ __ _ Minimal credit will be given for answers without supporting work: no calculators will be allowed on this exam. Dp n o t wrltr, below t hl line. 2: (12 pts) let the base of a tetrahedron be a triangle determined by the origin and the position vectors u = i + j and v = i + j + k . 3: (12 pts) an object moving in 3 dimensions has initial position and velocity given by r(o) = i + j - k, v(o) = i - 2j. Find the position r(t) at any time t if the acceleration is a(t) = 0 for all t: (10 pts} evaluate the limit or show that the limit does not exist. 4 y"i lim (x,y)-+(o,o) x 4 + y4. Find the direction of maximal rate of change of t at (2, 1) and compute the.
