M-273Q Midterm: MATH 273 Montana State Exam3ReviewProblemsC
Document Summary
Exam 3 covers material from sections 15. 1-15. 4 and 16. 1-16. 3 and 17. 1. For each of the following, state whether the operations shown produce a vector eld, a scalar function, or whether they cannot be computed, in which case the statement is nonsense. F (cid:13) vector (cid:13) scalar (cid:13) nonsense. ( f) (cid:13) vector (cid:13) scalar (cid:13) nonsense. ( f) (cid:13) vector (cid:13) scalar (cid:13) nonsense (cid:13) vector (cid:13) scalar (cid:13) nonsense ( f ) f ( f) f (cid:13) vector (cid:13) scalar (cid:13) nonsense: calculate zz. D x da where d is the triangular region with vertices (0, 0), (1, 1), and (1, 1). 0 x/2 sin y2 dy dx. xyexy dy dx. 1 z 1/x: evaluate z e, evaluate z 2 . Z: let w = (cid:8)(x, y, z)|x2 + y2 + z2 4, 0 x 3, y 0 , z 0(cid:9). 0 z x2 + y2 dx dy by changing to polar coordinates.
