MATH 550
Professor Girardi
Quiz 4
Due the week of 27 February 2000

  1. Problem 1 from 99 Exam 2, which reads as follows.
    The 99 Exam 2 Problem 1 Link contains five vector fields ( vf1 - vf5 ), five vector field sketches (a - e), and five flow line sketches (f - j). Using the below box, match each of the vector fields with its corresponding vector field sketch and flow lines.

    vector field vf1 vf2 vf3 vf4 vf5
    vector field sketch          
    flow lines          

  2. Consider the vector field
    F(x , y , z) = < exp( x2 + y2 + z2 ) cos( ln (1 + x2 ) ) , (xyz)sin( ln (4+(xyz)2)) , cos(sin(xyz) + exp(xz)) ( x2 + y2 + z2 +5)1/2> .
    Find the divergence of the curl of F, i.e. find div(curl F). Justify your answer.
    (Hint: no calculations need!).
  3. Problem 26 from section 4.4 (pg 287).
    (Hint: Informal Summary 4.4).
  4. Problem 16 from Ch 4 review (pg 290).
    (Hints: Informal Summary 4.1 and Example 4 pg 267).

Please direct all inquiries about this page to girardi@math.sc.edu
Findable from URL: http://www.math.sc.edu/~girardi/