ESM 350, Structure and Electronic Properties of Solids

Due date for problems 1-7 and 8-14: Monday February 23, 2004

Homework assignment 1: Propagation of Errors

Use the following values and corresponding errors to calculate W, dW, and the percent error.

X = 10 ± 0.1 cm
Y = 5 ± 1 cm
Z = 2 ± 0.5 cm
q = 10 ± 1°
e = 45 ± 4°

  1. W=X+2Y-3Z
  2. W=2q-3e
  3. W=X*2Y*3Z
  4. W=2X/2Y
  5. W=(X/2Y+3Z+Y)/4X
  6. W=[(Y/3-X/2)/Z]*6
  7. W=Y*cos(q)
  8. W=q2sin(q)
  9. W=tan(q)/tan(e)
  10. W=X3/cos(e)
  11. W=ln(X)
  12. W=ln[X/3Y2]
  13. W=3X-2+5Y-3
  14. W=sqrt(X3*3Y/Z)2)


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JQ.