**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°

- W=X+2Y-3Z
- W=2q-3e
- W=X*2Y*3Z
- W=2X/2Y
- W=(X/2Y+3Z+Y)/4X
- W=[(Y/3-X/2)/Z]*6
- W=Y*cos(q)
- W=q
^{2}sin(q) - W=tan(q)/tan(e)
- W=X
^{3}/cos(e) - W=ln(X)
- W=ln[X/3Y
^{2}] - W=3X
^{-2}+5Y^{-3} - W=sqrt(X
^{3}*3Y/Z)^{2})

JQ.