1. Round the following to the correct number of significant figures:
   (a) 71.85234 ± 0.02672     (b) 13.6 ± 0.210     (c) 0.0044667 ± 0.000081
2. Apply error propagation rules to the following:
   1. Let A = 79.5 ± 0.6, B = 27.8 ± 0.4, and C = 54.6 ± 0.3. Evaluate F = A - B + C.
   2. Let A = -12.1 ± 0.2 and B = 3.45 ± 0.06. Evaluate F = A/B.
   3. Let A = 15.4 ± 0.2, B = 7.85 ± 0.03, and C = 6.24 ± 0.08. Evaluate F = A /(BC).
      
   4. Let R = 0.151 ± 0.005. Evaluate V = (4/3)R³.
      
   5. Let X = 14.75 ± 0.09. Evaluate Y = 3X^½.
   6. Let θ = 27.5 ± 0.5°. Evaluate Y = sin(θ).
   7. Let λ = 3.51 ± 0.06. Evaluate N = e^-λ.
   8. Let x = 0.75 ± 0.03. Evaluate φ = arctan(x).

3. Find the absolute error in the following:
   

   (a)		R = 3.22 ± 0.04
   (b)		x = 2.25 ± 0.04, y = 3.72 ± 0.04
   (c)	R = Acos(θ)	A = 4.27 ± 0.07 θ = 35.0 ± 0.9°
   (d)	d = v0 + at	v0 = 12.4 ± 0.2, a = −3.51 ± 0.11, t = 2.52 ± 0.08
   (e)	X = R tan2(θ)	R = 6.85 ± 0.12 θ = 33.0 ± 0.8°
   (f)		R = 6.85 ± 0.12, g = 9.81 ± 0.01, θ = 43.0 ± 0.8°
   (g)	d = v0t + ½at2	v0 = 12.4 ± 0.2, a = −3.51 ± 0.11, t = 2.52 ± 0.08

Questions? mikec@kwantlen.bc.ca