Uncertainty

Question 1

Uncertainty of Multiplication by a Constant

Answer 1

N(A ± a) = NA ± Na

Question 2

Uncertainty of the Addition of Two Uncertain Quantities

Answer 2

(A ± a) + (B ± b) = (A + B) ± sqrt(a^2 + b^2)

Question 3

Uncertainty of the Subtraction of Two Uncertain Quantities

Answer 3

(A ± a) - (B ± b) = (A - B) ± sqrt(a^2 + b^2)

Question 4

Uncertainty of the Product of Two Uncertain Quantities

Answer 4

(A ± a) x (B ± b) = (AB) ± (AB)sqrt((a/A)^2 + (b/B)^2)

Question 5

Uncertainty of the Quotient of Two Uncertain Quantities

Answer 5

(A ± a) / (B ± b) = (A/B) ± (A/B) sqrt((a/A)^2 + (b/B)^2)

Question 6

Uncertainty of Raising to a Power

Answer 6

(A ± a)^m = A^m ± maA^(m-1)