Question

In the equation below assume U and A are know.

Rearrange the equation so that you would solve for R in terms of the Greek letter sigma)
U = R − 1 2 A σ 2
A. R = U − 1 2 A σ 2
B. R = 1 2 A σ 2 U
C. R = U 1 2 A σ 2

Answer 1

`R = U + {1}{2}A\sigma^2`

Step-by-step explanation:

Given

`U = R - (1)/(2)A\sigma^2`

Required

Solve for R

We have:

`U = R - {1}{2}A\sigma^2`

Add
`{1}{2}A\sigma^2` to both sides

`U + {1}{2}A\sigma^2 = R - {1}{2}A\sigma^2 + {1}{2}A\sigma^2`

Evaluate like terms

`U + {1}{2}A\sigma^2 = R`

Hence:

`R = U + {1}{2}A\sigma^2`