Derive Eqs. 3.44-3.49 from Eqs. 3.41-3.43. The following two hints should help you get

Chapter 3, Problem 3.62

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Derive Eqs. 3.44-3.49 from Eqs. 3.41-3.43. The following two hints should help you get started in the right direction: 1) To find Ri as a function of Ra, Rf}, and Rc, first subtract Eq. 3.42 from Eq. 3.43 and then add this result to Eq. 3.41. Use similar manipulations to find R2 and R3 as functions of R(l, Rb, and Rc. 2) To find Rb as a function of R^, R2, and R3, take advantage of the derivations obtained by hint (1), namely, Eqs. 3.44-3.46. Note that these equations can be divided to obtain R, R, Rh, and R2 = K R$ Rb Ri R[} R2 ~7T = ~TT, or R,. = /?,Now use these ratios in Eq. 3.43 to eliminate Ra and Rc. Use similar manipulations to find Ra and Rc as functions of Ri, R2, and i?3,