Derive Eqs. 3.443.49 from Eqs. 3.413.43. The following two hints should help you get

Chapter 21, Problem 65

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Derive Eqs. 3.443.49 from Eqs. 3.413.43. The following two hints should help you get started in the right direction: 1) To find as a function of , , and , first subtract Eq. 3.42 from Eq. 3.43 and then add this result to Eq. 3.41. Use similar manipulations to find and as functions of , , and 2) To find as a function of , , and , take advantage of the derivations obtained by hint (1), namely, Eqs. 3.443.46. Note that these equations can be divided to obtain and Now use these ratios in Eq. 3.43 to eliminate and Use similar manipulations to find and as functions of , , and R3 R . R

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