MIT OpenCourseWare http://ocw.mit.edu 16.346 Astrodynamics Fall 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.Exercises 14 1. In Lecture 13, Page 3 calculate the second derivative of Q(x) and show that Q is a solution of Gauss’ Differential Equation. Also, determine the numerical values for α, β and γ . 2. Carefully, follow the proof on Pages 62–63 that the continued fraction for Q(x) converges for −∞ <x<1. 3. Do Problem 1–6 in the textbook. 4. Use the Top-Down Method to find values for tan x. 15. Evaluate the Golden Section 2 (1 + √5) using the Top-Down Method. [See Equation (1.26) in the textbook.] 6. Show that log(1 + x) x is a hypergeometric function by showing that it is a solution of Gauss’ Differential
View Full Document
Unlocking...