Assignment #3 - 84A
Assignment #3 - 84A
ASSIGNMENT #3 - DUE FEBRUARY 10
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WEIGHT = 15
THE LEGENDRE POLYNOMIALS ARISE IN MANY PHYSICAL CONTEXTS, IN
ELECTROSTATICS, ACOUSTICS, AND QUANTUM MECHANICS.
WRITE A PROGRAM THAT WILL PRODUCE A TABLE OF NUMERICAL VALUES OF
LENGENDRE POLYNOMIALS. THE GENERAL FORMULA IS
P(N) = (2N-1)(P(1))(P(N-1)) - (N-1)(P(N-2))
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N
WHERE P(0)=1
P(1)=COS(THETA)
THE TABLE SHOULD SHOW ALL VALUES FOE THETA = 0 DEGREES TO 10 DEGREES
IN ONE-DEGREE STEPS, AND IN EACH OF THESE CASES FOR N=1,2,3,4,5,6.
PROVIDE SUITABLE HEADINGS AND ROUND TO 5 DECIMAL PLACES.