MATLAB_ASSIGNMENT_and_TEST_QUESTIONS_-July_2009_Sem

MATLAB_ASSIGNMENT_and_TEST_QUESTIONS_-July_2009_Sem -...

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EAB2113/EBB2143 NUMETRICAL/COMPUTATIONAL METHODS JULY 2009 SEMESTER MATLAB ASSIGNMENT/TEST QUESTIONS Q1 . Develop an M-file to implement the bisection method. Using this program solve the following problem. The velocity of falling parachutist is given as ) 1 ( ) ( ) / ( t m c e c gm t v - - = . Where ) ( t v = velocity of parachutist = s m / 40 , g = gravitational constant = 2 / 8 . 9 s m , m = the mass of the parachutist = kg 1 . 68 . Find the drag coefficient, c at the time 10 = t seconds using the initial bracket of the root as [13, 16] and iterate until 001 . 0 a ε %. Q2 . Develop an M-file to implement the falseposition method. Using this program solve the following problem. The velocity of falling parachutist is given as ) 1 ( ) ( ) / ( t m c e c gm t v - - = . Where ) ( t v = velocity of parachutist = s m / 40 , g = gravitational constant = 2 / 8 . 9 s m , m = the mass of the parachutist = kg 1 . 68 . Find the drag coefficient, c at the time 10 = t seconds using the initial bracket of the root as [13, 16] and iterate until 001 . 0 a ε %. Q3 . Locate the root of x x x f - = ) sin( 2 ) ( (a) Using the MATLAB function fzero with an initial guess of 2 0 = x . (b) Using Newton-Raphson method by writing a function M-file. Use an initial guess of 5 . 0 0 = x and iterate until 001 . 0 a ε %.
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