# Sp01exF - Problem 3(25 pts The distance a falling...

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Sp 01 EGN 3420 FINAL Name ___________________ Show All Work! Use Only Methods Discussed In Class! Problem 1 (25 pts) Find the inverse of the coefficient matrix in A x = b below and use it to solve the system of equations. x + y - z = 1 x + 3y - 2z = 2 2y + z = 3

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Sp 01 EGN 3420 FINAL Name ___________________ Show All Work! Use Only Methods Discussed In Class! Problem 2 (25 pts) After a collision, the cost of restoring a vehicle to its pre-crash condition is tabulated below for several different speeds. Speed ( S ) mph Damages ( D ) \$ 0 0 10 4500 20 19750 30 43500 45 50000 a) Find the equation of the 2 nd order Newton Divided Difference Interpolating polynomial 2 ( ) f S suitable for estimating the damages at a speed of 25 mph. b) Estimate the damages from a crash at 25 mph.
Sp 01 EGN 3420 FINAL Name ___________________ Show All Work! Use Only Methods Discussed In Class!

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Unformatted text preview: Problem 3 (25 pts) The distance a falling parachutist falls in t sec is given by the function ( / ) ( ) [1 ] t c m t gm d t e dt c-=-âˆ« where g = the gravitational constant 9.8 m/sec 2 m = mass of the parachutist (kg) c = the drag coefficient (kg/sec) a) Use the Gauss Quadrature two point formula to approximate the distance a parachutist of mass 68.1 kg falls in 10 sec if the drag coefficient is 12.5 kg/sec. b) Find the true error in the answer to Part a). Sp 01 EGN 3420 FINAL Name ___________________ Show All Work! Use Only Methods Discussed In Class! Problem 4 (25 pts) Fit quadratic splines to the data in the table below and use the results to estimate the value of f (5). x y = f ( x ) 3 2.5 4.5 1.0 7 2.5...
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## This note was uploaded on 06/09/2011 for the course EGM 4320 taught by Professor Klee during the Spring '11 term at University of Central Florida.

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Sp01exF - Problem 3(25 pts The distance a falling...

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