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Ce50P – Advanced Engineering Mechanics Removal Exam Instruction: Read the questions carefully. Write all solutions asked by the question. Box your final answer(s). I. Find the inverse Laplace Transform of the given function 1. 2 s11 s 2 25 2. 8 s 2 4 s+12 s ( s 2 + 4) II. Given f ( x )= x 2 10 + 2 sinx+ 1 , Find the approximated value of x using a. Bisection method (14 iterations) b. False Positioning (Regula-Falsi) method (6 iterations) Set the range for a given solution form -2 < x < 2. Round- off to 3 decimal places. III. Find the solution to the linear system using a. Gaussian Elimination b. Gauss-Jordan Elimination x +2 y+ 3 z=52 x +4 yz=−43 x +5 y3 z=−9 IV. Find the equation of the form: y=ae bx Given: x 1.2 1.4 1.6 1.8 2.2 2.6 2.8 3.0 3.2 4 y 0.5 1 1.2 1.5 2.1 4.2 5.7 7.5 8.0 9.1 Round-off answers to 4 decimal places.

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Ce50P Advanced Engineering Mechanics Removal Exam

Instruction: Read the questions carefully. Write all solutions asked by the question. Box your final answer(s).

I. Find the inverse Laplace Transform of the given function

1. 2.

II. Given , Find the approximated value of x using a. Bisection method (14 iterations) b. False Positioning (Regula-Falsi) method (6 iterations)Set the range for a given solution form -2 < x < 2. Round-off to 3 decimal places.

III. Find the solution to the linear system usinga. Gaussian Eliminationb. Gauss-Jordan Elimination

IV. Find the equation of the form: Given: x1.21.41.61.82.22.62.83.03.24

y0.511.21.52.14.25.77.58.09.1

Round-off answers to 4 decimal places.

V. y(0) = 1, Solve for y(0.15)

Round-off answers to 4 decimal places.