FINALS EXAMINATION FIRST TRIMESTER

SY 2015-2016ECE 311-Advance Math

Solve the following completely.

1. Find all the possible roots. (30 points)5√¿¿ 2. Matrices

A=|4 8 22 −1 04 4 1| B= | 3 6 0

11 30 206 19 −3|

a. Find the determinants of A and B (10 points)b. Find determinants of AB (15 points)c. Find (A+B)-1 (20 points)

3. Find the Laplace of the following: (5 pts. each)

a. f ( t ) {53

sin 3 t }b. f(t){cos √2 t }c. f ( t ) {e−2 t cos2 t }d. f(t) {(a-bt)2}e. f(t) {cos2wt}

GOODLUCK FUTURE ENGINEERS!!!

Prepared by: Checked by: Approved by:

Engr. Wendell Gonzales Engr. Jovette Pecayo Remeline P. AlnaruInstructor 1 Dept. Head School Director

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