1.
The inverse Laplace transform of s / ( s2 + w2 )
2.
The inverse Laplace transform of ( 2s – 18 ) / ( s2 + 9 )
3.
Determine the inverse Laplace transform of 1 / ( 4s2 – 8s ).
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7.
Given the equations: x + y + z = 2, 3x – y – 2z = 4, 5x – 2y + 3z = -7. Solve for y by determinants.
8.
Solve the equations by Cramer’s Rule: 2x – y + 3z = -3, 3x + 3y – z = 10, -x – y + z = -4.
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10.
Perform the operation: 4(cos 60° + i sin 60°) divided by 2(cos 30° + i sin 30°) in rectangular coordinates.