Question

Apply theorem 2 to find the inverse Laplace transforms of the functions in problems 17 through 24.

a) Use a trigonometric identity
b) Employ partial fraction decomposition
c) Apply the power rule
d) Utilize the quotient rule

Answer 1

To find the inverse Laplace transforms, we can use trigonometric identities, partial fraction decomposition, the power rule, or the quotient rule.

Step-by-step explanation:

To find the inverse Laplace transforms of the functions in problems 17 through 24, we can use various methods:

1. Trigonometric identity: If the function involves trigonometric functions, we can use trigonometric identities to simplify the expression.
2. Partial fraction decomposition: If the function is a rational function, we can decompose it into partial fractions and find the inverse Laplace transform of each term.
3. Power rule: If the function involves a power of 's', we can use the power rule to find the inverse Laplace transform.
4. Quotient rule: If the function is a quotient of two polynomials, we can use the quotient rule to find the inverse Laplace transform.