Question

If f(t) = sin(at), then its Laplace
transform is given by?
a] cos(at)
b] indeterminate
c]
$s ^{2}at$
d] none of the above
​

Answer 1

Answer:

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Answer 2

Answer:

option d) none of the above.

Step-by-step explanation:

• A function is stated to be a piecewise non-stop function if it has a finite quantity of breaks and it does now no longer blow as much as infinity anywhere.
• Let us expect that the characteristic f(t) is a piecewise non-stop function, then f(t) is described the usage of the Laplace remodel.
• The Laplace remodel of a function is represented through L or F(s).
• Laplace remodel enables to clear up the differential equations, in which it reduces the differential equation into an algebraic problem.

Where the notation is clear, we will use an capital letter to indicate the Laplace transform, e.g, L(f; s) = F(s).

1. The Laplace transform we defined is sometimes called the one-sided Laplace transform.
2. There is a two-sided version where the integral goes from −∞ to ∞.

Now ,

As we know that the Laplace transform of

$sin at = a/(s^2 + a^2).$

hence ,

option d) is correct.

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