Multiple choice

Laplace transform for the function f(x) = cosh(ax) is

  1. $\frac{a}{s^2 - a^2}$
  2. $\frac{s}{s^2 - a^2}$
  3. $\frac{a}{s^2 + a^2}$
  4. $\frac{s}{s^2 + a^2}$
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B Correct answer
Explanation

The Laplace transform of cosh(at) is derived from its exponential definition, yielding s / (s^2 - a^2). The transform with a plus sign in the denominator corresponds to cos(at).

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