Allied & ICAR Exam Bank • ALLIED_0791 MCQ • 1 Mark

Section 1: Engineering Mathematics

Differential Equations

Subtopic: Laplace transforms and their inverse

Question Statement:

The Laplace transform of $f(t) = t^2$ is:

Options:

  • (A) $\frac{2}{s^3}$
  • (B) $\frac{1}{s^2}$
  • (C) $\frac{2}{s^2}$
  • (D) $\frac{6}{s^4}$

Answer Key:

A

Step-by-Step Solution & Explanation

$\mathcal{L}\{t^n\} = \frac{n!}{s^{n+1}}$. For $n = 2$, $\mathcal{L}\{t^2\} = \frac{2!}{s^3} = \frac{2}{s^3}$.
← Previous (ALLIED_0790) Next (ALLIED_0792) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and AIR percentile ranking.

Launch CBT Mock Test