Generating...                               quiz05_n22

  1. Find the inverse transform for $\displaystyle F\left(s\right)={{1}\over{s^2\,\left(s+1\right)}}$

    $\displaystyle e^ {- t }+t-1$ $\displaystyle 1-\cos t$ $\displaystyle \sin t$ $\displaystyle 1-e^ {- t }$

  2. Find the inverse transform for $\displaystyle F\left(s\right)={{s}\over{16\,s^2+1}}$

    $\displaystyle \cos \left(4\,t\right)$ $\displaystyle {{\cos \left({{t}\over{4}}\right)}\over{16}}$ $\displaystyle {{\sin \left({{t}\over{4}}\right)}\over{4}}$ $\displaystyle {{\sin \left(4\,t\right)}\over{4}}$

  3. Find the Laplace transform for $\displaystyle f\left(t\right)=\cos \left(2\,t\right)+\cosh t$

    $\displaystyle {{s}\over{s^2+1}}+{{s}\over{s^2-4}}$ $\displaystyle {{1}\over{s^2+1}}+{{2}\over{s^2-4}}$ $\displaystyle {{s}\over{s^2+4}}+{{s}\over{s^2-1}}$ $\displaystyle {{2}\over{s^2+4}}+{{1}\over{s^2-1}}$

  4. Find the Laplace transform for f(t) = (t − 2)t

    $\displaystyle -{{s-3}\over{s^2-3\,s+2}}$ $\displaystyle -{{s-2}\over{s^3}}$ $\displaystyle {{s+2}\over{s^3}}$ $\displaystyle -{{2\,s-2}\over{s^3}}$ $\displaystyle {{2\,s-3}\over{s^2-3\,s+2}}$

  5. Find the inverse transform for $\displaystyle F\left(s\right)={{1}\over{4\,s+1}}$

    $\displaystyle e^ {- 4\,t }$ $\displaystyle {{e^ {- {{t}\over{4}} }}\over{4}}$ $\displaystyle e^ {- {{t}\over{4}} }$ $\displaystyle 4\,e^ {- 4\,t }$


Department of Mathematics
Last modified: 2026-10-29