Free Printable Quizziz Test Laplace and ILT

1.

a)

b)

c)

d)

2.

L\left[e^{-2t}\sin3t\right]

a)

$L\left[\sin3t\right],\ s\rightarrow s+2$

b)

$L\left[\sin3t\right],\ s\rightarrow s-2$

3.

Find $L\left(e^{3t}\left(t^3-3t^2+5t\right)\right)$

a)

$\frac{2}{\left(s-3\right)^4}-\left(\frac{3}{\left(\left(s-3\right)^3\right)}\right)+\frac{5}{\left(s-3\right)^2}$

b)

$\frac{6}{\left(s-3\right)^4}-\left(\frac{6}{\left(s-3\right)^3}\right)+\frac{5}{\left(s-3\right)^2}$

c)

$\frac{2}{\left(s-3\right)^3}-\left(\frac{3}{\left(s-3\right)^{\left(2\right)}}\right)+\frac{5}{s-3}$

4.

f(t)=sinh 4t, F(s)=?

a)

$\frac{a}{s^2-a^2}$

b)

$\frac{a}{s^2+a^2}$

c)

$\frac{4}{s^2-16}$

d)

$\frac{4}{s^2+16}$

5.

Inverse Laplace transform, transform

a)

$f\left(t\right)\ to\ F\left(s\right)$

b)

$F\left(s\right)\ to\ f\left(t\right)$

c)

$f'\left(t\ \right)\ to\ f\left(t\right)$

d)

$f\left(t\right)\ to\ f'\left(t\right)$

6.

$L^{-1}\left(\frac{6}{\left(s\right)}-\frac{4s}{s^2+25}\right)$

a)

$1-4\cos5t$

b)

$6-4\cos5t$

c)

$6-\cos5t$

d)

$6t-4\cos5t$

7.

The $L^{-1}\left(\frac{4}{\left(s^2+9\right)}\right)$ is $a\ \sin\ 3t$ . What is a?

a)

$\frac{2}{3}$

b)

$\frac{4}{3}$

c)

$3$

d)

$\frac{1}{3}$

8.

$L^{-1}\left(\frac{24}{s^5}\right)$ is $t^4$ . What is $L^{-1}\left(\frac{1}{s^{\left(5\right)}}\right)$ ?

a)

$\frac{24}{s^5}$

b)

$\frac{1}{24}t^4$

c)

$\frac{1}{24}t^5$

9.

$L^{-1}\left(\frac{s+2}{s^2-2s-5}\right)$

a)

$f(t)=e^t\left(\cosh\sqrt{6}\ t+\frac{3}{\sqrt{6}}\sinh\sqrt{6\ }t\right)$

b)

$f(t)=e^{-t}\left(\cosh\sqrt{6}\ t+\frac{3}{\sqrt{6}}\sinh\sqrt{6\ }t\right)$

c)

$f(t)=e^t\left(\cosh2\ t+\frac{3}{2}\sinh2t\right)$

10.

Find the partial fraction for $\frac{\left(2s-8\right)}{\left(s-2\right)\left(s-3\right)}$

a)

$\frac{2}{s-2}-\frac{4}{s-3}$

b)

$\frac{3}{s-2}-\frac{2}{s-3}$

c)

$\frac{4}{s-2}-\frac{2}{s-3}$

Quizziz Test Laplace and ILT

Total questions: 10

Worksheet time: 5mins

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