Free Printable Refleksi Laplace transform and inverse laplace

1.

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b)

c)

d)

2.

a)

b)

c)

d)

3.

a)

b)

c)

d)

4.

a)

b)

c)

d)

5.

a)

b)

c)

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6.

a)

b)

c)

d)

7.

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

a)

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

b)

$\frac{3}{s^3}-\left(\frac{1}{s^{\left(2\right)}}\right)+\frac{1}{s}$

c)

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

8.

Find $L\left(e^{2t}\sin\ 2t\right)$

a)

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

b)

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

c)

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

9.

Find: $L\left\{t^2\right\}$

a)

$\frac{1}{s^2}$

b)

$\frac{1}{s^3}$

c)

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

d)

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

10.

Find: $L\left\{e^{-5t}\right\}$

a)

$\frac{1}{s-5}$

b)

$\frac{5}{s+1}$

c)

$\frac{5}{s-1}$

d)

$\frac{1}{s+5}$

11.

Find: $L\left\{2t\right\}$

a)

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

b)

$\frac{1}{s^2}$

c)

$\frac{1}{2s^2}$

d)

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

12.

$L\left\{5\right\}$

Find:

a)

$\frac{1}{5s}$

b)

$5s$

c)

$\frac{5}{s}$

d)

$\frac{s}{5}$

13.

Find: $L\left\{e^{2t}\right\}$

a)

$\frac{\text{2}}{\text{s+2}}$

b)

$\frac{1}{s-2}$

c)

$\frac{1}{s+2}$

d)

$\frac{1}{s-1}$

14.

Find: $L\left\{3t^3\right\}$

a)

$\frac{3}{s^3}$

b)

$\frac{18}{s^4}$

c)

$\frac{3}{s^4}$

d)

$\frac{6}{s^4}$

15.

a)

b)

c)

d)

16.

a)

b)

c)

d)

17.

$L^{-1}\left(\frac{24}{s^5}\right)$ 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)

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

18.

$L^{-1}\left(\frac{4}{s^{\left(3\right)}}\right)$

a)

$4t^3$

b)

$2t^2$

c)

$2t^3$

19.

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

a)

$4e^{-2t}-2e^{-3t}$

b)

$2e^{-2t}-4e^{-3t}$

c)

$e^{-2t}-e^{-3t}$

20.

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)

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

21.

Using Laplace Transform Table, find Laplace Transform for

f_t=\frac{3}{8}

a)

$F_s=\frac{3s}{8}$

b)

$F_s=-\frac{3s}{8}$

c)

$F_s=\frac{3}{8s}$

d)

$F_s=-\frac{3}{8s}$

22.

Using Laplace Transform Table, find Laplace Transform for

f_t=-7\cos2t

a)

$F_s=\frac{7s}{s^2+4}$

b)

$F_s=-\frac{7s}{s^2+4}$

c)

$F_s=\frac{7s}{s^2-4}$

d)

$F_s=-\frac{7s}{s^2+4}$

23.

Find $L^{-1}\left\{\frac{2}{s^2+1}\right\}$

a)

2sin t

b)

$\sin\ t$

c)

cos t

d)

$2\cos\ t$

24.

Find the Laplace transform $f\left(t\right)=e^t\ \sin2t$

a)

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

b)

$\frac{2}{\left(s+1\right)^2+4}$

c)

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

d)

$\frac{s}{\left(s+1\right)^2+4}$

Refleksi Laplace transform and inverse laplace

Total questions: 24

Worksheet time: 45mins

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