2 years ago

In 16-19, use the equations to compete the tables. (Picture provided)

Mathematics

1 answer:

aalyn [17]2 years ago

8 0

Answer:

16. 20, 25

17. 3, 4

18. 5, 7

19. 6.5, 5, 3.5, 2, 0.5

Step-by-step explanation:

The way you would solve this is by replacing the variable with an x-value, the answer would be the y-value.

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Read 2 more answers

Calculate the Laplace transforms of the following from the definition. 1. y = t^2. y = t^3

Likurg_2 [28]

Answer:

1) $L(y)=\frac{2}{s^{3}}$

2) $L(y)=\frac{6}{s^{4}}$

Step-by-step explanation:

To find : Calculate the Laplace transforms of the following from the definition ?

Solution :

We know that,

Laplace transforms of $t^n$ is given by,

$L(t^n)=\frac{n!}{s^{n+1}}$

1) $y=t^2$

Laplace of y,

$L(y)=L(t^2)$ here n=2

$L(y)=\frac{2!}{s^{2+1}}$

$L(y)=\frac{2}{s^{3}}$

2) $y=t^3$

Laplace of y,

$L(y)=L(t^3)$ here n=3

$L(y)=\frac{3!}{s^{3+1}}$

$L(y)=\frac{3\times 2}{s^{4}}$

$L(y)=\frac{6}{s^{4}}$

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2 years ago