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Alexus [3.1K]
2 years ago
6

Use the laplace transform to solve the given initial-value problem. y' + y = (t − 1), y(0) = 3

Mathematics
1 answer:
GaryK [48]2 years ago
5 0

In mathematics, the Laplace transform, named after its discoverer Pierre Simon Laplace, transforms a function of real variables (usually in the time domain) into a function of complex variables (in the time domain). is the integral transform that Complex frequency domain, also called S-area or S-plane).

Learn more about Laplace transform here brainly.com/question/17062586

#SPJ4

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19.
dmitriy555 [2]

Answer:

293 feet per second

Step-by-step explanation:

1056000 feet per hour

1 hour = 60 minutes

1056000 divided by 60 = 17600 feet per minute

1 minute = 60 seconds

17600 divided by 60 = 293 feet per second

5 0
3 years ago
Please show working out thanks
IgorLugansk [536]

Answer:

10m x 15m

Step-by-step explanation:

You are given some information.

1. The area of the garden: A₁ = 150m²

2. The area of the path: A₂ = 186m²

3. The width of the path: 3m

If the garden has width w and length l, the area of the garden is:

(1) A₁ = l * w

The area of the path is given by:

(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36

Multiplying (2) with l gives:

(3) A₂l = 6l² + 6lw + 36l

Replacing l*w in (3) with A₁ from (1):

(4) A₂l = 6l² + 6A₁ + 36l

Combining:

(5) 6l² + (36 - A₂)l +6A₁ = 0

Simplifying:

(6) l² - 25l + 150 = 0

This equation can be factored:

(7) (l - 10)*(l - 15) = 0

Solving for l we get 2 solutions:

l₁ = 10, l₂ = 15

Using (1) to find w:

w₁ = 15, w₂ = 10

The two solutions are equivalent. The garden has dimensions 10m and 15m.

3 0
3 years ago
Can someone help quickly plz
Ira Lisetskai [31]
We have that

using a graph tool 
see the attached figure

the answer is the first option
y<=3x
y>-2x-1

7 0
3 years ago
A library has raised $4506. The library wants to buy as many books as it can. Each book cost $17. How many books can it buy?
7nadin3 [17]

Answer:

265 books

Step-by-step explanation:

4 0
3 years ago
Please help me with number one of your being extra nice then you can also put the others but please somebody’s help I’ll mark yo
Papessa [141]

Answer:

I think maybe/most likely point A F , turns out i did learn this already

Step-by-step explanation:

Hope this helps!

7 0
4 years ago
Read 2 more answers
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