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3 years ago

I really need help with these problems ?

Mathematics

1 answer:

Trava [24]3 years ago

7 0

Answer:

A: Area of 4 walls - door - window = 2x11x8 +2x12.5x8 - 3x7 -3x2 = 349 (ft2)

B: Cost: 349 x 0.8 = 279.2 $

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Use the laplace transform to solve the given initial-value problem. y'' − 4y' + 4y = t3e2t, y(0) = 0, y'(0) = 0

DanielleElmas [232]

The Laplace of the given equation is $y=-\frac{15e^2}{8}e^{2t}+\left(-3e^2+\frac{15e^2}{4}\right)e^{2t}t+\frac{e^2t^4}{4}+e^2t^3+\frac{9e^2t^2}{4}+3e^2t+\frac{15e^2}{8}$ .

According to the statement

we have given that the equation and we have to solve this problem with the help of the Laplace transform.

So, According to the statement

the given equation is

y'' − 4y' + 4y = t^3e^2t, y(0) = 0, y'(0) = 0

And the Laplace transform is an integral transform method which is particularly useful in solving linear ordinary differential equations.

Firstly fill the value of the Laplace of the second order derivative and put x = 0 in the equation

And same it with the first order of the derivative.

And then the Laplace of the equation become

$y=-\frac{15e^2}{8}e^{2t}+\left(-3e^2+\frac{15e^2}{4}\right)e^{2t}t+\frac{e^2t^4}{4}+e^2t^3+\frac{9e^2t^2}{4}+3e^2t+\frac{15e^2}{8}$

So, The Laplace of the given equation is $y=-\frac{15e^2}{8}e^{2t}+\left(-3e^2+\frac{15e^2}{4}\right)e^{2t}t+\frac{e^2t^4}{4}+e^2t^3+\frac{9e^2t^2}{4}+3e^2t+\frac{15e^2}{8}$

Learn more about Laplace transform here

brainly.com/question/17062586

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5 0

2 years ago

Juan ate 15 grapes in 30 seconds at this rate how long should it take him to eat 85 grapes

Ghella [55]

85 / 15 = 5 2/3
30 x 5 = 150
2/3 x 30 = 20
The answer is 170 seconds, or 2 minutes and 50 seconds

7 0

3 years ago

Read 2 more answers

Just 32, 34 and 36 please

Vinil7 [7]

Answer:

32 is k=2.2

34 is h=20

36 is x=1

3 0

4 years ago

Determine if the sequence is arithmetic or geometric. Then find the next term in the sequence. Select all that apply. 1, -4, 16,

Tcecarenko [31]

Hello,

$u_{1} =1\\\\
 u_{2} =-4=1*(-4)= u_{1} *(-4)\\\\
 u_{3} =16=(-4)*(-4)= u_{2} *(-4)\\\\
 u_{4} =-64=16*(-4)= u_{3} *(-4)\\\\
 u_{5} =(-64)*(-4)= 256=u_{4} *(-4)\\\\

$
The sequence is geometric of ratio -4.

Answer 2 and 4 are good. others false

7 0

3 years ago

Which unit would be best to measusure the length of envelope A.millimeters B.cm C.meters D.km

Alborosie

Probably B

hope this helps c:

4 0

3 years ago

Read 2 more answers