3 years ago

Please solve, I have more of these to solve

Mathematics

1 answer:

earnstyle [38]3 years ago

6 0

Answer:

I am trying to do the same it's so HARD

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Use Laplace transform methods to solve the differential equation: The initial conditions are f(0) = 0 and <img src="https://tex.

Llana [10]

Answer:

Step-by-step explanation:

$\frac{d^2 y}{dt^2} +12\frac{dy}{dt} +32y = 10e^{-2t}$ where f(x) is replaced by y

Take Laplace on both sides

$s^2 Y -s(0)-0 +12s Y-0+32Y = \frac{10}{s+2} \\Y(s^2+12s+32) = \frac{10}{s+2}\\Y = \frac{10}{(s+2)(s+4)(s+8)}$

We can resolve into partial fraction to get Y = L(y)

Let this equals

$\frac{A}{s+2} +\frac{B}{s+4} +\frac{C}{s+8} \\10 = A(s+4)(s+8) + B(s+2)(s+8) +Cs+4)(s+2) \\$

Solving we get

s=-9

24C = 10 or C =5/12

s=-2: A=10/12=5/6

s=-4: B = -5/4

Taking inverse Laplace

$y(t) = \frac{-5e^{-4t} }{4} + \frac{5e^{-8t} }{12} +\frac{-5e^{-2t} }{6}$

6 0

3 years ago

2x + 3 > 13<br> x= 0<br> is this true?<br> O True<br> O False

omeli [17]

False.

Replace x with 0 and solve:

2(0) + 3 = 0+ 3 = 3

3 is not greater than 13 so the answer is false.

5 0

1 year ago

Number 4 pls help plssssssssssssss I will pay u plssssssssssss help me out. its number 4

Alex73 [517]

Answer:

40%

Step-by-step explanation:

i used a calculator

7 0

2 years ago

Write an equation of a line that passes through the point (-5,3) and is parallel to the line y = -2x + 5.

zimovet [89]

Answer:

Step-by-step explanation:

y = -2x+5

slope of line is -2.

slope of parallel to line is also -2

point-slope equation for line of slope -2 that passes through (-5,3):

y-3 = -2(x+5)

8 0

2 years ago

440 divided by 2/5 please

emmainna [20.7K]

The answer for this question is 1,100

5 0

2 years ago

Read 2 more answers