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strojnjashka [21]
3 years ago
14

(x^3+3x^2-x-3)÷(x-1) solve using long division must show work​

Mathematics
1 answer:
garik1379 [7]3 years ago
6 0
The answer to the question

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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
Given (-2, 4) (1, -2). Find the slope of the line
gavmur [86]

Answer:

-2

Step-by-step explanation:

We can find the slope of a line given two points from

m = (y2-y1)/(x2-x1)

    = (-2-4)/(1--2)

    = (-6)/(1+2)

    =-6/3

    =-2

5 0
3 years ago
Read 2 more answers
You have a 32-foot fence around a square garden. You paint 1/3 of one side of the fence. What fraction of the fence did you pain
dmitriy555 [2]
The answer is 1/12.

The perimeter of a square garden with side s is:
P = 4s

s = 1/4P

Since it is painted 1/3 of 1/4 of the fence, the<span> fraction of the painted fence is:
1/3 * 1/4 = 1/12</span>
8 0
3 years ago
Luke receives an electric bill of $84.21\$84.21$84.21 for the month of April. The electric company charges $0.14\$0.14$0.14 per
tigry1 [53]

Answer:

The answer would be 20.05 hours per day.



4 0
3 years ago
Read 2 more answers
HELP!!
torisob [31]

195 is the answer because you replace x with 10

Step-by-step explanation:

825-630=195

3 0
3 years ago
Read 2 more answers
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