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devlian [24]
2 years ago
10

Which of the

Mathematics
2 answers:
kondor19780726 [428]2 years ago
7 0

The pic is attached.

andre [41]2 years ago
3 0

Answer:

(-2, -4)

Step-by-step explanation:

The solution to a system of equations is an ordered pair. In order to be a solution to a system of inequalities, it has to be in the shaded area of both lines. Since both lines are shaded below the lines, the point has to be in that middle area where both the green and purple shades overlap. (-2, -4) is the only point in that picture that is in that overlapping shaded area. (-4, -1) is only in the green shaded area.

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A) Use the definition of Laplace transform to find L{f }. (Do the integrals.) For what values of s is L{f } defined?f(t) = (2t+1
kiruha [24]

For the given function f(t) = (2t + 1) using definition of Laplace transform the required solution is L(f(t))s = [ ( 2/s²) + ( 1/s) ].

As given in the question,

Given function is equal to :

f(t) = 2t + 1

Simplify the given function using definition of Laplace transform we have,

L(f(t))s = \int\limits^\infty_0 {f(t)e^{-st} } \, dt

          =  \int\limits^\infty_0[2t +1] e^{-st} dt

          = 2\int\limits^\infty_0 te^{-st} + \int\limits^\infty_0e^{-st} dt

         = 2 L(t) + L(1)

L(1) = \int\limits^\infty_0e^{-st} dt

     = (-1/s) ( 0 -1 )

     = 1/s , ( s >  0)

2L ( t ) = 2\int\limits^\infty_0 te^{-st}

        =  2[t\int\limits^\infty_0 e^{-st} - \int\limits^\infty_0 ({(d/dt)(t) \int\limits^\infty_0e^{-st} \, dt )dt]

        =  2/ s²

Now ,

L(f(t))s = 2 L(t) + L(1)

          = 2/ s² + 1/s

Therefore, the solution of the given function using Laplace transform the required solution is L(f(t))s = [ ( 2/s²) + ( 1/s) ].

Learn more about Laplace transform here

brainly.com/question/14487937

#SPJ4

8 0
11 months ago
HELP !!!! I NEED HELP ON THIS QUESTION !!!
lord [1]
Find the volumen of the semisphere and subtract the volumes of the two cylinders

1) Volume of the semisphere:

[1/2] (4/3)π(r^3) =[ 2π(1.5m)^3 ]/3 = 7.0686 m^3

2) Volumen of the cylinders:π(r^2)h

a) π(0.75/2m)^2 (1.75m) = 0.7731 m^3

b) π(1/2m)^2 (1.25m) = 0.9818 m^3

3) 7.0686 m^3 - 0.7731 m^3 - 0.9818m^3 = 5.3137 m^3

Answer: 5.3 m^3

3 0
3 years ago
One pound of chicken cost $3.00. Jim buys 8 2/3 pounds of chicken. How much does Jim pay for the chicken?
DaniilM [7]
It would cost 26 dollars because 3 multiplied by 8 is 24 plus 2/3 of 3 is 26 and that is the result of 2/3 of 3 being 2 dollars
5 0
3 years ago
The measures of the angles of a triangle are 42°, 68°, and 70°. Classify the triangle. right equiangular obtuse acute
cricket20 [7]

Answer:

Scalene acute triangle

Step-by-step explanation:

And acute has less than 90 degrees all of them are less than 90 which makes it acute, scalene

5 0
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A book club offers a choice of 8 books from a list of 40. In how many can a member make a collection?
egoroff_w [7]
You have to divide 40 by 8
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8 0
3 years ago
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