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ikadub [295]
2 years ago
13

The table shows values for the function

Mathematics
1 answer:
maw [93]2 years ago
4 0

Answer:

its b

Step-by-step explanation:

because its on usatestprep

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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
A triangle has sides of 4 and 6. What is a possible length of the third side?
svp [43]

Answer:

7.2

Step-by-step explanation:

Do 6^2 = 36

Do 4^2 = 16

Add them which equal 52

Square root of 52 is 7.2 to 1 decimal Place this is a possible length

3 0
3 years ago
Read 2 more answers
How ur wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at
AlekseyPX

The amount Howie need to pay back at the end of one year, including the interest is $26,000

Given:

Interest rate = 4%

Cost of car = $25,000

Time = 1 year

<em>Amount of interest</em> = Principal × Rate × Time

= 25,000 × 4% × 1

= 25,000 × 0.04 × 1

= $1,000

<em>Amount to be paid </em>= Amount of interest + Cost of car

= 1,000 + 25,000

= $26,000

Therefore, the amount Howie need to pay back at the end of one year, including the interest is $26,000

Learn more about interest rate:

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4 0
2 years ago
What is the solution for 4x+5=
Mamont248 [21]
I think the answer is 9
4 0
3 years ago
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Help (10 points ) ;)
joja [24]

Answer:

c

Step-by-step explanation:

7 0
3 years ago
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