Answer:
00.9
Step-by-step explanation:
Hope I hep. uuuuuuuuu
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[2t +1] e^{-st} dt](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%5Cinfty_0%5B2t%20%2B1%5D%20e%5E%7B-st%7D%20dt)
= 
= 2 L(t) + L(1)
L(1) = 
= (-1/s) ( 0 -1 )
= 1/s , ( s > 0)
2L ( t ) = 
= ![2[t\int\limits^\infty_0 e^{-st} - \int\limits^\infty_0 ({(d/dt)(t) \int\limits^\infty_0e^{-st} \, dt )dt]](https://tex.z-dn.net/?f=2%5Bt%5Cint%5Climits%5E%5Cinfty_0%20e%5E%7B-st%7D%20-%20%5Cint%5Climits%5E%5Cinfty_0%20%28%7B%28d%2Fdt%29%28t%29%20%5Cint%5Climits%5E%5Cinfty_0e%5E%7B-st%7D%20%5C%2C%20dt%20%29dt%5D)
= 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
Let
x-------> the number of hours
y------> the temperature in degrees Fahrenheit
we know that
For 

For 

The domain of the function is the interval----------> ![[0,30]](https://tex.z-dn.net/?f=%5B0%2C30%5D)

The range of the function is the interval----------> ![[-10,30]](https://tex.z-dn.net/?f=%5B-10%2C30%5D)

therefore
<u>the answer is</u>
The domain is all real numbers 0 through 30
Slope = (8 - 0)/(0 - 4) = -2
y intercept b = 8
y = mx + b where m = - 2 and b = 8
So equation y = -2x + 8
Answer
D. last one
y = -2x + 8
Hello from MrBillDoesMath!
Answer: factor = 4
Discussion:
Look at the sequence of numbers
1/64, 1/16, 1/4, 1, 4
It's seems clear that multiplying a term by 4 gives the next term in the sequence.
Thank you,
MrB