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Andrews [41]
2 years ago
11

Practice another write the function in terms of unit step functions. find the laplace transform of the given function. f(t) = t,

0 ≤ t < 4 0, t ≥ 4
Mathematics
1 answer:
balu736 [363]2 years ago
7 0

Using the Laplace transform to solve the given integral equation  f(t) = t, 0 ≤ t < 4 0, t ≥ 4 is \frac{4(1-2e^-5s)/}{s}

explanation is given in the image below:

Laplace remodel is an crucial remodel approach that's particularly beneficial in fixing linear regular equations. It unearths very wide programs in var- areas of physics, electrical engineering, manipulate, optics, mathematics and sign processing.

The Laplace transform technique, the function inside the time domain is transformed to a Laplace feature within the frequency area. This Laplace function could be inside the shape of an algebraic equation and it may be solved without difficulty.

Learn more about Laplace transformation here:-brainly.com/question/14487437

#SPJ4

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Answer:

-13/400

Step-by-step explanation:

The pertinent formula is

                             change in f(x) over [a, b]        f(8) - f(0)

a. r. of change = --------------------------------------- = ----------------

                              change in x over [a, b]               8 - 0

Continuing these calculations, we get:

                               2(8) - 2              2(0) - 2        14/8           -2/8

                     (1/8) -------------- - (1/8) ------------- = -----------  -  -----------

                                5(8) - 6              5(0) - 6       40 - 6           -6

                         

                                                                                7/4       1/4

This simplifies to    average rate of change =      ------- - --------

                                                                                  34         6

                                                                                    7                 1

                                                                          =   ------------- - ---------- = -13/400

                                                                                   136             24

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