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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:

Step-by-step explanation:

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Subtracting 5 from each score in a distribution with a mean equal to 40 and a standard deviation equal to 3 will result in a sta
LenaWriter [7]

Adding or subtracting a constant from each value of a distribution changes the mean, but not the standard deviation.


The standard deviation will equal 3.

6 0
3 years ago
Steven invests $20,000 in an account earning 3% interest, compounded annually for 10 years. Three years after Stevens's initial
Effectus [21]

The formula to find the amount is

here A is amount

P is the principal

'r' is the rate of interest

n is the number of years.

Case 1.

Stevan invests

P =$ 20,000

r = 3% = 0.03

n = 10 years

Hence the interest earned

= A - P = 26878.33 - 20000 = $6878.33

Case 2.

Evan invests

P = $10,000

r = 7% = 0.07

n = 7 years

Hence the interest earned

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Difference in the interest = 6878.33 - 6057.81 = $820.52

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6 0
3 years ago
Angle A measures 50 degrees. If angle A is rotated 45 degrees, what is the measure of angle A'? 45 degrees 50 degrees 95 degrees
ehidna [41]

Answer:

45 degrees

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7 0
3 years ago
Suppose that a group of 10 students are to be assigned to four dorm rooms: a single, a double, a triple and a quad. How many way
Nesterboy [21]

Answer:

Total number of ways to select all sstudent to make assignment = 10×36×70×1 = 25200

Step-by-step explanation:

We have given number of students = 10

These 10 students are assigned to four dorm rooms a single, a double, a triple and a quad

So number of ways to assigned single student =^{10}C_1=\frac{10!}{1!9!}=10\\

Now left student = 10 -1 = 9

So number of ways to assigned double student =^{9}C_2=\frac{9!}{2!7!}=36

Now left student = 9-2 = 7

So number of ways to assigned triple student =^{7}C_3=\frac{7!}{2!4!}==70

Now left student = 7 - 3 = 4

So number of ways to assigned quad student =^{4}C_4=\frac{4!}{4!0!}=1

So total number of ways to select all sstudent to make assignment = 10×36×70×1 = 25200

6 0
3 years ago
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