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slavikrds [6]
2 years ago
8

Use the laplace transform to solve the given initial-value problem. y' + 5y = e3t, y(0) = 2

Mathematics
1 answer:
Iteru [2.4K]2 years ago
4 0

In mathematics, the Laplace transform, named after its discoverer Pierre Simon Laplace, transforms a function of real variables (usually in the time domain) into a function of complex variables (in the time domain). is the integral transform that Complex frequency domain, also called S-area or S-plane).

Learn more about Laplace transform here brainly.com/question/17062586

#SPJ4

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If only one number in a fraction is negative,does that mean the whole fraction is negative
patriot [66]
Yes it does mean the whole fraction is negative
4 0
3 years ago
If a 45 45 90 triangle has the hypothenuse of 10 what would the legs x and y be
melamori03 [73]

Answer:

Step-by-step explanation:

When working with 45-45-90 triangles the hypotenuse is the same as the other legs multiplied by root 2. Therefore if you need to find the legs and already have the hypotenuse, divide the hypotenuse by root 2.

10/ sqrt(2) = 7.1 is the rounded answer.

to double check your work just multiply 7.1 by the square root of 2 and you'll get <em>close</em> to 10. (because the answer is rounded and not exact.)

3 0
3 years ago
Which function is graphed below?
hoa [83]

Option B. y = 3 (one-third) Superscript x is the function that is graphed in this question.

<h3>How to solve the problem</h3>

We have exponential functions to be of the form abˣ

This can be written in the form of f(x) = 3\frac{1}{3} ^x

So it crosses through the point (0, 3).

From the way that the curve passes through the circle, we can see that the it is said to pass through at (0, 3) and approaches y = 0 in quadrant 1

Hence this would put our answer to be y = 3 (one-third) Superscript x

Read more on coordinate planes here

brainly.com/question/27975730?referrer=searchResults

#SPJ1

4 0
2 years ago
Read 2 more answers
Find the equation for -5,3 and 1,-5
Olegator [25]

Answer:

The image shows a stationary train indicated by letter A and a moving train, indicated by letter B. If the person standing at the train station hears sounds coming from both trains, which explanation best predicts tThe image shows a stationary train indicated by letter A and a moving train, indicated by letter B. If the person standing at the train station hears sounds coming from both trains, which explanation best predicts t

Step-by-step explanation:

4 0
3 years ago
The number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9 is . The probabi
Tems11 [23]

Answer:

1/15

Step-by-step explanation:

When we form such three-digit numbers with distinct digits using the digits  1 , 2 , 3 , 5 , 8  and  9  (in all six digits all different), observe that the order of digits does matter. For example, if we make a number using digits  1 , 2 ,  and  3 , we can have  123 , 132 , 231 , 213 , 312  or  321 .

Hence we have to find number of  3  digit numbers that can be made from these six digits using permutation and answer is ⁶ P ₃ =  6  ×  5  ×  4  =  120 .

.How haw many of them will have first digit as even, we have two choices  2  and  8 . Once we have chosen  2

for hundreds place, we can have only  8  in units place and any one of remaining  4  can be used in tens place. Hence four choices, with  2  in hundreds place and another four choices when we have  8  in hundreds place (and  2  in units place) i.e. total 8  possibilities.

Hence, the probability, that both the first digit and the last digit of the three digit number are even numbers, is  8  /120  =  1 /15

.

4 0
3 years ago
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