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3 years ago

How is the product related to the first factor? 3/7x8/9

Mathematics

1 answer:

notka56 [123]3 years ago

7 0

Simplify your regular answer then you'll get it.

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(with steps please) Find the inverse Laplace transform, f(t), of the function: 16/(s-4)^3

Stells [14]

Answer: The required inverse transform of the given function is

$f(t)=8t^2e^{4t}.$

Step-by-step explanation: We are given to find the inverse Laplace transform, f(t), of the following function :

$F(s)=\dfrac{16}{(s-4)^3}.$

We have the following Laplace formula :

$L\{t^ne^{at}\}=\dfrac{n!}{(s-a)^{n+1}}\\\\\\\Rightarrow L^{-1}\{\dfrac{1}{(s-a)^{n+1}}\}=\dfrac{t^ne^{at}}{n!}.$

Therefore, we get

$f(t)\\\\=L^{-1}\{\dfrac{16}{(s-4)^3}\}\\\\\\=16\times\dfrac{t^{3-1e^{4t}}}{(3-1)!}\\\\\\=\dfrac{16}{2}t^2e^{4t}\\\\\\=8t^2e^{4t}.$

Thus, the required inverse transform of the given function is

$f(t)=8t^2e^{4t}.$

6 0

3 years ago

Which statement is true?

melamori03 [73]

Answer:

c ???

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

HELPPP!! Plzzzz can’t do any more points so 10

Anestetic [448]

3. Answer: a) RT

b) XZ

c) TS

4. Answer: a) 26

b) 58

c) 21.5

d) 127

<u>Step-by-step explanation:</u>

2(PT) = AE 2(CP) = AN 2(CT) = EN

2(13) = AE 2(29) = AN 2(CT) = 43

26 = AE 58 = AN CT = 21.5

Perimeter = AE + AN + EN

= 26 + 58 + 43

= 127

4 0

3 years ago

you bought 4 pairs of socks @ 2.29 each and one cap @ 5.98. With a sales tax of 4%, what was the total amount of the purchase?

coldgirl [10]

The Total amount should be $15.71

5 0

3 years ago

Read 2 more answers

Sylvia, John, and Peter invested their savings in a bank. The ratio of the investment of Sylvia's to John's is 1: 3 and that of

Nastasia [14]

Answer:

4 : 12 : 15

Step-by-step explanation:

S : J = 1 : 3

J : P= 4 : 5

Using John's ratio to find a common ratio for all

S : J

(1 : 3)4 = 4 : 12

J : P

(4 : 5)3 = 12 : 15

Therefore our ratio is

S : J : P

4 : 12 : 15

3 0

3 years ago